Dissipativity-Based Controller Design for Time-Delayed T-S Fuzzy Switched Distributed Parameter Systems

被引：2

作者：

Song, Xiaona ^{[1
]}

Wang, Mi ^{[1
]}

Song, Shuai ^{[2
]}

Man, Jingtao ^{[1
]}

机构：

[1] Henan Univ Sci & Technol, Sch Informat Engn, Luoyang 471023, Peoples R China

[2] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China

来源：

COMPLEXITY | 2018年

基金：

中国国家自然科学基金;

关键词：

H-INFINITY CONTROL; PDE SYSTEMS; STABILITY; OBSERVER;

D O I：

10.1155/2018/6215945

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies fuzzy controller design problem for a class of nonlinear switched distributed parameter systems (DPSs) subject to time-varying delay. Initially, the original nonlinear DPSs are accurately described by Takagi-Sugeno fuzzy model in a local region. On the basis of parallel distributed compensation technique, mode-dependent fuzzy proportional and fuzzy proportional-spatialderivative controllers are constructed, respectively. Subsequently, using single Lyapunov-Krasovskii functional and some matrix inequality methods, sufficient conditions that guarantee the stability and dissipativity of the closed-loop systems are presented in the form of linear matrix inequalities, which allow the control gain matrices to be easily obtained. Finally, numerical examples are provided to demonstrate the validity of the designed controllers.

引用

页数：11

共 30 条

[1] Adaptive Observer for a Class of Parabolic PDEs [J].

Ahmed-Ali, T. ;

Giri, F. ;

Krstic, M. ;

Lamnabhi-Lagarrigue, F. ;

Burlion, L. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (10) :3083-3090

[2] Adaptive boundary observer for parabolic PDEs subject to domain and boundary parameter uncertainties [J].

Ahmed-Ali, Tarek ;

Giri, Fouad ;

Krstic, Miroslav ;

Bullion, Laurent ;

Lamnabhi-Lagarrigue, Francoise .

AUTOMATICA, 2016, 72 :115-122

[3]

Ascencio P, 2016, P AMER CONTR CONF, P3429, DOI 10.1109/ACC.2016.7525444

[4] Fault-Tolerant Control for T-S Fuzzy Descriptor Systems with Sensor Faults: An LMI Approach [J].

Brahim, Imen Haj ;

Chaabane, Mohamed ;

Mehdi, Driss .

INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2017, 19 (02) :516-527

[5] Sliding mode boundary control of a parabolic PDE system with parameter variations and boundary uncertainties [J].

Cheng, Meng-Bi ;

Radisavljevic, Verica ;

Su, Wu-Chung .

AUTOMATICA, 2011, 47 (02) :381-387

[6] Dynamic Output-Feedback Dissipative Control for T-S Fuzzy Systems With Time-Varying Input Delay and Output Constraints [J].

Choi, Hyun Duck ;

Ahn, Choon Ki ;

Shi, Peng ;

Wu, Ligang ;

Lim, Myo Taeg .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2017, 25 (03) :511-526

[7]

Christofides P. D., 2001, ROBUST CONTROL HYPER

[8]

Hagen G, 2001, IEEE DECIS CONTR P, P555, DOI 10.1109/CDC.2001.980161

[9] Backstepping observers for linear PDEs on higher-dimensional spatial domains [J].

Jadachowski, Lukas ;

Meurer, Thomas ;

Kugi, Andreas .

AUTOMATICA, 2015, 51 :85-97

[10] Observer-Based Fuzzy Control for Nonlinear Networked Systems Under Unmeasurable Premise Variables [J].

Li, Hongyi ;

Wu, Chengwei ;

Yin, Shen ;

Lam, Hak-Keung .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2016, 24 (05) :1233-1245

← 1 2 3 →