Extended LMI representatives for stability and stabilization of discrete-time Takagi-Sugeno fuzzy systems

被引：3
|
作者：
Zhang, Hui [1 ]
Liu, Mingxi [1 ]
Shi, Yang [1 ]
Sheng, Jie [2 ]
机构：
[1] Univ Victoria, Dept Mech Engn, Victoria, BC V8W 3P6, Canada
[2] Univ Washington, Inst Technol, Tacoma, WA 98402 USA
来源：
OPTIMAL CONTROL APPLICATIONS & METHODS | 2014年 / 35卷 / 06期
基金：
美国国家科学基金会;
关键词：
Takagi-Sugeno fuzzy system; parallel distributed compensation (PDC); LMI; PIECEWISE LYAPUNOV FUNCTIONS; NETWORKED CONTROL-SYSTEMS; OUTPUT-FEEDBACK CONTROL; H-INFINITY CONTROL; NONLINEAR-SYSTEMS; CONTROLLER SYNTHESIS; DYNAMIC-SYSTEMS; ROBUST STABILIZATION; MATRIX INEQUALITIES; DELAY SYSTEMS;
D O I：
10.1002/oca.2092
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we study the stability conditions and stabilization problem of Takagi-Sugeno systems under the discrete-time framework. By introducing slack matrices, we obtain extended stability condition in an LMI form. Both parallel distributed compensation (PDC) control law, and non-PDC control law are studied. Finally, we give an example to compare our results with other methods. Copyright (c) 2013 John Wiley & Sons, Ltd.
引用
收藏
页码：647 / 655
页数：9
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