Academic literature on the topic 'First order plus time delay (FOPTD) model'

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Journal articles on the topic "First order plus time delay (FOPTD) model"

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Yoo, C. K., J. H. Cho, H. J. Kwak, S. K. Choi, H. D. Chun, and I. Lee. "Closed-loop identification and control application for dissolved oxygen concentration in a full-scale coke wastewater treatment plant." Water Science and Technology 43, no. 7 (2001): 207–14. http://dx.doi.org/10.2166/wst.2001.0426.

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The objective of this paper is to apply a closed-loop identification to actual dissolved oxygen control system in the coke wastewater treatment plant. It approximates the dissolved oxygen dynamics to a high order model using the integral transform method and reduces it to the first-order plus time delay (FOPTD) or second-order plus time delay (SOPTD) for the PID controller tuning. To experiment the process identification on the real plant, a simple set-point change of the speed of surface aerator under the closed-loop control without any mode change was used as an activation signal of the identification. The full-scale experimental results show a good identification performance and a good tracking ability for set-point change. As a result of improved control performance, the fluctuation of dissolved oxygen concentration variation has been decreased and the electric power saving has been accomplished.
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Seban, Lalu, Namita Boruah, and Binoy K. Roy. "Development of FOPDT and SOPDT model from arbitrary process identification data using the properties of orthonormal basis function." International Journal of Engineering & Technology 7, no. 2.21 (2018): 77. http://dx.doi.org/10.14419/ijet.v7i2.21.11840.

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Most of industrial process can be approximately represented as first-order plus delay time (FOPDT) model or second-order plus delay time (FOPDT) model. From a control point of view, it is important to estimate the FOPDT or SOPDT model parameters from arbitrary process input as groomed test like step test is not always feasible. Orthonormal basis function (OBF) are class of model structure having many advantages, and its parameters can be estimated from arbitrary input data. The OBF model filters are functions of poles and hence accuracy of the model depends on the accuracy of the poles. In this paper, a simple and standard particle swarm optimisation technique is first employed to estimate the dominant discrete poles from arbitrary input and corresponding process output. Time constant of first order system or period of oscillation and damping ratio of second order system is calculated from the dominant poles. From the step response of the developed OBF model, time delay and steady state gain are estimated. The parameter accuracy is improved by employing an iterative scheme. Numerical examples are provided to show the accuracy of the proposed method.
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Wang, Runzhi, Xuemin Li, Yufei Liu, Wenjie Fu, Shuang Liu, and Xiuzhen Ma. "Multiple Model Predictive Functional Control for Marine Diesel Engine." Mathematical Problems in Engineering 2018 (2018): 1–20. http://dx.doi.org/10.1155/2018/3252653.

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A novel control scheme based on multiple model predictive functional control (MMPFC) is proposed to solve the cumbersome and time-consuming parameters tuning of the speed controller for a marine diesel engine. It combines the MMPFC with traditional PID algorithm. In each local linearization, a first-order plus time delay (FOPTD) model is adopted to be the approximate submodel. To overcome the model mismatches under the load disturbance conditions, we introduce a method to estimate the open-loop gain of the speed control model, by which the predictive multimodels are modified online. Thus, the adaptation and robustness of the proposed controller can be improved. A cycle-detailed hybrid nonlinear engine model rather than a common used mean value engine model (MVEM) is developed to evaluate the control performance. In such model, the marine engine is treated as a whole system, and the discreteness in torque generation, the working imbalance among different cylinders, and the cycle delays are considered. As a result, more reliable and practical validation can be achieved. Finally, numerical simulation of both steady and dynamic performances of the proposed controller is carried out based on the aforementioned engine model. A conventional well-tuned PID with integral windup scheme is adopted to make a comparison. The results emphasize that the proposed controller is with stable and adaptive ability but without needing complex and tough parameters regulation. Moreover, it has excellent disturbance rejection ability by modifying the predictive multimodels online.
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Muresan, Cristina I., and Clara M. Ionescu. "Generalization of the FOPDT Model for Identification and Control Purposes." Processes 8, no. 6 (2020): 682. http://dx.doi.org/10.3390/pr8060682.

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This paper proposes a theoretical framework for generalization of the well established first order plus dead time (FOPDT) model for linear systems. The FOPDT model has been broadly used in practice to capture essential dynamic response of real life processes for the purpose of control design systems. Recently, the model has been revisited towards a generalization of its orders, i.e., non-integer Laplace order and fractional order delay. This paper investigates the stability margins as they vary with each generalization step. The relevance of this generalization has great implications in both the identification of dynamic processes as well as in the controller parameter design of dynamic feedback closed loops. The discussion section addresses in detail each of this aspect and points the reader towards the potential unlocked by this contribution.
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Muresan, Cristina I., Isabela R. Birs, and Eva H. Dulf. "Event-Based Implementation of Fractional Order IMC Controllers for Simple FOPDT Processes." Mathematics 8, no. 8 (2020): 1378. http://dx.doi.org/10.3390/math8081378.

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Fractional order calculus has been used to generalize various types of controllers, including internal model controllers (IMC). The focus of this manuscript is towards fractional order IMCs for first order plus dead-time (FOPDT) processes, including delay and lag dominant ones. The design is novel at it is based on a new approximation approach, the non-rational transfer function method. This allows for a more accurate approximation of the process dead-time and ensures an improved closed loop response. The main problem with fractional order controllers is concerned with their implementation as higher order transfer functions. In cases where central processing unit CPU, bandwidth allocation, and energy usage are limited, resources need to be efficiently managed. This can be achieved using an event-based implementation. The novelty of this paper resides in such an event-based algorithm for fractional order IMC (FO-IMC) controllers. Numerical results are provided for lag and delay dominant FOPDT processes. For comparison purposes, an integer order PI controller, tuned according to the same performance specifications as the FO-IMC, is also implemented as an event-based control strategy. The numerical results show that the proposed event-based implementation for the FO-IMC controller is suitable and provides for a smaller computational effort, thus being more suitable in various industrial applications.
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Tan, Gong Quan, Yong Hui Chen, and Shu Chuan Gan. "PID Controller Design Based on Modified IMC and Optimal Robust Performance Based on Applied Mechanics." Advanced Materials Research 485 (February 2012): 114–18. http://dx.doi.org/10.4028/www.scientific.net/amr.485.114.

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In this work, PID design with acceptable performance and robustness of closed-loop system was introduced. With the normalized time constant of internal model control (IMC) replaced by a damping ratio and a new time constant, a modified IMC was proposed and could be equivalent to a proportional integral derivative (PID) control. Since the control systems always have a dilemma between performance and robustness, the robust performance index was created with the integral of absolute error (IAE) weighted by the maximum sensitivity (Ms) with an exponential factor and the PID parameters were optimized through it. As an example, an empirical weighted factor 1.5 was selected to obtain the self-tuning PID formula for first-order plus delay time (FOPDT) processes. Simulation results show that the proposed PID control achieves good closed-loop performance and robustness.
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Rao, A. Seshagiri, V. S. R. Rao, and M. Chidambaram. "Simple Analytical Design of Modified Smith Predictor with Improved Performance for Unstable First-Order Plus Time Delay (FOPTD) Processes." Industrial & Engineering Chemistry Research 46, no. 13 (2007): 4561–71. http://dx.doi.org/10.1021/ie061308n.

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Lee, Jietae, Wonhui Cho, and Thomas F. Edgar. "Control system design based on a nonlinear first-order plus time delay model." Journal of Process Control 7, no. 1 (1997): 65–73. http://dx.doi.org/10.1016/s0959-1524(96)00014-5.

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Zhang, Quan Ling. "Multivariable Predictive Functional Control for the First-Order Plus Time-Delay System." Advanced Materials Research 282-283 (July 2011): 32–37. http://dx.doi.org/10.4028/www.scientific.net/amr.282-283.32.

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A multivariable predictive functional control (M-PFC) algorithm based on a two-inputs/two-outputs system with the transfer function model is presented in this paper. A simple and explicit solution of manipulated variables of the control system can be obtained by optimizing the objective function. Simulations of the system applying M-PFC are also provided in here, showing that the presented algorithm has good performance of tracking set-point without steady-state error, disturbance rejection and robustness. Finally, the application of temperature control for the methylamine synthesizing tower is addressed, demonstrating the effectiveness of the proposed PFC algorithm.
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Ibn Taarit, Kaouther, and Mekki Ksouri. "Algebraic identification of a stable first‐order plus time delay model from step response." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 31, no. 6 (2012): 1558–74. http://dx.doi.org/10.1108/03321641211266994.

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Dissertations / Theses on the topic "First order plus time delay (FOPTD) model"

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Amiri, Mohammad Sadegh. "Robustness versus performance tradeoffs in PID tuning." Master's thesis, 2009. http://hdl.handle.net/10048/647.

