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1

Taniguchi, Tadanari, Luka Eciolaza, and Michio Sugeno. "Full-Order State Observer Design for Nonlinear Systems Based on Piecewise Bilinear Models." International Journal of Modeling and Optimization 4, no. 2 (2014): 120–25. http://dx.doi.org/10.7763/ijmo.2014.v4.358.

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2

Lungu, Mihai, and Romulus Lungu. "Reduced-Order Multiple Observer for Aircraft State Estimation during Landing." Applied Mechanics and Materials 841 (June 2016): 253–59. http://dx.doi.org/10.4028/www.scientific.net/amm.841.253.

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The paper presents a new reduced-order multiple observer which can achieve the finite-time reconstruction of the system’s state associated to a multiple-model. This observer is a combination of a reduced-order observer and a full-order multiple observer. The design of the new observer involves the usage of the Lyapunov theory, the solving of a linear matriceal inequality, and a variables’ change. The steps of the design procedure have been software implemented in order to validate the new reduced-order multiple observer for the case of an aircraft motion during landing.
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3

Salisu, Mohammed, A. Sha'aban Yusuf, J. Umoh Ime, and T. Salawudeen Ahmed. "Optimal design of full order state observer for active surge control in centrifugal compressors using genetic algorithm." TELKOMNIKA (Telecommunication, Computing, Electronics and Control) 20, no. 2 (2022): 405–15. https://doi.org/10.12928/telkomnika.v20i2.17440.

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This paper presents the design of a genetic algorithm (GA) based full order state observer for a compressor system. The observer measures the compressor system parameters and computes the difference between the measured output and the setpoint, which is used as feedback to the active surge controller. The proposed control structure with a GA tuned compressor characteristic is required to minimize system oscillations and energy losses induced by the piston actuation gas recycling technique. The design method for GA based full order observer begins with a state observer modelling, observer error
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4

Hadji, Mohsen Mohamed, and Samir Ladaci. "Full-State Observer Synthesis for a Class of One-Sided Lipschitz Nonlinear Fractional-Order Systems." WSEAS TRANSACTIONS ON SYSTEMS AND CONTROL 19 (January 27, 2025): 379–84. https://doi.org/10.37394/23203.2024.19.41.

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A full-order observer design for a large class of fractional-order continuous-time nonlinear systems that satisfies the one-sided Lipschitz and quadratic inner boundedness conditions problem is addressed. By employing the fractional-order extension of the Lyapunov direct approach, a sufficient condition for the existence of the proposed observer is established in the form of a Nonlinear Matrix Inequality (NMI), guaranteeing the asymptotic convergence of the observation error to the origin. The effectiveness and distinct advantages of the proposed design are validated through numerical simulati
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5

Tasya, Y. Christnantasari. "STATE OBSERVER DESIGNS FOR QUARTER-CAR PASSIVE SUSPENSION." International Journal of Chaos, Control, Modelling and Simulation (IJCCMS) 09, no. 1/2/3 (2023): 12. https://doi.org/10.5281/zenodo.7759422.

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This paper presents state observer designs for quarter-car passive suspension. Proposed designs correspond to two theories, full-order state observer and observer on closed-loop system. Those observers are used for states and estimation errors observation. Simulation is done using MATLAB and SIMULINK. MATLAB is used to calculate both feedback gain matrix and observer gain matrix whereas SIMULINK is applied to build state space block. Results show that those observers work effectively and fit observer theories. This work may motivate to continue to other steps of observer designs, observer desi
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6

Tasya, Y. Christnantasari. "STATE OBSERVER DESIGNS FOR QUARTER-CAR PASSIVE SUSPENSION." STATE OBSERVER DESIGNS FOR QUARTER-CAR PASSIVE SUSPENSION 9, no. 1/2/3 (2020): 01–12. https://doi.org/10.5281/zenodo.6273230.

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This paper presents state observer designs for quarter-car passive suspension. Proposed designs correspond to two theories, full-order state observer and observer on closed-loop system. Those observers are used for states and estimation errors observation. Simulation is done using MATLAB and SIMULINK. MATLAB is used to calculate both feedback gain matrix and observer gain matrix whereas SIMULINK is applied to build state space block. Results show that those observers work effectively and fit observer theories. This work may motivate to continue to other steps of observer designs, observer desi
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7

Tasya, Y. Christnantasari. "STATE OBSERVER DESIGNS FOR QUARTER-CAR PASSIVE SUSPENSION." International Journal of Chaos, Control, Modelling and Simulation (IJCCMS) 09, no. 1/2/3 (2023): 12. https://doi.org/10.5281/zenodo.7891011.

