Stabilization for a Class of Switched Nonlinear Systems With Novel Average Dwell Time Switching by T-S Fuzzy Modeling

被引：189

作者：

Zhao, Xudong ^{[1
,2
]}

Yin, Yunfei ^{[1
]}

Niu, Ben ^{[3
]}

Zheng, Xiaolong ^{[1
]}

机构：

[1] Bohai Univ, