Journal articles: 'Fractional PID controller'

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Huang, You Rui, and Hai Bo Hu. "Design of Fractional Order PID Controller Based on Artificial Immune Algorithm." Advanced Materials Research 268-270 (July 2011): 1061–66. http://dx.doi.org/10.4028/www.scientific.net/amr.268-270.1061.

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PID control scheme has been widely used in most of control system. The method of design PID controller is mature gradually. Due to the controlled object is nonlinear and time-varying, so the integer PID controller can not achieve the desired effect. After study people found that the application of fractional order PID controllers can solve the problem of time-varying and nonlinear very well and the controller has high control precision. Currently, the method of design fractional order PID controllers is little. This article describes an artificial immune algorithm and using MATLAB for simulation, the simulation results demonstrate that the artificial immune algorithm has little error and high optimization speed than traditional optimization algorithm, and the fractional order PID controller has a better control effect than traditional integer PID controller.

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Song, Yinglei. "A Fractional PID Controller Based on Particle Swarm Optimization Algorithm." Journal of Autonomous Intelligence 3, no. 1 (June 18, 2020): 1. http://dx.doi.org/10.32629/jai.v3i1.94.

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Fractional PID controller is a convenient fractional structure that has been used to solve many problems in automatic control. The fractional scale proportional-integral-differential controller is a generalization of the integer order PID controller in the complex domain. By introducing two adjustable parameters and , the controller parameter tuning range becomes larger, but the parameter design becomes more complex. This paper presents a new method for the design of fractional PID controllers. Specifically, the parameters of a fractional PID controller are optimized by a particle swarm optimization algorithm. Our simulation results on cold rolling APC system show that the designed controller can achieve control accuracy higher than that of a traditional PID controller.

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Shah, Pritesh, and Sudhir Agashe. "Review of fractional PID controller." Mechatronics 38 (September 2016): 29–41. http://dx.doi.org/10.1016/j.mechatronics.2016.06.005.

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Patil, Manoj D., K. Vadirajacharya, and Swapnil Khubalkar. "Design of fractional order controllers using constrained optimization and reference tracking method." International Journal of Power Electronics and Drive Systems (IJPEDS) 11, no. 1 (March 1, 2020): 291. http://dx.doi.org/10.11591/ijpeds.v11.i1.pp291-301.

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In recent times, fractional order controllers are gaining more interest. There are several fractional order controllers are available in literature. Still, tuning of these controllers is one of the main issues which the control community is facing. In this paper, online tuning of five dierent fractional order controllers is discussed viz. tilted proportional-integral-derivative (T-PID) controller, fractional order proportional-integral (FO-PI) controller, fractional order proportional-derivative (FO-PD) controller, fractional order proportional-integral-derivative (FO-PID) controller. A reference tracking method is proposed for tuning of fractional order controllers. First order with dead time (FOWDT) system is used to check feasibility of the control strategy.

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Hajiloo, Amir, and Wen-Fang Xie. "Multi-Objective Optimal Fuzzy Fractional-Order PID Controller Design." Journal of Advanced Computational Intelligence and Intelligent Informatics 18, no. 3 (May 20, 2014): 262–70. http://dx.doi.org/10.20965/jaciii.2014.p0262.

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The design of the optimal fuzzy fractional-order PID controller is addressed in this work. A multi-objective genetic algorithm is proposed to design rule base and membership functions of the fuzzy logic systems. Three conflicting objective functions in both time and frequency domains have been used in Pareto design of the fuzzy fractional-order PID controller. The simulation results reveal the effectiveness of the proposed method in comparison with the results produced by the fractional-order PID controllers.

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Soriano-Sánchez, Allan G., Martín A. Rodríguez-Licea, Francisco J. Pérez-Pinal, and José A. Vázquez-López. "Fractional-Order Approximation and Synthesis of a PID Controller for a Buck Converter." Energies 13, no. 3 (February 3, 2020): 629. http://dx.doi.org/10.3390/en13030629.

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In this paper, the approximation of a fractional-order PIDcontroller is proposed to control a DC–DC converter. The synthesis and tuning process of the non-integer PID controller is described step by step. A biquadratic approximation is used to produce a flat phase response in a band-limited frequency spectrum. The proposed method takes into consideration both robustness and desired closed-loop characteristics, keeping the tuning process simple. The transfer function of the fractional-order PID controller and its time domain representation are described and analyzed. The step response of the fractional-order PID approximation shows a faster and stable regulation capacity. The comparison between typical PID controllers and the non-integer PID controller is provided to quantify the regulation speed introduced by the fractional-order PID approximation. Numerical simulations are provided to corroborate the effectiveness of the non-integer PID controller.

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Mukherjee, Deep, Palash Kundu, and Apurba Ghosh. "A Better Stability Control of Inverted Pendulum System Using FMINCON Based FOPID Controller Over Fractional Order Based MRAC Controller." International Journal of Natural Computing Research 8, no. 1 (January 2019): 18–30. http://dx.doi.org/10.4018/ijncr.2019010102.

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In this article, a stability analysis on an inverted pendulum system has been approached using a fractional order PID controller and a fractional order-based model reference adaptive controller. A modified MIT rule provides an extra degree of freedom, unlike an MIT rule of MRAC controllers to stablize the pendulum angle of the inverted pendulum system which is highly unstable in nature. Here, to analyze better stability performance of the inverted pendulum over the fractional order MIT rule of MRAC controller optimal fractional order, a PID controller has been approached and FMINCON numerical optimization algorithm has been chosen to optimize the fractional order PID controller using ITSE as a scaler objective function. Next, the behaviourial characteristics of the pendulum have been compared between the FMINCON-based FOPID controllers and the fractional order MIT rule of the MRAC controller to show robust performance using an optimal FOPID controller with respect to performance indices increases time, settling time, followed by errors ISE, IAE, ITSE.

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Chen, Yao, Tao Zhao, Songyi Dian, Xiaodong Zeng, and Haipeng Wang. "Balance Adjustment of Power-Line Inspection Robot Using General Type-2 Fractional Order Fuzzy PID Controller." Symmetry 12, no. 3 (March 19, 2020): 479. http://dx.doi.org/10.3390/sym12030479.

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In this study, a general type-2 fractional order fuzzy PID (GT2FO-FPID) controller is proposed to fulfil the balance adjustment of the Power-line Inspection (PLI) robot system. It is a combination of Mamdani general type-2 fuzzy logic controller (GT2-FLC) and fractional PID controller. Since the PLI robot system is an under-actuated system, it’s necessary to get complete information of the system. However, when all state variables are treated as input to the controller, there is a problem with the rule explosion. Because of this, the information fusion method is adopt to solve the problem and simplify the controller design. At the same time, fractional-order integral-differential operators and input-output scaling factors, which are taken as design variables and optimized by genetic algorithm (GA). To assess the performance of proposed controller based on symmetry criterion, we compared it against existing controllers, i.e., interval type-2 fractional order fuzzy PID (IT2FO-FPID), type-1 fractional order fuzzy PID (T1FO-FPID), and conventional fractional order (FOPID) controllers. Furthermore, to show the anti-inference ability of the proposed controller, three common perturbed process are tested. Finally, simulation results show that the GT2FO-FPID controller outperforms other controllers in the presence of external perturbations on the PLI robot system.

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Liu, Lu, Feng Pan, and Dingyu Xue. "Variable-order fuzzy fractional PID controller." ISA Transactions 55 (March 2015): 227–33. http://dx.doi.org/10.1016/j.isatra.2014.09.012.

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Fayazi, Ali. "Synchronization of Chaotic Fractional-Order Systems via Fractional-Order Adaptive Controller." Applied Mechanics and Materials 109 (October 2011): 333–39. http://dx.doi.org/10.4028/www.scientific.net/amm.109.333.

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In this paper, an adaptive fractional-order controller has been designed for synchronization of chaotic fractional-order systems. This controller is a fractional PID controller, which the coefficients will be tuned according to a proper adaptation mechanism. PID coefficients are updated using the gradient method when a proper sliding surface is chosen. To illustrate the effectiveness and performance of the controller, the proposed controller implements on a pair of topologically inequivalent chaotic fractional-order systems. The Genesio-Tessi and Coullet systems. Performance of fractional-order adaptive PID controller (PαIλDμ) on the basis of speed of synchronization, error of synchronization, and level of control signal, is compared with the conventional ones (adaptive PID controller) and sliding mod controller (SMC). The simulation results reducing the level of control signal indicate the significance of the proposed controller.

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Guo, Ying-Qing, Jie Zhang, Dong-Qing He, and Jin-Bao Li. "Magnetorheological Elastomer Precision Platform Control Using OFFO-PID Algorithm." Advances in Materials Science and Engineering 2020 (February 26, 2020): 1–9. http://dx.doi.org/10.1155/2020/3025863.

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The magnetorheological elastomer (MRE) is a kind of smart material, which is often processed as vibration isolation and mitigation devices to realize the vibration control of the controlled system. The key to the effective isolation of vibration and shock absorption is how to accurately and in real time determine the magnitude of the applied magnetic field according to the motion state of the controlled system. In this paper, an optimal fuzzy fractional-order PID (OFFO-PID) algorithm is proposed to realize the vibration isolation and mitigation control of the precision platform with MRE devices. In the algorithm, the particle swarm optimization algorithm is used to optimize initial values of the fractional-order PID controller, and the fuzzy algorithm is used to update parameters of the fractional-order PID controller in real time, and the fractional-order PID controller is used to produce the control currents of the MRE devices. Numerical analysis for a platform with the MRE device is carried out to validate the effectiveness of the algorithm. Results show that the OFFO-PID algorithm can effectively reduce the dynamic responses of the precision platform system. Also, compared with the fuzzy fractional-order PID algorithm and the traditional PID algorithm, the OFFO-PID algorithm is better.

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Tabak, Abdulsamed. "A novel fractional order PID plus derivative (PIλDµDµ2) controller for AVR system using equilibrium optimizer." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 40, no. 3 (July 13, 2021): 722–43. http://dx.doi.org/10.1108/compel-02-2021-0044.

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Purpose The purpose of this paper is to improve transient response and dynamic performance of automatic voltage regulator (AVR). Design/methodology/approach This paper proposes a novel fractional order proportional–integral–derivative plus derivative (PIλDµDµ2) controller called FOPIDD for AVR system. The FOPIDD controller has seven optimization parameters and the equilibrium optimizer algorithm is used for tuning of controller parameters. The utilized objective function is widely preferred in AVR systems and consists of transient response characteristics. Findings In this study, results of AVR system controlled by FOPIDD is compared with results of proportional–integral–derivative (PID), proportional–integral–derivative acceleration, PID plus second order derivative and fractional order PID controllers. FOPIDD outperforms compared controllers in terms of transient response criteria such as settling time, rise time and overshoot. Then, the frequency domain analysis is performed for the AVR system with FOPIDD controller, and the results are found satisfactory. In addition, robustness test is realized for evaluating performance of FOPIDD controller in perturbed system parameters. In robustness test, FOPIDD controller shows superior control performance. Originality/value The FOPIDD controller is introduced for the first time to improve the control performance of the AVR system. The proposed FOPIDD controller has shown superior performance on AVR systems because of having seven optimization parameters and being fractional order based.

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Nouruzi Ghazbi, Somayeh, and Alireza Akbarzadeh. "Fractional order PID Design using the Taguchi method." IAES International Journal of Robotics and Automation (IJRA) 4, no. 3 (September 1, 2015): 176. http://dx.doi.org/10.11591/ijra.v4i3.pp176-185.

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<p>This paper presents a gain-tuning scheme for Fractional order PID control systems using the Taguchi method. A prismatic series elastic actuator is selected as an experimental set-up. An optimal controller gains has been obtained through a series of experiments suggested by the Taguchi method. Four stages of tuning are performed in order to accurately tune the controller gains. It is shown that when performance of the proposed controller is compared with two additional controllers: a traditional FOPID tuned with Ziegler-Nichols (Z-N) method and a PID tunned with genetic algorithm, a 94% and 84% improvements in position error is observed, respectively.</p>

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Sudha, T. "Multi-Objective Optimization Based Multi-Objective Controller Tuning Method with Robust Stabilization of Fractional Calculus CSTR." WSEAS TRANSACTIONS ON SYSTEMS AND CONTROL 16 (July 8, 2021): 375–82. http://dx.doi.org/10.37394/23203.2021.16.32.

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In Continuous Stirred Tank Reactor (CSTR) have Fractional order PID with the nominal order PID controller has been used to Multi-Criteria Decision Making (MCDM) and EMO (Evolutionary Multi-objective Optimization) by adjustment of control parameters like Hybrid methods in Multi objective optimization. But, this Fractional order PID with the nominal PID controller has maximum performance estimation. Proposed research work focused the Flower Pollination Algorithm based on Multi objective optimization with Genetic evaluation and Fractional order PID with the nominal PID controller is provides CSTR results. When a flower is displayed to maximum variations in this practical state, the Genetic evaluation has been used to identify the variations. The FPID (Flower Pollination Integral Derivative) is used for tuning the parameters of a Fractional order PID with the nominal PID controller for each region to improve the multi-criteria decision making. FPID also denoted as Flower Optimization Integral Derivative (FOID). The Genetic evaluation scheduler has been combined with multiple local linear Fractional order PID with the nominal PID controller to check the stability of loop for entire regions with various levels of temperatures. MATLAB results demonstrate that the feasibility of using the proposed Fractional order PID with the nominal PID controller compared than the existing PID controller, and it shows the FOID attained better results.

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Liu, Lu, and Shuo Zhang. "Robust Fractional-Order PID Controller Tuning Based on Bode’s Optimal Loop Shaping." Complexity 2018 (June 25, 2018): 1–14. http://dx.doi.org/10.1155/2018/6570560.

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This paper presents a novel fractional-order PID controller tuning strategy based on Bode’s optimal loop shaping which is commonly used for LTI feedback systems. Firstly, the controller parameters are achieved based on flat phase property and Bode’s optimal reference model, so that the controlled system is robust to gain variations and can achieve desirable transient performance according to various control requirements. Then, robustness analysis of the controlled system is carried out to support the results. Furthermore, the parameter setting is analyzed to demonstrate the superiority of the proposed controller. At last, some simulation examples are shown to verify the accuracy and usefulness of the proposed control strategy. The proposed fractional-order PID controller does not have any restriction on the controlled plant, so it can be widely applied on both integer-order and fractional-order systems.

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K, Aseem, and Selva Kumar S. "Closed loop control of DC-DC converters using PID and FOPID controllers." International Journal of Power Electronics and Drive Systems (IJPEDS) 11, no. 3 (September 1, 2020): 1323. http://dx.doi.org/10.11591/ijpeds.v11.i3.pp1323-1332.

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Fractional order controllers are nowadays used in various power electronic converters as it is giving superior control performance compared with conventional PID controllers. This paper presents the closed loop control of different DC-DC converters using PID controllers and Fractional Order PID (FOPID) controllers. The closed loop control of the basic converters such as buck, boost, buck-boost converters and dual input single output DC-DC converters were designed, modeled and analyzed using conventional PID controller and FOPID controllers. The performance of the controllers are compared in terms of the different time domain specifications like overshoot, rise time, settling time, etc. and simulated in MATLAB Simulink platform. For all types of the DC-DC converters, FOPID controller gives far better performance compared with conventional PID controllers.

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Edet, Emmanuel, and Reza Katebi. "On Fractional Predictive PID Controller Design Method." IFAC-PapersOnLine 50, no. 1 (July 2017): 8555–60. http://dx.doi.org/10.1016/j.ifacol.2017.08.1416.

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Čech, M. "Web-Based Fractional PID Controller Design: www.PIDlab.com." IFAC-PapersOnLine 51, no. 4 (2018): 563–68. http://dx.doi.org/10.1016/j.ifacol.2018.06.155.

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Nariman Zadeh, Nader, and Amir Hajiloo. "Pareto Optimal Robust Design of Fuzzy Fractional-Order Pid Controllers." Advanced Materials Research 403-408 (November 2011): 4735–42. http://dx.doi.org/10.4028/www.scientific.net/amr.403-408.4735.

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In this paper, a multi-objective uniform-diversity genetic algorithm (MUGA) is used for Pareto optimum design of fuzzy fractional-order PID controllers for plants with parametric uncertainties. Two conflicting objective functions have been used in Pareto design of the fuzzy fractional-order PID controller. The results clearly show that an effective trade-off can be compromisingly achieved among the different fuzzy fractional-order PID controllers obtained using the methodology of this work and to achieve a robust design against the plant’s uncertainties.

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Wang, Yan Mei, Yi Jie Liu, Rui Zhu, and Yan Zhu Zhang. "Fractional-Order PID Controller of a Heating-Furnace System." Advanced Materials Research 490-495 (March 2012): 1145–49. http://dx.doi.org/10.4028/www.scientific.net/amr.490-495.1145.

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This paper discusses the fractional-order controller of heating-furnace system, a new PID controller of heating-furnace system based on fractional calculus will be considered. Classical PID control method is also studied. Then, this paper presents the fractional-order PID control method based on integer-order model of heating-furnace system. Meanwhile, simulation study is done. Comparing the control methods and strategies of integer order model of the heating-furnace system, a conclusion is drawn that PID control based on fractional calculus is much more complex than that of integer order controller. Numerical simulations are used to illustrate the improvements of the proposed controller for the integer-order heating-furnace systems.

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Abdulwahhab, Omar Waleed, and Nizar Hadi Abbas. "Survey Study of Factional Order Controllers." Journal of Engineering 26, no. 4 (March 23, 2020): 188–201. http://dx.doi.org/10.31026/j.eng.2020.04.13.

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This is a survey study that presents recent researches concerning factional controllers. It presents several types of fractional order controllers, which are extensions to their integer order counterparts. The fractional order PID controller has a dominant importance, so thirty-one paper are presented for this controller. The remaining types of controllers are presented according to the number of papers that handle them; they are fractional order sliding mode controller (nine papers), fuzzy fractional order sliding mode controller (five papers), fractional order lag-lead compensator (three papers), fractional order state feedback controller (three papers), fractional order fuzzy logic controller (three papers). Finally, several conclusions were drawn from the results that were given in this papers

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Warrier, Preeti, and Pritesh Shah. "Optimal Fractional PID Controller for Buck Converter Using Cohort Intelligent Algorithm." Applied System Innovation 4, no. 3 (August 4, 2021): 50. http://dx.doi.org/10.3390/asi4030050.

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The control of power converters is difficult due to their non-linear nature and, hence, the quest for smart and efficient controllers is continuous and ongoing. Fractional-order controllers have demonstrated superior performance in power electronic systems in recent years. However, it is a challenge to attain optimal parameters of the fractional-order controller for such types of systems. This article describes the optimal design of a fractional order PID (FOPID) controller for a buck converter using the cohort intelligence (CI) optimization approach. The CI is an artificial intelligence-based socio-inspired meta-heuristic algorithm, which has been inspired by the behavior of a group of candidates called a cohort. The FOPID controller parameters are designed for the minimization of various performance indices, with more emphasis on the integral squared error (ISE) performance index. The FOPID controller shows faster transient and dynamic response characteristics in comparison to the conventional PID controller. Comparison of the proposed method with different optimization techniques like the GA, PSO, ABC, and SA shows good results in lesser computational time. Hence the CI method can be effectively used for the optimal tuning of FOPID controllers, as it gives comparable results to other optimization algorithms at a much faster rate. Such controllers can be optimized for multiple objectives and used in the control of various power converters giving rise to more efficient systems catering to the Industry 4.0 standards.

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Chennippan, Maheswari, Priyanka E. Bhaskaran, Thangavel Subramaniam, Balasubramaniam Meenakshipriya, Kasilingam Krishnamurthy, and Varatharaj Arun Kumar. "Design and Experimental Investigations on NOx Emission Control Using FOCDM (Fractional-Order-Based Coefficient Diagram Method)-PIλDµ Controller." Journal Européen des Systèmes Automatisés 53, no. 5 (November 15, 2020): 695–703. http://dx.doi.org/10.18280/jesa.530512.

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This paper aims to explore experimental studies on the NOx removal process by using pilot plant packed column experimental hardware. Physical modeling based on chemical absorption equations is used to estimate the diameter concerning the height and L/G ratio. Hydrogen peroxide is used as the additive for achieving high NOx removal efficiency. The absorbent entering into the packed column has been controlled by varying its flow rate through the fractional order controller. The FOCDM-PIλDµ controller tuning parameters such as KP, τI, τD are determined using CDM (Coefficient Diagram Method) PID control strategy and the additional parameters of FOCDM-PIλDµ controller such as λ and µ are determined based on the PSO algorithm. The comparative analysis is performed with classical controllers like ZN-PID along with the CDM-PID controllers.

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Shashidhar, Vasampalli, and Dola Gobinda Padhan. "A rubust fractional order PID controller for MIMO power systems." E3S Web of Conferences 87 (2019): 01024. http://dx.doi.org/10.1051/e3sconf/20198701024.

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This paper proposes a novel fractional order PID control scheme for Multi Input and Multi Output (MIMO) power systems. This control scheme utilizes Cuckoo Search algorithm to tune the fractional PID controller to guarantee better closed loop performance in the transmission or distribution networks. Cuckoo Search optimization algorithm is proposed to optimize gain values of the fractional PID controller. The effectiveness of the proposed control strategy has been assessed by simulations in MATLAB/Simulink platform. The robustness of the proposed controller has been validated by varying the plant parameters.

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Sivananaithaperumal, Sudalaiandi, and Subramanian Baskar. "Design Of Multivariable Fractional Order Pid Controller Using Covariance Matrix Adaptation Evolution Strategy." Archives of Control Sciences 24, no. 2 (June 1, 2014): 235–51. http://dx.doi.org/10.2478/acsc-2014-0014.

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Abstract This paper presents an automatic tuning of multivariable Fractional-Order Proportional, Integral and Derivative controller (FO-PID) parameters using Covariance Matrix Adaptation Evolution Strategy (CMAES) algorithm. Decoupled multivariable FO-PI and FO-PID controller structures are considered. Oustaloup integer order approximation is used for the fractional integrals and derivatives. For validation, two Multi-Input Multi- Output (MIMO) distillation columns described byWood and Berry and Ogunnaike and Ray are considered for the design of multivariable FO-PID controller. Optimal FO-PID controller is designed by minimizing Integral Absolute Error (IAE) as objective function. The results of previously reported PI/PID controller are considered for comparison purposes. Simulation results reveal that the performance of FOPI and FO-PID controller is better than integer order PI/PID controller in terms of IAE. Also, CMAES algorithm is suitable for the design of FO-PI / FO-PID controller.

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Lal, Deepak Kumar, and Ajit Kumar Barisal. "Grasshopper Algorithm Optimized Fractional Order Fuzzy PID Frequency Controller for Hybrid Power Systems." Recent Advances in Electrical & Electronic Engineering (Formerly Recent Patents on Electrical & Electronic Engineering) 12, no. 6 (November 22, 2019): 519–31. http://dx.doi.org/10.2174/2352096511666180717142058.

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Background: Due to the increasing demand for the electrical power and limitations of conventional energy to produce electricity. Methods: Now the Microgrid (MG) system based on alternative energy sources are used to provide electrical energy to fulfill the increasing demand. The power system frequency deviates from its nominal value when the generation differs the load demand. The paper presents, Load Frequency Control (LFC) of a hybrid power structure consisting of a reheat turbine thermal unit, hydropower generation unit and Distributed Generation (DG) resources. Results: The execution of the proposed fractional order Fuzzy proportional-integral-derivative (FO Fuzzy PID) controller is explored by comparing the results with different types of controllers such as PID, fractional order PID (FOPID) and Fuzzy PID controllers. The controller parameters are optimized with a novel application of Grasshopper Optimization Algorithm (GOA). The robustness of the proposed FO Fuzzy PID controller towards different loading, Step Load Perturbations (SLP) and random step change of wind power is tested. Further, the study is extended to an AC microgrid integrated three region thermal power systems. Conclusion: The performed time domain simulations results demonstrate the effectiveness of the proposed FO Fuzzy PID controller and show that it has better performance than that of PID, FOPID and Fuzzy PID controllers. The suggested approach is reached out to the more practical multi-region power system. Thus, the worthiness and adequacy of the proposed technique are verified effectively.

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Wang, Ning, Jianmei Wang, Zhixiong Li, Xuefeng Tang, and Dingbang Hou. "Fractional-Order PID Control Strategy on Hydraulic-Loading System of Typical Electromechanical Platform." Sensors 18, no. 9 (September 10, 2018): 3024. http://dx.doi.org/10.3390/s18093024.

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In this paper, a control method for a hydraulic loading system of an electromechanical platform based on a fractional-order PID (Proportion-Integration-Differentiation) controller is proposed, which is used to drive the loading system of a mechatronic journal test rig. The mathematical model of the control system is established according to the principle of the electro-hydraulic system. Considering the indetermination of model parameters, the method of parameter identification was used to verify the rationality of the theoretical model. In order to improve the control precision of the hydraulic loading system, the traditional PID controller and fractional-order PID controller are designed by selecting appropriate tuning parameters. Their control performances are analyzed in frequency domain and time domain, respectively. The results show that the fractional-order PID controller has better control effect. By observing the actual control effect of the fractional-order PID controller on the journal test rig, the effectiveness of this control algorithm is verified.

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Fadel Mohammed, Bassam, and Abdelelah Kidher Mahmood. "Digital Fractional Order PID Controller Design And Realization." AL-Rafdain Engineering Journal (AREJ) 22, no. 4 (September 28, 2014): 57–64. http://dx.doi.org/10.33899/rengj.2014.100848.

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Rahmani, Mohammad Reza. "Fractional Order PID Controller Tuning Based on IMC." International Journal of Information Technology, Control and Automation 2, no. 4 (October 31, 2012): 21–35. http://dx.doi.org/10.5121/ijitca.2012.2403.

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De Keyser, Robin, Cristina I. Muresan, and Clara M. Ionescu. "Autotuning of a Robust Fractional Order PID Controller." IFAC-PapersOnLine 51, no. 25 (2018): 466–71. http://dx.doi.org/10.1016/j.ifacol.2018.11.181.

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Sondhi, Swati, and Yogesh V. Hote. "Fractional order PID controller for load frequency control." Energy Conversion and Management 85 (September 2014): 343–53. http://dx.doi.org/10.1016/j.enconman.2014.05.091.

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Zhao, HM, DY Li, W. Deng, and XH Yang. "Research on vibration suppression method of alternating current motor based on fractional order control strategy." Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering 231, no. 4 (March 8, 2016): 786–99. http://dx.doi.org/10.1177/0954408916637380.

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At present, the changing structure, material and increasing device are used to suppress the vibration of motor in general. These methods increase system complexity in the different degree. So a novel vibration suppression method based on fractional order Proportional-Integral-Derivative (PID) controller is proposed in this article. First, the digital realization process of fractional order PID controller is illustrated in detail. Then the integer order PID controller and fractional order PID controller are, respectively, used to adjust the input current of inverter to control the 1.5 kW alternating current motor. The vibration frequency spectrums and stator current frequency spectrums in low-frequency and carrier frequency band are, respectively, studied by using the comparison and analysis methods. At the same time, the vibration frequency spectrum and stator current frequency spectrum of 15 kW alternating current motor are compared and analyzed. And the frequency spectrums near the rotating frequency of stator current of 1.5 kW and 15 kW alternating current motors are amplified to deeply analyze spectrum characteristics. The experimental results show that the fractional order PID controller has the characteristics of multi-point control by comparing with the integer order PID controller. It changes the frequency components of stator current, and then the electromagnetic torque is more stable. So, the fractional order PID controller can better suppress the vibration of alternating current motor. The proposed method can provide a new idea for vibration suppression of rotating machinery.

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Lakshmanaprabu, S. K., and U. Sabura Banu. "Multiobjective Optimization of Multiloop Fractional Order PID Controller Tuned Using Bat Algorithm for Two Interacting Conical Tank Process." Applied Mechanics and Materials 704 (December 2014): 373–79. http://dx.doi.org/10.4028/www.scientific.net/amm.704.373.

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Multiloop fractional order PID controller is tuned using Bat algorithm for two interacting conical tank process. Two interacting conical tank process is modelled using mass balance equations. Two Interacting Conical Tank process is a complex system involving tedious interaction. Straight forward multiloop PID controller design involves various steps to design the controller. Due to easy implementation and quick convergence, Bat algorithm is used in recent past for solving continuous non-linear optimization problems to achieve global optimal solution. Bat algorithm, a swarm intelligence technique will be attempted to tune the multiloop fractional order PID controller for two interacting conical tank process. The multi objective optimized multiloop fractional PID controller is tested for tracking, disturbance rejection for minimum Integral time absolute error.

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S. Sánchez, Allan G., Josué Soto-Vega, Esteban Tlelo-Cuautle, and Martín Antonio Rodríguez-Licea. "Fractional-Order Approximation of PID Controller for Buck–Boost Converters." Micromachines 12, no. 6 (May 21, 2021): 591. http://dx.doi.org/10.3390/mi12060591.

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Viability of a fractional-order proportional–integral–derivative (PID) approximation to regulate voltage in buck–boost converters is investigated. The converter applications range not only to high-power ones but also in micro/nano-scale systems from biomedicine for energy management/harvesting. Using a classic closed-loop control diagram the controller effectiveness is determined. Fractional calculus is considered due to its ability at modeling different types of systems accurately. The non-integer approach is integrated into the control strategy through a Laplacian operator biquadratic approximation to generate a flat phase curve in the system closed-loop frequency response. The controller synthesis considers both robustness and closed-loop performance to ensure a fast and stable regulation characteristic. A simple tuning method provides the appropriate gains to meet design requirements. The superiority of proposed approach, determined by comparing the obtained time constants with those from typical PID controllers, confirms it as alternative to controller non-minimum phases systems. Experimental realization of the resulting controller, implemented through resistor–capacitor (RC) circuits and operational amplifiers (OPAMPs) in adder configuration, confirms its effectiveness and viability.

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Al-Dhaifallah, M., N. Kanagaraj, and K. S. Nisar. "Fuzzy Fractional-Order PID Controller for Fractional Model of Pneumatic Pressure System." Mathematical Problems in Engineering 2018 (2018): 1–9. http://dx.doi.org/10.1155/2018/5478781.

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This article presents a fuzzy fractional-order PID (FFOPID) controller scheme for a pneumatic pressure regulating system. The industrial pneumatic pressure systems are having strong dynamic and nonlinearity characteristics; further, these systems come across frequent load variations and external disturbances. Hence, for the smooth and trouble-free operation of the industrial pressure system, an effective control mechanism could be adopted. The objective of this work is to design an intelligent fuzzy-based fractional-order PID control scheme to ensure a robust performance with respect to load variation and external disturbances. A novel model of a pilot pressure regulating system is developed to validate the effectiveness of the proposed control scheme. Simulation studies are carried out in a delayed nonlinear pressure regulating system under different operating conditions using fractional-order PID (FOPID) controller with fuzzy online gain tuning mechanism. The results demonstrate the usefulness of the proposed strategy and confirm the performance improvement for the pneumatic pressure system. To highlight the advantages of the proposed scheme a comparative study with conventional PID and FOPID control schemes is made.

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Hasan, Fadhil A., and Lina J. Rashad. "Fractional-order PID controller for permanent magnet DC motor based on PSO algorithm." International Journal of Power Electronics and Drive Systems (IJPEDS) 10, no. 4 (December 1, 2019): 1724. http://dx.doi.org/10.11591/ijpeds.v10.i4.pp1724-1733.

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<span>This paper proposes the fractional-order proportional integral derivative (FOPID) controller, as a speed controller for permanent magnet direct current (PMDC) motor, instead of the traditional integer-order PID controller. The FOPID controller is the general form of the integer-order PID controllers, which found wide applications in all engineering fields. In this work a hybrid M-file and SIMULINK program is developed to simulate the overall system, the FOPID controller has five associated parameters. The optimum values of those parameters are found out by using particle swarm optimization technique. Simulation results show excellent command speeds tracking and superior dynamic response in conjunction with that of the integer-order PID controller. The proposed controller shows a high ability to overcome any external disturbance the system may be exposed; also, it performs a high degree of robustness to control the system in motoring and regenerative operating modes.</span>

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Gomaa Haroun, A. H., and Yin-Ya Li. "Ant Lion Optimized Fractional Order Fuzzy Pre-Compensated Intelligent Pid Controller for Frequency Stabilization of Interconnected Multi-Area Power Systems." Applied System Innovation 2, no. 2 (May 15, 2019): 17. http://dx.doi.org/10.3390/asi2020017.

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Load frequency control (LFC) is considered to be the most important strategy in interconnected multi-area power systems for satisfactory operation and distribution. In order to transfer reliable power with acceptable quality, an LFC mechanism requires highly efficacy and intelligent techniques. In this paper, a novel hybrid fractional order fuzzy pre-compensated intelligent proportional-integral-derivative (PID) (FOFP-iPID) controller is proposed for the LFC of a realistic interconnected two-area power system. The proposed FOFP-iPID controller is incorporated into the power system as a secondary controller. In doing so, the parameters of the suggested FOFP-iPID controller are optimized using a more recent evolutionary computational technique called the Ant lion optimizer (ALO) algorithm utilizing an Integral of Time multiplied Absolute Error (ITAE) index. Simulation results demonstrated that the proposed FOFP-iPID controller achieves better dynamics performance under a wide variation of load perturbations. The supremacy of the proposed FOFP-iPID controller is demonstrated by comparing the results with some existing controllers, such as fractional order PID (FOPID) and fractional order intelligent PID (FOiPID) controllers for the identical system. Finally, the sensitivity analysis of the plant is examined and the simulation results showed that the suggested FOFP-iPID controller is robust and performs satisfactorily despite the presence of uncertainties.

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Wu, Xin, Yanhe Xu, Jie Liu, Cong Lv, Jianzhong Zhou, and Qing Zhang. "Characteristics Analysis and Fuzzy Fractional-Order PID Parameter Optimization for Primary Frequency Modulation of a Pumped Storage Unit Based on a Multi-Objective Gravitational Search Algorithm." Energies 13, no. 1 (December 26, 2019): 137. http://dx.doi.org/10.3390/en13010137.

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Compared with conventional hydropower units, the pumped storage unit has the characteristics of diverse working conditions and frequent switching. Therefore, the stability and regulation quality of the primary frequency modulation transition process of the regulating system is very important. Due to the “S” characteristics of the pumped storage unit (PSU), the pumped storage unit regulating system has a strong nonlinearity, and the conventional proportional-integral-derivative (PID) controller cannot provide high-quality control under low water head conditions. In this paper, the nonlinear PSU model with an elastic water hammer effect is studied, and the fuzzy fractional-order PID (FFOPID) controller is designed to improve the stability of the system. The membership function and the control parameters of the fractional-order PID are optimized based on the multi-objective gravitational search algorithm (MOGSA). The experimental results show that the optimized design of the FFOPID controller has better control quality than the traditional PID controller, the fractional-order PID (FOPID) controller, and the fuzzy PID controller (FPID) when the system is disturbed by the rotating speed under low water head.

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Mystkowski, Arkadiusz, and Argyrios Zolotas. "PLC-based discrete fractional-order control design for an industrial-oriented water tank volume system with input delay." Fractional Calculus and Applied Analysis 21, no. 4 (August 28, 2018): 1005–26. http://dx.doi.org/10.1515/fca-2018-0055.

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Abstract We present PLC-based fractional-order controller design for an industrial-oriented water tank volume control application. The system comprises input delay which is a typified characteristic in such industrial process control applications. The particular contribution of this work is on discrete fractional-order PID implementation via PLC and its application to the aforementioned realistic water tank test bed. Stability and robustness properties of fractional-order discrete PID feedback-loops for different approximation methods and orders are also shown. Fractional-order controllers are obtained for a variety of stability margin choices, and benefits of the non-integer-order controllers compared to the integer-order PID control are illustrated via simulation and experimental runs on a realistic test-bed.

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Mukherjee, Deep, Palash Kumar Kundu, and Apurba Ghosh. "A performance analysis of fractional order based MARC controller over optimal fractional order PID controller on inverted pendulum." International Journal of Engineering & Technology 7, no. 2.21 (April 20, 2018): 29. http://dx.doi.org/10.14419/ijet.v7i2.21.11830.

