A Switched System Approach to Exponential Stabilization of Sampled-Data T-S Fuzzy Systems With Packet Dropouts

被引：156

作者：

Wang, Meng ^{[1
]}

Qiu, Jianbin ^{[1
,2
]}

Chadli, Mohammed ^{[3
]}

Wang, Mao ^{[1
]}

机构：

[1] Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150001, Peoples R China

[2] Univ Duisburg Essen, Inst Automat Control & Complex Syst, D-47057 Duisburg, Germany

[3] Univ Picardie Jules Verne, F-80000 Amiens, France

来源：

IEEE TRANSACTIONS ON CYBERNETICS | 2016年 / 46卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Exponential stability; packet dropouts; sampled-data control; switched systems; Takagi-Sugeno (T-S) fuzzy systems; OUTPUT-FEEDBACK CONTROL; INPUT-DELAY APPROACH; NONLINEAR-SYSTEMS; STABILITY ANALYSIS; CONTROLLER-DESIGN; JUMP SYSTEMS; MODEL;

D O I：

10.1109/TCYB.2015.2498522

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the problem of exponential stabilization for sampled-data Takagi-Sugeno (T-S) fuzzy control systems with packet dropouts. An input delay approach is adopted to model the sample-and-hold behavior with a time-varying delayed control input, and a switched system approach is proposed to model the data-missing phenomenon. On this basis, the sampled-data T-S fuzzy control system with packet dropouts is modeled as a switched T-S fuzzy system with time-varying delay. The objective is to design a sampled-data fuzzy controller to guarantee the exponential stability of the resulting closed-loop system. Based on a new piecewise time-dependent Lyapunov functional, a novel sufficient condition is derived for the existence of exponentially stabilizing sampled-data fuzzy controllers. All the solutions to the problem are formulated in the form of linear matrix inequalities. Finally, two simulation examples are provided to illustrate the effectiveness of the proposed methods.

引用

页码：3145 / 3156

页数：12

共 47 条

[1]

[Anonymous], 1995, OPTIMAL SAMPLED DATA, DOI DOI 10.1007/978-1-4471-3037-6

[2]

Cannon R.H, 1967, Dynamics of Physical Systems

[3] LMI Solution for Robust Static Output Feedback Control of Discrete Takagi-Sugeno Fuzzy Models [J].

Chadli, M. ;

Guerra, T. M. .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2012, 20 (06) :1160-1165

[4]

Chang KH, 2015, INT J INNOV COMPUT I, V11, P733

[5] An Improved Stabilization Method for Sampled-Data Control Systems With Control Packet Loss [J].

Chen, Wu-Hua ;

Zheng, Wei Xing .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (09) :2378-2384

[6] Nonmonotonic Observer-Based Fuzzy Controller Designs for Discrete Time T-S Fuzzy Systems Via LMI [J].

Derakhshan, Siavash Fakhimi ;

Fatehi, Alireza ;

Sharabiany, Mehrad Ghasem .

IEEE TRANSACTIONS ON CYBERNETICS, 2014, 44 (12) :2557-2567

[7] A refined input delay approach to sampled-data control [J].

Fridman, Emilia .

AUTOMATICA, 2010, 46 (02) :421-427

[8] A Discrete-Time Approach to Stability Analysis of Systems With Aperiodic Sample-and-Hold Devices [J].

Fujioka, Hisaya .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (10) :2440-2445

[9] Stabilization of Nonlinear systems under variable sampling: A fuzzy control approach [J].

Gao, Huijun ;

Chen, Tongwen .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2007, 15 (05) :972-983

[10]

Hespanha J. P., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P2655, DOI 10.1109/CDC.1999.831330

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