Stability Analysis and Dynamic Output Feedback Control for Nonlinear T-S Fuzzy System with Multiple Subsystems and Normalized Membership Functions

다국어 초록 (Multilingual Abstract)

This paper addresses the stability analysis and dynamic output-feedback control problems for a class of nonlinear Takagi-Sugeno (T-S) fuzzy systems with multiple subsystems and normalized membership functions.
First, the switching control law of the membership function is proposed based on the membership function for the nonlinear T-S fuzzy subsystems. Secondly, the relaxation parameter is introduced into this switching control law to guarantee a minimal dwell time between two consecutive switching. Then, based on the proposed switching control law of the membership function and relaxation parameter, the dynamic output feedback controller with the estimate algorithm is designed to estimate the attraction domain. By introducing the new switched Lyapunov-Krasovskii functional, it can be seen that the solutions of the resultant closed-loop system converge to an adjustable bounded region. Compared with the previous works, the developed controller in this paper is flexible and smooth, which only uses the system output. And the results are further extended to the mobile robot case and the chemical process case. Finally, two simulation examples are performed to show the effectiveness of the theoretical results.

참고문헌 (Reference)

1 박진배, "l∞ Fuzzy Filter Design for Nonlinear Systems with Missing Measurements: Fuzzy Basis-dependent Lyapunov Function Approach" 제어·로봇·시스템학회 14 (14): 425-434, 2016

2 Boukhalfa Abdelouaheb, "Synergetic Adaptive Fuzzy Control for a Class of Nonlinear Discrete-time Systems" 제어·로봇·시스템학회 16 (16): 1981-1988, 2018

3 J. B. Qiu, "Static-output-feedback control of continuous-time T-S fuzzy affine systems via piecewise Lyapunov functions" 21 (21): 245-261, 2013

4 M. B. Yazdi, "Stabilization of a CSTR with two arbitrarily switching modes using modal state feedback linearization" 155 (155): 838-843, 2016

5 D. Zhai, "Stability analysis and state feedback control of continuous-time T-S fuzzy systems via anew switched fuzzy Lyapunov function approach" 293 (293): 586-599, 2017

6 C. C. Hua, "Smooth dynamic output feedback control for multiple time-delay systems with nonlinear uncertainties" 68 : 1-8, 2016

7 D. Zhai, "Simultaneous fault detection and control for switched linear systems with mode-dependent average dwell-time" 273 : 767-792, 2016

8 Y. L. Wei, "Reliable output feedback control of discrete-time fuzzy affine systems with actuator faults" 64 (64): 170-181, 2017

9 C. Z. Zhang, "Reliable output feedback control for T-S fuzzy systems with decentralized event triggering communication and actuator failures" 47 (47): 2592-2602, 2017

10 J. B. Qiu, "Reliable fuzzy output feedback control of nonlinear parabolic distributed parameter systems with sensor faults1" 29 (29): 1197-1208, 2015

11 Q. Zhou, "Prescribed performance observer-based adaptive fuzzy control for nonstrict-feedback stochastic nonlinear systems" 48 (48): 1747-1758, 2018

12 A. Zemouche, "On LMI conditions to design observers for Lipschitz nonlinear systems" 49 (49): 585-591, 2013

13 S. C. Tong, "Observerbased adaptive fuzzy back-stepping dynamic surface control for a class of MIMO nonlinear systems" 41 (41): 1124-1135, 2011

14 C.W.Wu, "Observerbased adaptive fault-tolerant tracking control of nonlinear nonstrict-feedback systems" 29 (29): 3022-3033, 2018

15 T. C. Wang, "Observer-based outputfeedback asynchronous control for switched fuzzy systems" 47 (47): 2579-2591, 2017

16 S. C. Tong, "Observed-based adaptive fuzzy decentralized tracking control for switched uncertain nonlinear large-scale systems with dead zones" 46 (46): 37-47, 2016

17 Y. L.Wei, "New results on H-∞ dynamic output feedback control for Markovian jump systems with time-varying delay and defective mode information" 35 (35): 656-675, 2015

