Nonlinear state feedback controller for nonlinear systems: Stability analysis and design based on fuzzy plant model

被引:64
作者
Lam, HK [1 ]
Leung, FHF [1 ]
Tam, PKS [1 ]
机构
[1] Hong Kong Polytech Univ, Dept Elect & Informat Engn, Kowloon, Hong Kong, Peoples R China
关键词
nonlinear controller; nonlinear systems; stability analysis;
D O I
10.1109/91.940975
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper presents the stability analysis of a fuzzy-model-based control system consisting of a nonlinear plant and a nonlinear state feedback controller and the design of the nonlinear gains of the controller. The nonlinear plant is represented by a fuzzy model having p rules. A nonlinear state feedback controller is designed to close the feedback loop. Under this design, the stability condition is reduced to p linear matrix inequalities. An application example on stabilizing a mass-spring-damper system will be given.
引用
收藏
页码:657 / 661
页数:5
相关论文
共 13 条
[1]   Analysis and design for a class of complex control systems .1. Fuzzy modelling and identification [J].
Cao, SG ;
Rees, NW ;
Feng, G .
AUTOMATICA, 1997, 33 (06) :1017-1028
[2]  
Gahinet P., 1995, LMI Control Toolbox
[3]  
HOLMBLAD LP, 1981, P C 8 IFAC KYOT JAP, P809, DOI DOI 10.1016/S1474-6670(17)63582-1
[4]   Fuzzy control of a class of multivariable nonlinear systems subject to parameter uncertainties: model reference approach [J].
Lam, HK ;
Leung, FHF ;
Tam, PKS .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2001, 26 (02) :129-144
[5]   Stable and robust fuzzy control for uncertain nonlinear systems [J].
Lam, HK ;
Leung, FHF ;
Tam, PKS .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS, 2000, 30 (06) :825-840
[6]  
LAM HK, STABILITY ISSUES FUZ, P125
[7]  
LAM HK, 2000, P 9 INT C FUZZ SYST, V2, P677
[8]   Design of fuzzy controllers for uncertain nonlinear systems using stability and robustness analyses [J].
Leung, FHF ;
Lam, HK ;
Tam, PKS .
SYSTEMS & CONTROL LETTERS, 1998, 35 (04) :237-243
[9]   FUZZY IDENTIFICATION OF SYSTEMS AND ITS APPLICATIONS TO MODELING AND CONTROL [J].
TAKAGI, T ;
SUGENO, M .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1985, 15 (01) :116-132
[10]   Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: Quadratic stabilizability, H-infinity control theory, and linear matrix inequalities [J].
Tanaka, K ;
Ikeda, T ;
Wang, HO .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1996, 4 (01) :1-13