A New LMI-Based Approach to State Feedback H∞ Control Designs for T-S Fuzzy Dynamic Systems

被引：0

作者：

Chen, Zhaona ^{[1
]}

Jing, Yuanwei ^{[1
]}

Jiang, Nan ^{[1
]}

机构：

[1] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Peoples R China

来源：

2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5 | 2010年

关键词：

Quadratic Stability; T-S Fuzzy Control; Linear Matrix Inequalities; State Feedback H-infinity Control; STABILITY;

D O I：

暂无

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 proposes a new quadratic stability condition and H-infinity control designing for Takagi-Sugcno (T-S) fuzzy control systems. Firstly, new stability sufficient condition in the format of linear matrix inequalities (LMIs) is obtained by relaxing the stability condition derived in previous paper. It guarantees the existence of the state feedback H-infinity control. Secondly, the paper addresses the H-infinity controller designing, and the H-infinity controller can be considered by solving a set of suitable LMIs. Finally, the validity and applicability of the proposed approach are successfully demonstrated through numerical simulations for the continuous-time nonlinear system.

引用

页码：1058 / 1063

页数：6

共 50 条

[1] H∞ output feedback control designs for T-S fuzzy dynamic systems via LMI
Liu, XD
Zhang, QL
PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 2153 - 2158
[2] A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems
Fang, Chun-Hsiung
Liu, Yung-Sheng
Kau, Shih-Wei
Hong, Lin
Lee, Ching-Hsiang
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2006, 14 (03) : 386 - 397
[3] A new LMI-Based approach to relaxed quadratic stabilization of T-S fuzzy control systems
Liu, YS
Fang, CH
2003 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS, VOLS 1-5, CONFERENCE PROCEEDINGS, 2003, : 2255 - 2260
[4] LMI-based H2/H∞ mixed controller designs for T-S fuzzy systems
Liu, Guo-Yi
Zhang, Qing-Ling
Zhai, Ding
Kongzhi yu Juece/Control and Decision, 2007, 22 (09): : 1032 - 1034
[5] H∞ control for T-S fuzzy systems:: LMI approach
Liu, XD
Zhang, QL
PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2002, 1-6 : 987 - 988
[6] LMI-Based H∞ State-Feedback Control for T-S Time-Delay Discrete Fuzzy Bilinear System
Tsai, Shun-Hung
Hsiao, Ming-Ying
Li, Tzuu. -Hseng S.
Shih, Kai. -Shiuan
Chao, Chan. -Hong
Liu, Chi-Hua
2009 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN AND CYBERNETICS (SMC 2009), VOLS 1-9, 2009, : 1033 - +
[7] LMI-based Control Synthesis for Continuous-time T-S Fuzzy Systems
Wang, Dong
Chang, Xiao-Heng
PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 2707 - 2711
[8] New approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI
Liu, XD
Zhang, QL
AUTOMATICA, 2003, 39 (09) : 1571 - 1582
[9] H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI
Liu, XD
Zhang, QL
PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 2151 - 2152
[10] H2 control for T-S fuzzy systems:: an LMI approach
Gao, Xingquan
Chen, Hong
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 684 - 688

← 1 2 3 4 5 →