LMI Solution for Robust Static Output Feedback Control of Discrete Takagi-Sugeno Fuzzy Models

被引:167
作者
Chadli, M. [1 ]
Guerra, T. M. [2 ]
机构
[1] Univ Picardie Jules Verne, F-80000 Amiens, France
[2] Univ Valenciennes, Valenciennes 9, France
关键词
Static output control; strict linear matrix inequalities (LMIs); Takagi-Sugeno (T-S) fuzzy models; uncertainties; H-INFINITY CONTROL; NONQUADRATIC STABILIZATION CONDITIONS; DEPENDENT LYAPUNOV FUNCTIONS; NONLINEAR-SYSTEMS; QUADRATIC STABILITY; CONTROL DESIGN; OBSERVERS; UNCERTAINTY; REGULATORS; FORM;
D O I
10.1109/TFUZZ.2012.2196048
中图分类号
TP18 [人工智能理论];
学科分类号
140502 [人工智能];
摘要
This paper deals with the stabilization problem of discrete-time Takagi-Sugeno (T-S) fuzzy systems via static output controller (SOFC). The proposed method uses the descriptor approach to study this problem and leads to strict linear matrix inequality (LMI) formulation. In contrast with the existing results, the method allows coping with multiple output matrices, as well as uncertainties. Moreover, the new proposed method can lead to less conservative results by introducing slack variables and considering multiple Lyapunov matrices. A robust SOFC for uncertain T-S fuzzy models is also derived in strict LMI terms. Numerical examples are given to illustrate the effectiveness of the proposed design results.
引用
收藏
页码:1160 / 1165
页数:7
相关论文
共 46 条
[1]
Boyd S., 1994, LINEAR MATRIX INEQUA
[2]
Robust admissibility of uncertain switched singular systems [J].
Chadli, M. ;
Darouach, M. .
INTERNATIONAL JOURNAL OF CONTROL, 2011, 84 (10) :1587-1600
[3]
Chadli M, 2002, 10 MED C CONTR AUT L
[4]
Chadli M., 2008, P 47 IEEE C DEC CONT, P4793
[5]
H∞ state-feedback controller design for discrete-time fuzzy systems using fuzzy weighting-dependent Lyapunov functions [J].
Choi, DJ ;
Park, P .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2003, 11 (02) :271-278
[6]
Sufficient LMI conditions for output feedback control problems [J].
Crusius, CAR ;
Trofino, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (05) :1053-1057
[7]
Control Synthesis of T-S Fuzzy Systems Based on a New Control Scheme [J].
Dong, Jiuxiang ;
Yang, Guang-Hong .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2011, 19 (02) :323-338
[8]
Static output feedback H∞ control of a class of nonlinear discrete-time systems [J].
Dong, Jiuxiang ;
Yang, Guang-Hong .
FUZZY SETS AND SYSTEMS, 2009, 160 (19) :2844-2859
[9]
ELGHAOUI L, 1999, LMITOOL PACKAGE LMI
[10]
A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems [J].
Fang, Chun-Hsiung ;
Liu, Yung-Sheng ;
Kau, Shih-Wei ;
Hong, Lin ;
Lee, Ching-Hsiang .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2006, 14 (03) :386-397