Stability analysis of discrete-time switched nonlinear systems via T-S fuzzy model approach

被引：20
|
作者：
Liu, Lei [1 ]
Yin, Yunfei [1 ]
Wang, Jiahui [2 ]
Wu, Qinghui [1 ]
机构：
[1] Bohai Univ, Coll Engn, Jinzhou 121013, Liaoning, Peoples R China
[2] Bohai Univ, Coll Informat Sci & Technol, Jinzhou 121013, Liaoning, Peoples R China
来源：
NEUROCOMPUTING | 2016年 / 173卷
关键词：
Discrete-time switched systems; Fuzzy control systems; Multiple Lyapunov function; LINEAR-SYSTEMS; NETWORKED CONTROL; STABILIZATION; CRITERIA; RESET;
D O I：
10.1016/j.neucom.2015.08.007
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 problem of a class of discrete-time switched nonlinear systems with unstable subsystems. The Takagi and Sugeno (T-S) fuzzy model is applied to close the discrete-time nonlinear subsystems. By utilizing the multiple Lyapunov functions (MLFs) and mode-dependent average dwell time (MDADT) method, the stability condition for discrete-time switched nonlinear systems comprising stable and unstable nonlinear subsystems is obtained. Then, based on the result for discrete-time switched nonlinear systems, the computable sufficient condition in terms of a set of linear matrix inequalities is derived to guarantee exponential stable of the switched T-S fuzzy system. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：1967 / 1971
页数：5
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