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This paper presents a new way to design MIT rule as an advanced technique of MARC (Model Adaptive Reference Controller) for an integer order inverted pendulum system. Here, our work aims to study the performance characteristics of fractional order MIT rule of MARC controller followed by optimal fractional order PID controller in MATLAB SIMULINK environment with respect to time domain specifications. Here, to design fractional order MIT rule Grunwald-Letnikov fractional derivative calculus method has been considered and based on Grunwald-Letnikov fractional calculus rule fractional MIT rule has been designed in SIMULINK. The proposed method aims finally to analyze overall desired closed loop dynamic performance on inverted pendulum with different performance criteria and to show the desired nature of an unstable system over optimal fractional order PID controller.

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Saribas, Hasan, and Sinem Kahvecioglu. "PSO and GA tuned conventional and fractional order PID controllers for quadrotor control." Aircraft Engineering and Aerospace Technology 93, no. 7 (August 17, 2021): 1243–53. http://dx.doi.org/10.1108/aeat-08-2020-0185.

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Purpose This study aims to compare the performance of the conventional and fractional order proportional-integral-derivative (PID and FOPID) controllers tuned with a particle swarm optimization (PSO) and genetic algorithm (GA) for quadrotor control. Design/methodology/approach In this study, the gains of the controllers were tuned using PSO and GA, which are included in the heuristic optimization methods. The tuning processes of the controller’s gains were formulated as optimization problems. While generating the objective functions (cost functions), four different decision criteria were considered separately: integrated summation error (ISE), integrated absolute error, integrated time absolute error and integrated time summation error (ITSE). Findings According to the simulation results and comparison tables that were created, FOPID controllers tuned with PSO performed better performances than PID controllers. In addition, the ITSE criterion returned better results in control of all axes except for altitude control when compared to the other cost functions. In the control of altitude with the PID controller, the ISE criterion showed better performance. Originality/value While a conventional PID controller has three parameters (Kp, Ki, Kd) that need to be tuned, FOPID controllers have two additional parameters (µ). The inclusion of these two extra parameters means more flexibility in the controller design but much more complexity for parameter tuning. This study reveals the potential and effectiveness of PSO and GA in tuning the controller despite the increased number of parameters and complexity.

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42

Kanagaraj, N., and Vishwa Nath Jha. "Design of an enhanced fractional order PID controller for a class of second-order system." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 40, no. 3 (June 8, 2021): 579–92. http://dx.doi.org/10.1108/compel-08-2020-0267.

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Purpose This paper aims to design a modified fractional order proportional integral derivative (PID) (FO[PI]λDµ) controller based on the principle of fractional calculus and investigate its performance for a class of a second-order plant model under different operating conditions. The effectiveness of the proposed controller is compared with the classical controllers. Design/methodology/approach The fractional factor related to the integral term of the standard FO[PI]λDµ controller is applied as a common fractional factor term for the proportional plus integral coefficients in the proposed controller structure. The controller design is developed using the regular closed-loop system design specifications such as gain crossover frequency, phase margin, robustness to gain change and two more specifications, namely, noise reduction and disturbance elimination functions. Findings The study results of the designed controller using matrix laboratory software are analyzed and compared with an integer order PID and a classical FOPIλDµ controller, the proposed FO[PI]λDµ controller exhibit a high degree of performance in terms of settling time, fast response and no overshoot. Originality/value This paper proposes a methodology for the FO[PI]λDµ controller design for a second-order plant model using the closed-loop system design specifications. The effectiveness of the proposed control scheme is demonstrated under different operating conditions such as external load disturbances and input parameter change.

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Mystkowski, Arkadiusz, and Andrzej Kierdelewicz. "Fractional-Order Water Level Control Based on PLC: Hardware-In-The-Loop Simulation and Experimental Validation." Energies 11, no. 11 (October 26, 2018): 2928. http://dx.doi.org/10.3390/en11112928.

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An industrial-oriented water tank level control system with PLC- and Simulink-based fractional-order controller realizations is presented. The discrete fractional-order and integer-order PID implementations are realized via the PLC and Simulink simulator. The benefits of the fractional-order PID compared to the integer-order PID control are confirmed by the hardware-in-the-loop (HIL) simulations and experiments. HIL simulations are realized using real-time communication between PLC and Simulink. The fractional-order controller is obtained for a desired phase/gain margin and validated via HIL simulations and experimental measurements.

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ZENNIR, Youcef, El-Arkam MECHHOUD, Ahcene SEBOUI, and Riad BENDIB. "Optimal PSO- PIλDμ Multi -Controller for a Robotic Wrist." Algerian Journal of Signals and Systems 3, no. 1 (March 15, 2018): 22–34. http://dx.doi.org/10.51485/ajss.v3i1.56.

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Comparative study between to approach of control based in conventional PID controller and robust Fractional PID controller (FOPID) using PSO algorithm applied to control robotics wrist (Robot RX-90 Staübli). The mathematic model of robot are described follows by design of architecture control. two approximation method of fractional order are used and finally a different simulation study comparative between (PID, PSO-PID, FOPID and PSO-FOPID) with obtained results has been presented discussed and approved the efficiently of the architecture control with PSO-FOPID controller followed by a conclusion and some perspectives for future work.

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Liu, Lu, Feng Pan, and Dingyu Xue. "Fractional-Order Controller Design for Oscillatory Fractional Time-Delay Systems Based on the Numerical Inverse Laplace Transform Algorithms." Mathematical Problems in Engineering 2015 (2015): 1–10. http://dx.doi.org/10.1155/2015/917382.

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Fractional-order time-delay system is thought to be a kind of oscillatory complex system which could not be controlled efficaciously so far because it does not have an analytical solution when using inverse Laplace transform. In this paper, a type of fractional-order controller based on numerical inverse Laplace transform algorithm INVLAP was proposed for the mentioned systems by searching for the optimal controller parameters with the objective function of ITAE index due to the verified nature that fractional-order controllers were the best means of controlling fractional-order systems. Simulations of step unit tracking and load-disturbance responses of the proposed fractional-order optimalPIλDμcontroller (FOPID) and corresponding conventional optimal PID (OPID) controller have been done on three typical kinds of fractional time-delay system with different ratio between time delay (L) and time constant (T) and a complex high-order fractional time delay system to verify the availability of the presented control method.