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This paper presents state observer designs for quarter-car passive suspension. Proposed designs correspond to two theories, full-order state observer and observer on closed-loop system. Those observers are used for states and estimation errors observation. Simulation is done using MATLAB and SIMULINK. MATLAB is used to calculate both feedback gain matrix and observer gain matrix whereas SIMULINK is applied to build state space block. Results show that those observers work effectively and fit observer theories. This work may motivate to continue to other steps of observer designs, observer desi
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8

Tasya, Y. Christnantasari. "STATE OBSERVER DESIGNS FOR QUARTER-CAR PASSIVE SUSPENSION." International Journal of Chaos, Control, Modelling and Simulation (IJCCMS) 09, no. 1/2/3 (2023): 12. https://doi.org/10.5281/zenodo.7990921.

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This paper presents state observer designs for quarter-car passive suspension. Proposed designs correspond to two theories, full-order state observer and observer on closed-loop system. Those observers are used for states and estimation errors observation. Simulation is done using MATLAB and SIMULINK. MATLAB is used to calculate both feedback gain matrix and observer gain matrix whereas SIMULINK is applied to build state space block. Results show that those observers work effectively and fit observer theories. This work may motivate to continue to other steps of observer designs, observer desi
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9

Tasya, Y. Christnantasari. "STATE OBSERVER DESIGNS FOR QUARTER-CAR PASSIVE SUSPENSION." International Journal of Chaos, Control, Modelling and Simulation (IJCCMS) 09, no. 1/2/3 (2023): 12. https://doi.org/10.5281/zenodo.8037607.

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This paper presents state observer designs for quarter-car passive suspension. Proposed designs correspond to two theories, full-order state observer and observer on closed-loop system. Those observers are used for states and estimation errors observation. Simulation is done using MATLAB and SIMULINK. MATLAB is used to calculate both feedback gain matrix and observer gain matrix whereas SIMULINK is applied to build state space block. Results show that those observers work effectively and fit observer theories. This work may motivate to continue to other steps of observer designs, observer desi
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10

Tasya. "STATE OBSERVER DESIGNS FOR QUARTER-CAR PASSIVE SUSPENSION." International Journal of Chaos, Control, Modelling and Simulation (IJCCMS) 09, no. 1/2/3 (2023): 12. https://doi.org/10.5281/zenodo.8063988.

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This paper presents state observer designs for quarter-car passive suspension. Proposed designs correspond to two theories, full-order state observer and observer on closed-loop system. Those observers are used for states and estimation errors observation. Simulation is done using MATLAB and SIMULINK. MATLAB is used to calculate both feedback gain matrix and observer gain matrix whereas SIMULINK is applied to build state space block. Results show that those observers work effectively and fit observer theories. This work may motivate to continue to other steps of observer designs, observer desi
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11

Granados-Salazar, Christian, Gerardo Espinosa-Pérez, and Michael Rojas. "Observer Design for a Lorenz Oscillator." Memorias del Congreso Nacional de Control Automático 6, no. 1 (2023): 491–96. http://dx.doi.org/10.58571/cnca.amca.2023.062.

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This article addresses the design problem of observers for the oscillator, focusing on the nonlinearities present in the model, which arise from the product between components of the state vector. These nonlinearities are particularly interesting because they allow obtaining an error dynamics that can be used to study the convergence properties of the observation scheme. In this sense, the design of a full-order observer is proposed, which is characterized by being a replica of the original system, with the addition of a correction term. Additionally, a numerical evaluation of the presented re
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12

Hac´, A. "Design of Disturbance Decoupled Observer for Bilinear Systems." Journal of Dynamic Systems, Measurement, and Control 114, no. 4 (1992): 556–62. http://dx.doi.org/10.1115/1.2897724.

