A systematic approach to improve multiple Lyapunov function stability and stabilization conditions for fuzzy systems

被引：235
|
作者：
Mozelli, Leonardo A. [1 ]
Palhares, Reinaldo M. [1 ]
Avellar, Gustavo S. C. [1 ]
机构：
[1] Univ Fed Minas Gerais, Dept Elect Engn, BR-31270010 Belo Horizonte, MG, Brazil
来源：
INFORMATION SCIENCES | 2009年 / 179卷 / 08期
关键词：
Takagi-Sugeno (TS) fuzzy systems; Linear matrix inequalities (LMIs); Fuzzy Lyapunov function; Fuzzy control; Stabilization; Stability; H-INFINITY CONTROL; MASTER-SLAVE SYNCHRONIZATION; FEEDBACK CONTROLLER-DESIGN; LMI-BASED DESIGNS; NONLINEAR-SYSTEMS; DYNAMIC-SYSTEMS; QUADRATIC STABILITY; LURE SYSTEMS; ROBUST; REGULATORS;
D O I：
10.1016/j.ins.2008.12.002
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 presents a systematic approach for decreasing conservativeness in stability analysis and control design for Takagi-Sugeno (TS) systems. This approach is based on the idea of multiple Lyapunov functions together with simple techniques for introducing slack matrices. Unlike some previous approaches based on multiple Lyapunov functions, both the stability and the stabilization conditions are written as linear matrix inequality (LMI) problems. The proposed approach reduces the number of inequalities and guarantees extra degrees of freedom to the LMI problems. Numeric examples illustrate the effectiveness of this method. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：1149 / 1162
页数：14
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