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Gao, Zhe. "A Tuning Method via Borges Derivative of a Neural Network-Based Discrete-Time Fractional-Order PID Controller with Hausdorff Difference and Hausdorff Sum." Fractal and Fractional 5, no. 1 (March 14, 2021): 23. http://dx.doi.org/10.3390/fractalfract5010023.

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In this paper, the fractal derivative is introduced into a neural network-based discrete-time fractional-order PID controller in two areas, namely, in the controller’s structure and in the parameter optimization algorithm. The first use of the fractal derivative is to reconstruct the fractional-order PID controller by using the Hausdorff difference and Hausdorff sum derived from the Hausdorff derivative and Hausdorff integral. It can avoid the derivation of the Gamma function for the order updating to realize the parameter and order tuning based on neural networks. The other use is the optimization of order and parameters by using Borges derivative. Borges derivative is a kind of fractal derivative as a local fractional-order derivative. The chain rule of composite function is consistent with the integral-order derivative. It is suitable for updating the parameters and the order of the fractional-order PID controller based on neural networks. This paper improves the neural network-based PID controller in two aspects, which accelerates the response speed and improves the control accuracy. Two illustrative examples are given to verify the effectiveness of the proposed neural network-based discrete-time fractional-order PID control scheme with fractal derivatives.

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Shao, Jun Peng, Ling Zhang, Zhao Hui Jin, and Xiao Dong Yang. "Fractional Order PID Control of Railway Rescue Crane Leveling System." Key Engineering Materials 620 (August 2014): 449–55. http://dx.doi.org/10.4028/www.scientific.net/kem.620.449.

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Aiming at the overshoot problem of electro-hydraulic position servo system used in the process of railway rescue crane hydraulic automatic leveling, and based on its characteristics such as big output power, high control accuracy, quick response speed, et al, this paper established the linear mathematical model of railway rescue crane electro-hydraulic automatic leveling system, besides, the fractional order PID control method was proposed based on the oustaloup digital filter algorithm and the working principle of fractional order PID control method was given, and then the fractional order PID controller was designed. In order to verify the effectiveness of the proposed control strategy, the MATLAB/Simulink simulation software was used. The simulation results show that the fractional order PID controller improved the speed of electro-hydraulic servo system unit step response and the capacity of resisting disturbance compared to traditional integer order PID controller, besides it can ensure the response without overshoot at the same time, so it meets the requirements for rapidity and no overshoot of railway rescue crane hydraulic automatic leveling system very well.

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Anil Kumar, Vemula, and Arounassalame Mouttou. "Improved performance with fractional order control for asymmetrical cascaded H-bridge multilevel inverter." Bulletin of Electrical Engineering and Informatics 9, no. 4 (August 1, 2020): 1335–44. http://dx.doi.org/10.11591/eei.v9i4.1885.

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This paper proposes a control scheme for seven level asymmetrical cascaded H-bridge multi level inverter (ACHBMLI) based on fractional order calculus. The seven level ACHBMLI consists of two H-bridges that are connected in series and are excited by different dc voltage sources. A simplified model is developed by assuming the small signal variation component is equal in both the H-bridges. A fractional order PID (FO-PID) controller is designed for the ACHBMLI using the simplified model. Simulation study shows the adequacy of FO-PID controller in giving an output voltage with minimum distortions. A conventional PID controller is also designed for ACHBMLI using the same simplified model. The performance of the ACHBMLI with FO-PID controller is compared with the performance of ACHBMLI with conventional PID controller. The simulation results prove the superiority of FO-PID controller in maintaining the output voltage of the ACHBMLI close to the reference voltage and in reducing the harmonic distortion of output voltage of the inverter. The simulation was done using MATLAB and the parameters of FO-PID controller was designed using FOMCON tool box.

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Chekari, Tassadit, Rachid Mansouri, and Maamar Bettayeb. "Real-time application of IMC-PID-FO multi-loop controllers on the coupled tanks process." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 235, no. 8 (January 24, 2021): 1542–52. http://dx.doi.org/10.1177/0959651820983062.

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The coupled tanks process is a two input-two output system. It presents a nonlinear behavior and interactions characteristic. After the nonlinear model is obtained, it is linearized around an operating point. A fractional-order proportional–integral–derivative based on the internal model control paradigm (1DOF-IMC-PID-FO) multi-loop controller is determined without considering the interactions, and a fractional-order proportional–integral–derivative based on the 2-degree-of-freedom internal model control structure (2DOF-IMC-PID-FO) multi-loop controller is determined by considering the interactions. Thus, an interactions reduction effect controller is calculated. Both controllers are implemented on a real-time process using the Real Time Windows Target of MATLAB. The objective of the control is to maintain the water level in the lower tanks at desired values. In the experiment, setpoint tracking and disturbance rejection tests are carried out to assess the performance of both 1DOF and 2DOF-IMC-PID-FO multi-loop controllers.

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Do, Tri Cuong, Duc Thien Tran, Truong Quang Dinh, and Kyoung Kwan Ahn. "Tracking Control for an Electro-Hydraulic Rotary Actuator Using Fractional Order Fuzzy PID Controller." Electronics 9, no. 6 (June 2, 2020): 926. http://dx.doi.org/10.3390/electronics9060926.

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This paper presents a strategy for a fractional order fuzzy proportional integral derivative controller (FOFPID) controller for trajectory-tracking control of an electro-hydraulic rotary actuator (EHRA) under variant working requirements. The proposed controller is based on a combination of a fractional order PID (FOPID) controller and a fuzzy logic system. In detail, the FOPID with extension from the integer order to non-integer order of integral and derivative functions helps to improve tracking, robustness and stability of the control system. A fuzzy logic control system is designed to adjust the FOPID parameters according to time-variant working conditions. To evaluate the proposed controller, co-simulations (using AMESim and MATLAB) and real-time experiments have been conducted. The results show the effectiveness of the proposed approach compared to other typical controllers.

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Journal articles on the topic 'Fractional PID controller'

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