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An observer for a bilinear system with an unknown unmeasurable disturbance is considered. Necessary and sufficient conditions for the existence of disturbance decoupled full order and minimal order observers are formulated. The conditions analogous to detectability and pole assignment of linear observers are also given. These conditions provide a basis for verification of observer existence and design procedures to select observer matrices using straightforward matrix calculus. The observers are intended for application to the state estimation of a semi-active vehicle suspension system and the
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13

Petrovas, Andrius, Roma Rinkeviciene, and Saulius Lisauskas. "Design of Observer for Direct Current Drive." Solid State Phenomena 147-149 (January 2009): 119–24. http://dx.doi.org/10.4028/www.scientific.net/ssp.147-149.119.

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Control theory proposes to apply observers in systems with uncertain plant parameters. Observers can be used for calculation of feedback gains and getting desired, even strictly determined response requirements. The paper considers design of controller for direct current drive. As state space variables are chosen armature current and angular speed of motor. Mathematical model of the motor, operating with load which is assumed as disturbance, is elaborated. Full order Luenberg observer is designed according to desired characteristic equation of system. The results of simulation are presented an
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14

LIU, LING, DELIANG LIANG, CHONGXIN LIU, and QUN ZHANG. "NONLINEAR STATE OBSERVER DESIGN FOR PROJECTIVE SYNCHRONIZATION OF FRACTIONAL-ORDER PERMANENT MAGNET SYNCHRONOUS MOTOR." International Journal of Modern Physics B 26, no. 30 (2012): 1250166. http://dx.doi.org/10.1142/s0217979212501664.

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In this paper, a nonlinear state observer control strategy is developed for projective self-synchronization of the fractional-order chaotic attractors of a permanent magnet synchronous motor (PMSM) system. The mathematical model of PMSM system in a smooth fractional-order form is derived by using the fractional derivative theory. A state observer control design can achieve the full-state projective synchronization of the fractional-order PMSM (FO-PMSM) system without the limitation of partial-linearity. Global stability and asymptotic synchronization between the outputs of drive system and res
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15

Lungu, Mihai. "Design of Reduced-Order Multiple Observers for Uncertain Systems with Unknown Inputs." Complexity 2018 (2018): 1–14. http://dx.doi.org/10.1155/2018/5231989.

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The paper presents the design of a new reduced-order multiple observer for the estimation of the state associated with Takagi-Sugeno systems with unknown inputs, this being only the second reduced-order multiple observer ever designed. The design of reduced-order multiple observers which can achieve the finite-time state reconstruction for nonlinear systems described by multiple models is a niche area problem; the author of this paper continuing his work started with the introduction of the reduced-order multiple observer concept. The new multiple observer is a combination of a typical reduced
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16

Savin, Sergei, Sergey Jatsun, and Ludmila Vorochaeva. "State observer design for a walking in-pipe robot." MATEC Web of Conferences 161 (2018): 03012. http://dx.doi.org/10.1051/matecconf/201816103012.

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In this paper, a state observer design for a walking in-pipe robot is studied. The necessity of using a state observer is related to the fact that sensors have limited accuracy and are prone to producing noise. This is especially problematic for in-pipe walking robots, since they use model-based control and require accurate information of their current state. The paper shows that an iterative state observer based on solving Riccati equation provides significant improvements in the behaviour of the control system. It allows to smooth out the spikes in the control actions requested by controller
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17

Wang, Can, Weinan Wu, Guochong Li, Guilin Yang, Chi Zhang, and Jianfei Pan. "Design of Full-Order State Observer for Motor Drive Systems Based on the Fixed Gain Filter." IEEE Access 9 (2021): 13488–98. http://dx.doi.org/10.1109/access.2021.3050511.

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18

Heidari, Mohammad, and Hadi Homaei. "Quadratic Optimal Regulator Design of a Pneumatic Control Valve." Modelling and Simulation in Engineering 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/862190.

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Pneumatic control valves are still the most used devices in the process industries, due to their low cost and simplicity. This paper presents a regulator for pneumatic control valves using pole-placement method, optimal control, full-order state observer, and minimum-order state observer and their responses will be compared with each other. Bondgraph method has been used to model the control valve. Simulation results have been made for four models of regulator. The results show that minimum overshoot and settling time are achieved using optimal regulator of pneumatic valve.
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19

Huang, Shanshan, Xin Deng, Pengkun Xing, and Chongjun Su. "Improved Design of Feedback Matrix of Adaptive Observer for Induction Motor." Journal of Physics: Conference Series 2479, no. 1 (2023): 012015. http://dx.doi.org/10.1088/1742-6596/2479/1/012015.