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Thesis (M. Sc.)--University of Alberta, 2009.<br>Title from pdf file main screen (viewed on Dec. 10, 2009). "A thesis submitted to the Faculty of Graduate Studies and Research in partial fulfillment of the requirements for the degree of Master of Science in Chemical Engineering, Department of Chemical and Materials Engineering, University of Alberta." Includes bibliographical references.
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Conference papers on the topic "First order plus time delay (FOPTD) model"

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Wu, Zhenlong, Jie Yuan, Donghai Li, Yali Xue, and YangQuan Chen. "Actuator Rate Limit Effects on Proportional-Integral Controller for First-Order Plus Time-Delay Systems." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97662.

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Abstract Actuator rate limit deteriorates control performance with amplitude attenuation and phase delay, and may lead to system instability in process control. In this paper, great challenges for first-order plus time delay (FOPTD) systems are concerned. Based on the preliminary knowledge of the definition of rate limiter, the concept of closed-loop onset frequency with rate limiter and classic proportional-integral (PI) tuning rules, the rate limit effects on PI controller are analyzed by simulations. The results show that the rate limiter has significant influence on the stability regions of PI parameters which can be reduced greatly. Besides, PI tuning rules with the same robustness constraint can be obviously effected where Skogestad internal model (SIMC) tuning rule is more robust to the rate limit variation than that of maximize the integral gain (Åström) and robustness constrained optimization (DRO) tuning rule. These results can offer a guideline to tune PI parameters when actuators have non-ignorable rate limit for industrial applications.
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Bhaskaran, Tripti, YangQuan Chen, and Dingyu Xue. "Practical Tuning of Fractional Order Proportional and Integral Controller (I): Tuning Rule Development." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34302.

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This paper presents a new practical tuning method for fractional order proportional and integral controller (FO-PI). The plant to be controlled is mainly FOPDT (first order plus delay time). The tuning is optimum in the sense that the load disturbance rejection is optimized yet with a constraint on the maximum or peak sensitivity. We generalized MIGO (Ms constrained integral gain optimization) based controller tuning method to handle the FO-PI case, called F-MIGO, given the fractional order α. The F-MIGO method is then used to develop tuning rules for the FOPDT class of dynamic systems. The final developed tuning rules only applies the relative dead time, τ of the FOPDT model to determine the best fractional order α and at the same time to determine the best FO-PI gains. Extensive simulation results are included to illustrate the simple yet practical nature of the developed new tuning rules. In Part (II) of this companion paper, interesting experimental results in two experimental platforms are reported using the tuning rule of this paper. The tuning rule development procedure for FO-PI is not only valid for FOPDT but also applicable for other general class of plants as illustrated.
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Wang, ChunYang, Ying Luo, and YangQuan Chen. "Fractional order proportional integral (FOPI) and [proportional integral] (FO[PI]) controller designs for first order plus time delay (FOPTD) systems." In 2009 Chinese Control and Decision Conference (CCDC). IEEE, 2009. http://dx.doi.org/10.1109/ccdc.2009.5195105.

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Tsai, Alex, David Tucker, and Craig Groves. "Improved Controller Performance of Selected Hybrid SOFC-GT Plant Signals Based on Practical Control Schemes." In ASME Turbo Expo 2010: Power for Land, Sea, and Air. ASMEDC, 2010. http://dx.doi.org/10.1115/gt2010-22470.

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This paper compares and demonstrates the efficacy of implementing two practical Single Input Single Output (SISO) multi-loop control schemes on the dynamic performance of selected signals of a Solid Oxide Fuel Cell Gas Turbine (SOFC-GT) hybrid simulation facility. The hybrid plant, located at the U.S. Department of Energy National Energy Technology Laboratory (NETL) in Morgantown WV, is capable of simulating the interaction between a 350kW SOFC and a 120kW GT using a Hardware-in-the-Loop (HIL) configuration. Previous studies have shown that the thermal management of coal based SOFC-GT hybrid systems is accomplished by the careful control of the cathode air stream within the fuel cell (FC). A decoupled centralized and dynamic de-centralized control scheme is tested for one critical airflow bypass loop to regulate cathode FC airflow and modulation of turbine electric load to maintain synchronous turbine speed during system transients. Improvements to the studied multivariate architectures include: feed-forward (FF) control for disturbance rejection, anti-windup (AW) compensation for actuator saturation, gain scheduling for adaptive operation, bumpless transfer (BT) for manual to auto switching, and adequate filter design for the inclusion of derivative action. Controller gain tuning is accomplished by Skogestad’s Internal Model Control (SIMC) tuning rules derived from empirical First Order Plus Delay Time (FOPDT) Transfer Function {TF} models of the hybrid facility. Avoidance of strong Input-Output (IO) coupling interactions is achieved via Relative Gain Array (RGA), Niederlinski Index (NI), and Decomposed Relative Interaction Analysis (DRIA), following recent methodologies in PID control theory for multivariable processes.
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Gerov, Radmila, and Zoran Jovanovic. "Closed-loop identification of a first-order plus time delay model using Lambert W function." In 2019 IEEE 17th International Symposium on Intelligent Systems and Informatics (SISY). IEEE, 2019. http://dx.doi.org/10.1109/sisy47553.2019.9111578.

