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

被引：63

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

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2001年 / 9卷 / 04期

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

页码：657 / 661

页数：5

共 13 条

[1] Analysis and design for a class of complex control systems .1. Fuzzy modelling and identification
Cao, SG
Rees, NW
Feng, G
[J]. 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
Lam, HK
Leung, FHF
Tam, PKS
[J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2001, 26 (02) : 129 - 144
[5] Stable and robust fuzzy control for uncertain nonlinear systems
Lam, HK
Leung, FHF
Tam, PKS
[J]. 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
Leung, FHF
Lam, HK
Tam, PKS
[J]. SYSTEMS & CONTROL LETTERS, 1998, 35 (04) : 237 - 243
[9] FUZZY IDENTIFICATION OF SYSTEMS AND ITS APPLICATIONS TO MODELING AND CONTROL
TAKAGI, T
SUGENO, M
[J]. 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
Tanaka, K
Ikeda, T
Wang, HO
[J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1996, 4 (01) : 1 - 13

← 1 2 →