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Abstract In order to address the issue of the induction motor speed sensorless vector control system’s poor dynamic performance at low speed, this research suggests a brand-new feedback matrix algorithm for the full-order adaptive observer. Firstly, the open-loop transfer function based on the back-EMF error is analyzed, the stability conditions of the induction motor operation are deduced, and a preliminary framework is established for designing the feedback gain. Secondly, in order to maximize the system’s dynamic performance, the damping ratio of the speed identification system is chosen as
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20

Li, Yi Ming. "The Technology Research of State Observer Design for Second-Order Control System." Applied Mechanics and Materials 556-562 (May 2014): 2483–86. http://dx.doi.org/10.4028/www.scientific.net/amm.556-562.2483.

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For any second-order system, so long as it can be proved that it can be controlled and observed, it can proceed to the design of the observer. The article selects any second-order system, and the first the paper writes the block diagram of transfer function, and proves its controllability and observability, and then carries pole assignment with it. Finally the article designs the observer for the system. Through the simulation software can prove that the second-order system becomes into the stable system from the unstable system through the design of observer.
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21

Mohammed, Salisu, Yusuf A. Sha’aban, Ime J. Umoh, and Ahmed T. Salawudeen. "Optimal design of full order state observer for active surge control in centrifugal compressors using genetic algorithm." TELKOMNIKA (Telecommunication Computing Electronics and Control) 20, no. 2 (2022): 405. http://dx.doi.org/10.12928/telkomnika.v20i2.17440.

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22

Sun, Jia, Yu Hou Wu, and Nan Xiao. "Analysis of Leveling Control System via Iterative Linear Matrix Inequalities with Full Order Observer." Advanced Materials Research 472-475 (February 2012): 1473–76. http://dx.doi.org/10.4028/www.scientific.net/amr.472-475.1473.

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Abstract. This paper investigates leveling control system of suspended access platform using an observer-based controller. Uncertain linear systems for leveling control are derived and represented in terms of a set of matrix inequalities. In the system, all state variables needn’t be measured; the perturbations of leveling control are assumed to be described by structural uncertainties. The stiff problem is avoided since the design procedure is independent of the small parameter. The control problem can be effectively solved by the proposed iterative linear matrix inequality approach. The conv
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23

Vinodh, Kumar E., Jerome Jovitha, and S. Ayyappan. "Comparison of four state observer design algorithms for MIMO system." Archives of Control Sciences 23, no. 2 (2013): 243–56. http://dx.doi.org/10.2478/acsc-2013-0015.

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A state observer is a system that models a real system in order to provide an estimate of the internal state of the system. The design techniques and comparison of four different types of state observers are presented in this paper. The considered observers include Luenberger observer, Kalman observer, unknown input observer and sliding mode observer. The application of these observers to a Multiple Input Multiple Output (MIMO) DC servo motor model and the performance of observers is assessed. In order to evaluate the effectiveness of these schemes, the simulated results on the position of DC
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Moura, Jairo Terra, Hakan Elmali, and Nejat Olgac. "Sliding Mode Control With Sliding Perturbation Observer." Journal of Dynamic Systems, Measurement, and Control 119, no. 4 (1997): 657–65. http://dx.doi.org/10.1115/1.2802375.

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This work introduces a new robust motion control algorithm using partial state feedback for a class of nonlinear systems in the presence of modelling uncertainties and external disturbances. The effects of these uncertainties are combined into a single quantity called perturbation. The major contribution of this work comes as the development and design of a robust observer for the state and the perturbation which is integrated into a Variable Structure Controller (VSC) structure. The proposed observer combines the procedures of Sliding Observers (Slotine et al, 1987) with the idea of Perturbat
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Amare, Nebiyeleul Daniel, Doe Hun Kim, Sun Jick Yang, and Young Ik Son. "Boundary Conditions for Transient and Robust Performance of a Reduced-Order Model-Based State Feedback Controller with PI Observer." Energies 14, no. 10 (2021): 2881. http://dx.doi.org/10.3390/en14102881.