18 T. Wang, "Networkbased fuzzy control for nonlinear industrial processes with predictive compensation strategy" 47 (47): 2137-2147, 2017

19 구근범, "Intelligent Digital Redesign for Sampled-data Fuzzy Control Systems Based on State-matching Error Cost Function Approach" 제어·로봇·시스템학회 16 (16): 350-359, 2018

20 W. Yu, "Hierarchical fuzzy CMAC for nonlinear systems modeling" 16 (16): 1302-1314, 2008

21 J. B. Qiu, "Fuzzy-modelbased reliable static output feedback H-∞ control of nonlinear hyperbolic PDE systems" 24 (24): 388-400, 2016

22 X. H. Chang, "Fuzzy robust dynamic output feedback control of nonlinear systems with linear fractional parametric uncertainties" 291 : 213-225, 2016

23 H. Y. Li, "Fuzzy dynamic outputfeedback control of non-linear networked discrete-time system with missing measurements" 9 (9): 327-335, 2015

24 S. C. Tong, "Fuzzy adaptive output feedback control of MIMO nonlinear systems with partial tracking errors constrained" 23 (23): 729-742, 2015

25 이창주, "Fuzzy H∞ FIR Filtering for T–S Fuzzy Systems with Quantization and Packet Dropout" 제어·로봇·시스템학회 16 (16): 961-971, 2018

26 Y. L. Wei, "Fixed-order piecewise-affine output feedback controller for fuzzyaffine-model-based nonlinear systems with time-varying delay" 64 (64): 945-958, 2017

27 C. Z. Zhang, "Eventtriggered nonsynchronized H- filtering for discrete-time TS fuzzy systems based on piecewise Lyapunov functions" 47 (47): 2330-2341, 2017

28 Jeang-Lin Chang, "Disturbance Observer Based Output Feedback Controller Design for Systems with Mismatched Disturbance" 제어·로봇·시스템학회 16 (16): 1775-1782, 2018

29 T. Wang, "Distributed fuzzy H-∞ filtering for nonlinear multirate networked double-layer industrial processes" 64 (64): 5203-5211, 2017

30 Y. L. Wei, "Approaches to T-S fuzzy-affine-model-based reliable output feedback control for nonlinear Ito stochastic systems" 25 (25): 569-583, 2017

31 Y. M. Li, "Adaptive output-feedback control design with prescribed performance for switched nonlinear systems" 80 : 225-231, 2017

32 Y. M. Li, "Adaptive fuzzy robust output feedback control of nonlinear systems with unknown dead zones based on a small-gain approach" 22 (22): 164-176, 2014

33 Y. M. Li, "Adaptive fuzzy output-feedback stabilization control for a class of switched nonstrictfeedback nonlinear systems" 47 (47): 1007-1016, 2017

34 C. C. Hua, "Adaptive fuzzy output-feedback controller design for nonlinear time-delay systems with unknown control direction" 39 (39): 363-374, 2009

35 Y. Li, "Adaptive fuzzy decentralized output feedback control for stochastic nonlinear large-scale systems" 23 (23): 381-399, 2013

36 C. W. Wu, "Adaptive fuzzy control for nonlinear networked control systems" 47 (47): 2420-2430, 2017

37 T. Wang, "Adaptive fuzzy backstepping control for a class of nonlinear systems with sampled and delayed measurements" 23 (23): 302-312, 2015

38 박수창, "Adaptive Fuzzy Super-twisting Backstepping Control Design for MIMO Nonlinear Strict Feedback Systems" 제어·로봇·시스템학회 16 (16): 1165-1178, 2018

39 Y. L. Wei, "A new design of H-infinity piecewise filtering for discrete-time nonlinear time-varying delay systems via T-S fuzzy affine models" 47 (47): 2034-2047, 2017

40 D. H. Lee, "A fuzzy Lyapunov function approach to estimating the domain of attraction for continuous-time Takagi-Sugeno fuzzy systems" 185 (185): 230-248, 2012

41 T. Wang, "A combined faulttolerant and predictive control for network-based industrial processes" 63 (63): 2529-2536, 2016