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Hamamci, Serdar Ethem, and Serhat Obuz. "Transient Response Control by Fractional-Order PI Controllers." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47444.

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Consideration of the transient response is one of the key topics in control system design for time delay systems. In this paper, an efficient method to control the transient response of the first order plus time delay stable (FOPTD) systems using the fractional-order PI (PIλ) controllers is presented. The main characterization of the method is first to construct the global stability region in the (kp, ki)-plane for any fixed value of λ and then to obtain ts and Mp curves corresponding to special settling time and maximum overshoot values in this region. Finally, by intersection of these curves, the Dλ-stability region in the (kp, ki)-plane is found. Changing the value of λ in the range of (0, 2), a set of Dλ-stability regions is obtained. These regions involve the controller parameters providing the closed loop settling time and maximum overshoot specifications together in the acceptable values. Therefore, the designer can easily decide to the selection of suitable values of kp, ki and λ. The simulation results indicate that the presented transient response control method is effective and practically useful in the analysis and control of the stable FOPTD systems by means of fractional-order PI controllers.
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Eisinberg, A., G. Fedele, and D. Frascino. "An analytic optimization procedure to estimate a first-order plus time delay model from step response." In Automation (MED 2008). IEEE, 2008. http://dx.doi.org/10.1109/med.2008.4602071.

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H. V. Silva, Francisco, Josias G. Batista, José L. N. Silva, Darieslson A. Souza, and Felipe J. S. Vasconcelos. "Identificação e Controle de uma Planta de Nível Utilizando Controlador Lógico Programável." In Congresso Brasileiro de Automática - 2020. sbabra, 2020. http://dx.doi.org/10.48011/asba.v2i1.1022.

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O controle de nível é uma das formas de controle mais comuns na indústria. Existem vários métodos para identificar o modelo da planta, a fim de ser usado em um sistema de malha fechada com o controlador. Este trabalho apresenta a identificação e controle de uma planta de nível utilizando um Controlador Lógico Programável (CLP). A identificação da planta é realizada pelo modelo paramétrico First Order Plus Delay Time (FOPDT), usando os seguintes métodos: Ziegler/Nichols, Hägglund, Smith e Sundaresan/Krishnaswamy. A coleta de dados experimentais do modelo é obtida através da comunicação Modbus entre CLP e sistema supervisório, após isso, os dados são exportados para o Excel para realizar as comparações em malha aberta. O controlador Proporcional-Integral-Derivativo (PID) é aplicado ao sistema e sua sintonia é realizada pelo método de Ziegler/Nichols. Para comparar os resultados experimentais são utilizados os seguintes critérios de desempenho: tempo de subida tr, tempo de acomodação ts e overshoot. Ao final, conclui-se que o método de identificação de Smith obtém os melhores resultados.
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Mhamdi, Abdelbacet, Kaouther Ben Taarit, and Moufida Ksouri. "Comparison between asymptotic and non asymptotic identification techniques of a first-order plus time delay model from step response." In 2014 International Conference on Control, Decision and Information Technologies (CoDIT). IEEE, 2014. http://dx.doi.org/10.1109/codit.2014.6996919.

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Malek, Hadi, Ying Luo, and YangQuan Chen. "Tuning Fractional Order Proportional Integral Controllers for Time Delayed Systems With a Fractional Pole." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47872.

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First order plus time delay model is widely used to model systems with S-shaped reaction curve. Its generalized form is the use of a single fractional pole to replace the first order (single-time constant) model, which is believed to better characterize the reaction curve. Using time delayed system model with a fractional pole as the starting point, in this paper, designing fractional order controllers for this class of fractional order systems is investigated. The novelty of this paper is on designing the integer order PID and fractional order PI and [PI] controllers for these class of systems. The simulation and lab experimental results are both included to illustrate the effectiveness of the proposed tuning method. By comparing the results of PID controller, fractional order PI and [PI] controllers, the advantages of the fractional order controller are clearly demonstrated in the case of controlling the single fractional pole plants with constant time delay.
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