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One common technique employed in control system design to minimize system model complexity is model order reduction. However, controllers designed by using a reduced-order model have the potential to cause the closed-loop system to become unstable when applied to the original full-order system. Additionally, system performance improvement techniques such as disturbance observers produce unpredictable outcomes when augmented with reduced-order model-based controllers. In particular, the closed-loop system stability is compromised when a large value of observer gain is employed. In this paper, a
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Zhan, Tao, and Shuping Ma. "Reduced-order observer design with unknown input for fractional order descriptor nonlinear systems." Transactions of the Institute of Measurement and Control 41, no. 13 (2019): 3705–13. http://dx.doi.org/10.1177/0142331219834990.

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This paper investigates the observer design issues for the quadratic inner-bounded nonlinear descriptor fractional order systems. Considering the disturbances or inaccessible partial inputs, the order reduction of observer with unknown input is firstly implemented for effectively estimating the system state vectors. Then, for the purpose of the system conservatism reduction, the matrix [Formula: see text] and the matrix generalized inverse technique are applied to design the reduced-order observer, which can deal with unknown input with less restrictions of coefficient matrices. By using fract
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Trigka, Maria, and Elias Dritsas. "Non-Linear Observer Design with Laguerre Polynomials." Entropy 24, no. 7 (2022): 913. http://dx.doi.org/10.3390/e24070913.

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In this paper, a methodology for a non-linear system state estimation is demonstrated, exploiting the input and parameter observability. For this purpose, the initial system is transformed into the canonical observability form, and the function that aggregates the non-linear dynamics of the system, which may be unknown or difficult to be computed, is approximated by a linear combination of Laguerre polynomials. Hence, the system identification translates into the estimation of the parameters involved in the linear combination in order for the system to be observable. For the validation of the
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28

Tsui, Chia-Chi. "State Observers/Kalman Filters are Generally Unsuitable for Feedback Control While a Far More Rational and Superior Solution is Available." International Journal of Recent Development in Engineering and Technology 13, no. 3 (2024): 8–13. http://dx.doi.org/10.54380/ijrdetv13i302.

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-An observer that estimates system state vector x(t) is a state observer. Although a state observer can generate state feedback control signal Kx(t) where the constant gain K can bese parately designed before its realizing observer, the actual observer feedback system cannot have its loop transfer function equal K(sI – A)-1B, the loop transfer function of the direct state feedback control, for a great majority of plant systems. Because loop transfer function determines the sensitivity function and robust properties of the corresponding feedback system, this implies that the robust properties o
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Abdelrahim, Mahmoud, and Dhafer Almakhles. "Observer-Based Control of Inductive Wireless Power Transfer System Using Genetic Algorithm." Processes 11, no. 6 (2023): 1859. http://dx.doi.org/10.3390/pr11061859.

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In this paper, we studied the feedback stabilization of an inductive power transfer system based on available output measurement. The proposed controller relies on a full-order state observer in order to estimate the unmeasured state. The control design problem is challenging due to the large dimension of the closed-loop system, which requires too many tuning parameters to be determined when conventional control methods are employed. To solve this issue, we propose an LQR methodology based on a genetic algorithm such that the weighing coefficients of the cost function matrices can be automatic
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Kim, Wonhee, and Daehee Won. "Nonlinear Position Control with Nonlinear Coordinate Transformation Using Only Position Measurement for Single-Rod Electro-Hydrostatic Actuator." Mathematics 8, no. 8 (2020): 1273. http://dx.doi.org/10.3390/math8081273.

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In existing methods, full-state feedback is required for the position tracking of single-rod Electro Hydrostatic Actuators (EHAs). Measuring a full state is not always possible because of cost and space limitations. Furthermore, measurement noise from pressure sensors may degrade the control performance. We propose an observer-based nonlinear position control with nonlinear coordinate transformation while only using position measurement to improve the position tracking of single-rod EHAs. The proposed method comprises a position controller and an observer. We propose a nonlinear coordinate tra
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31

Sundarapandian, Vaidyanathan, and Madhavan Kavitha. "OBSERVER-BASED REDUCED ORDER CONTROLLER DESIGN FOR THE STABILIZATION OF LARGE SCALE LINEAR DISCRETE-TIME CONTROL SYSTEMS." International Journal of Computer Science, Engineering and Information Technology (IJCSEIT) 1, no. 5 (2019): 85–95. https://doi.org/10.5281/zenodo.3472290.

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This paper discusses the design of observer-based reduced order controllers for the stabilization of large scale linear discrete-time control systems. This design is carried out via deriving a reduced-order model for the given linear plant using the dominant state of the linear plant. Using this reduced-order linear model, sufficient conditions are derived for the design of observer-based reduced order controllers. A separation principle has been established in this paper which demonstrates that the observer poles and controller poles can be separated and hence the pole-placement problem and o
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Baranowski, Jerzy. "Observer Design for a Variable Moment of Inertia System." Energies 14, no. 18 (2021): 5850. http://dx.doi.org/10.3390/en14185850.

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Variable moment of inertia systems are common, and a popular laboratory system of this type is the “ball-and-beam”. Such systems are, however, nonlinear and often unstable. Efficient control requires full state information (or at least partial velocities), which are generally difficult to measure. That is why the design of state observers is a relevant problem. In this paper, a new design of an observer is proposed. This new nonlinear observer uses partial output injection and the circle criterion to ensure semiglobal stability. Moreover, we present a complete modeling of the system and system
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Trinh, Hieu, Dinh Cong Huong, and Saeid Nahavandi. "Observer design for positive fractional-order interconnected time-delay systems." Transactions of the Institute of Measurement and Control 41, no. 2 (2018): 378–91. http://dx.doi.org/10.1177/0142331218757864.

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This paper considers the problem of designing positive reduced-order distributed functional observers for positive fractional-order interconnected time-delay systems. The systems under consideration belong to a class of large-scale fractional-order systems where each system is formed by [Formula: see text] ([Formula: see text]) interconnected subsystems with heterogeneous time delays in the interconnections and the local state vectors. First, a necessary and sufficient condition to ensure the positivity of the considered system is derived. Based on this result, [Formula: see text] stand-alone
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34

Yoo, Heonjong, and Zoran Gajic. "New Designs of Reduced-Order Observer-Based Controllers for Singularly Perturbed Linear Systems." Mathematical Problems in Engineering 2017 (2017): 1–14. http://dx.doi.org/10.1155/2017/2859548.

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The slow and fast reduced-order observers and reduced-order observer-based controllers are designed by using the two-stage feedback design technique for slow and fast subsystems. The new designs produce an arbitrary order of accuracy, while the previously known designs produce the accuracy of O(ϵ) only where ϵ is a small singular perturbation parameter. Several cases of reduced-order observer designs are considered depending on the measured state space variables: only all slow variables are measured, only all fast variables are measured, and some combinations of the slow and fast variables are
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Ivanescu, Mircea, Dorian Cojocaru, Nicu Bizdoaca, et al. "Boundary Control by Boundary Observer for Hyper-redundant Robots." International Journal of Computers Communications & Control 5, no. 5 (2010): 755. http://dx.doi.org/10.15837/ijccc.2010.5.2235.

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The control problem of a class of hyper-redundant arms with continuum elements, with boundary measuring and control is discussed. First, the dynamic model of the continuum arm is presented. The measuring systems are based on the film sensors that are placed at the terminal sub-regions of the arm. The observers are proposed in order to reconstruct the full state of the arm. A back-stepping method is used to design a boundary control algorithm. Numerical simulations of the arm motion toward an imposed position are presented. An experimental platform shows the effectiveness of the proposed method
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36

Chou, Fu-I., and Ming-Yang Cheng. "Optimal design of reduced-order observers with specified eigenvalues and performance measurement of minimizing estimation errors using evolutionary optimization." Journal of Low Frequency Noise, Vibration and Active Control 38, no. 2 (2019): 728–39. http://dx.doi.org/10.1177/1461348419830226.

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A new method is proposed in this paper which designs a reduced-order observer of a non-observable-form-based dynamical system such that: (i) the eigenvalues are specified to satisfy desired convergence performance, (ii) a full-rank condition is satisfied, and (iii) a quadratic performance measurement of the deviation of the estimates from the actual states is minimized so as to reduce the large error occurring during the transient period of observation. The proposed approach combines the merits of both the orthogonal functions approach and evolutionary optimization. By solving a Sylvester equa
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37

Naifar, Omar, and Abdellatif Ben Makhlouf. "On the Stabilization and Observer Design of Polytopic Perturbed Linear Fractional-Order Systems." Mathematical Problems in Engineering 2021 (March 23, 2021): 1–6. http://dx.doi.org/10.1155/2021/6699756.

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In this paper, the problem of stabilization and observer design of parameter-dependent perturbed fractional-order systems is investigated. Sufficient conditions on the practical Mittag–Leffler and Mittag–Leffler stability are given based on the Lyapunov technique. Firstly, the problem of stabilization using the state feedback is developed. Secondly, under some sufficient hypotheses, an observer design which provides an estimation of the state is constructed. Finally, numerical examples are provided to validate the contributed results.
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38

Chouya, Ahmed. "Observers Design For Sensorless PMSMs." WSEAS TRANSACTIONS ON SYSTEMS 22 (February 28, 2023): 49–55. http://dx.doi.org/10.37394/23202.2023.22.6.

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A state observer is proposed for permanent magnet synchronous motors (PMSMs). The gain of this observer involves a design function that has to satisfy some mild conditions which are given. Different expressions of such a function are proposed. Of particular interest, it is shown that high gain observers and sliding mode like observers can be derived by considering particular expressions of the design function. The simulation is given in order to compare the performance of a high gain observer and a sliding mode observer obtained through two different choices of the design function. Simulation
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39

Wang, Guo-sheng, Bing Liang, and Zeng-xin Tang. "A Parameterized Design of Reduced-order State Observer in Linear Control Systems." Procedia Engineering 15 (2011): 974–78. http://dx.doi.org/10.1016/j.proeng.2011.08.180.

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Demetriou, Michael A., and Nikolaos Kazantzis. "Natural Observer Design for Singularly Perturbed Vector Second-Order Systems." Journal of Dynamic Systems, Measurement, and Control 127, no. 4 (2004): 648–55. http://dx.doi.org/10.1115/1.2101847.

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Our aim in the present research study is to develop a systematic natural observer design framework for vector second-order systems in the presence of time-scale multiplicity. Specifically, vector second-order mechanical systems are considered along with fast sensor dynamics, and the primary objective is to obtain accurate estimates of the unmeasurable slow system state variables that are generated by an appropriately designed model-based observer. Within a singular perturbation framework, the proposed observer is designed on the basis of the system dynamics that evolves on the slow manifold, a
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Assefa, Alemie. "Reduced Order Observer Based Pole Placement Design for Inverted Pendulum on Cart." Journal of Informatics Electrical and Electronics Engineering (JIEEE) 3, no. 2 (2022): 1–11. http://dx.doi.org/10.54060/jieee/003.02.002.

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The inverted pendulum is an under actuated system and unstable system without a controller. In this paper modelling of an inverted pendulum is done using the Euler-Lagrange equation for stabilization of it. The controller gain is evaluated through state feedback and reduced-order observer design techniques and the result for the different initial conditions is compared. The state feedback controller is designed by Pole- placement technique for different desired pole locations. The simulation of the inverted pendulum based on reduced order pole placement design has been done on MATLAB/SIMULINK.
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42

Zhang, Haoran, Jun Huang, and Siyuan He. "Fractional-Order Interval Observer for Multiagent Nonlinear Systems." Fractal and Fractional 6, no. 7 (2022): 355. http://dx.doi.org/10.3390/fractalfract6070355.

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A framework of distributed interval observers is introduced for fractional-order multiagent systems in the presence of nonlinearity. First, a frame was designed to construct the upper and lower bounds of the system state. By using monotone system theory, the positivity of the error dynamics could be ensured, which implies that the bounds could trap the original state. Second, a sufficient condition was applied to guarantee the boundedness of distributed interval observers. Then, an extension of Lyapunov function in the fractional calculus field was the basis of the sufficient condition. An alg
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Khedher, Atef, Ilyes Elleuch, and Kamal BenOthman. "Adaptive Proportional Integral Observer Design for Interval Type 2 Takagi–Sugeno Fuzzy Systems." Mathematical Problems in Engineering 2021 (July 15, 2021): 1–13. http://dx.doi.org/10.1155/2021/5317391.

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In this paper, the problem of fault estimation in systems described by Takagi–Sugeno fuzzy systems is studied. A proportional integral observer is conceived in order to reconstruct state and faults which can affect the studied system. Proportional integral observer can easily estimate actuator faults which are assimilated to be as unknown inputs. In order to estimate actuator and sensor faults, a mathematical transformation is used to conceive an augmented system, in which the initial sensor fault appears as an unknown input. Considering the augmented state, it is possible to conceive an adapt
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Wang, Yongchao, Shangmin Qi, Yujun Hu, Shenghui Guo, and Darong Huang. "Actuator Fault Diagnosis for Discrete-Time Systems via Augmenting State Approach." Mathematical Problems in Engineering 2021 (May 24, 2021): 1–12. http://dx.doi.org/10.1155/2021/5565353.

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For the problem of the actuator fault diagnosis in the control systems, this paper presents a novel method by using an interval estimation approach to detect the faults and reconstruct them. In order to make estimations of the unavoidable measurement noise, a descriptor system form is built. Firstly, a full-order interval observer is developed to detect actuator faults for its sensitiveness to them. Then, a reduced-order one, which is robust to actuator faults, is presented. This method does not need the boundary information of faults; thus, the design condition is more relaxed. In order to ma
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Gu, Nannan, Xi Wang, and Feiqiang Lin. "Design of Disturbance Extended State Observer (D-ESO)-Based Constrained Full-State Model Predictive Controller for the Integrated Turbo-Shaft Engine/Rotor System." Energies 12, no. 23 (2019): 4496. http://dx.doi.org/10.3390/en12234496.

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In the modern helicopter design and development process, constrained full-state control technology for turbo-shaft engine/rotor systems has always been a research hotspot in academia and industry. However, relevant references have pointed out that the traditional design method with an overly complex structure (Min-Max structure and schedule-based transient controller, i.e., M-M-STC) may not be able to meet the protection requirements of engine control systems under certain circumstances and can be too conservative under other conditions. In order to address the engine limit protection problem
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Beni, Mohsen Heydari, Hadi Homaei, Ehsan Kiani, and Fatemeh Abbaspour. "Dynamic Modeling and Simulation of Control System for Pneumatic Servo Valve Using Piezoelectric Actuator." Ciência e Natura 37 (December 21, 2015): 153. http://dx.doi.org/10.5902/2179460x20842.

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In this study design and simulation of controller for piezoelectric pneumatic servo valve is done. The dynamic model of the valve using analytical approach and the working principle of the servo valve is analyzed. The pole placement method is used to design a controller using observed variables. The valve controls the situation and position of actuator. Then for the system, full order state observer and PID controller based on ITAE (Integral Time Absolute Error) criteria are investigated and the response of system with these controllers is shown and a comparison is done for different schemes o
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Gassara, Hamdi, Mohamed Rhaima, Lassaad Mchiri, and Abdellatif Ben Makhlouf. "Observer Design for Fractional-Order Polynomial Fuzzy Systems Depending on a Parameter." Fractal and Fractional 8, no. 12 (2024): 693. http://dx.doi.org/10.3390/fractalfract8120693.

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For fractional-order systems, observer design is remarkable for the estimation of unavailable states from measurable outputs. In addition, the nonlinear dynamics and the presence of parameters that can vary over different operating conditions or time, such as load or temperature, increase the complexity of the observer design. In view of the aforementioned factors, this paper investigates the observer design problem for a class of Fractional-Order Polynomial Fuzzy Systems (FORPSs) depending on a parameter. The Caputo–Hadamard derivative is considered in this study. First, we prove the practica
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Chen, Kairui, Junwei Wang, Xiaojing Zhong, and Guanyu Lai. "Distributed Observer Design for Linear Systems under Time-Varying Communication Delay." Complexity 2021 (September 6, 2021): 1–12. http://dx.doi.org/10.1155/2021/7257248.

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The paper investigates the state estimation problem of general continuous-time linear systems with the consideration of time-varying communication delay. A solution is proposed in terms of the networked distributed observer, which consists of multiple local observers. Each local observer relies on only part of the system output and exchanges information with neighbors through undirected links modeled by a prespecified communication graph. A simple approach for computing observer parameters is presented by solving a parametric algebraic Riccati equation. Furthermore, by the Lyapunov–Krasovskii
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YAO Jun. "Design research on the Reduce Order State Observer for the Crane Load System." Journal of Convergence Information Technology 8, no. 5 (2013): 725–32. http://dx.doi.org/10.4156/jcit.vol8.issue5.84.

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Lee, Byung-Seok, Moon-Beom Heo, Gi-Wook Nam, and Hyeong-Taek Park. "Reduced Order Luenberger State Observer Design for Lateral Direction Approach Control of Aircraft." Journal of the Korean Society for Aviation and Aeronautics 20, no. 2 (2012): 18–25. http://dx.doi.org/10.12985/ksaa.2012.20.2.018.

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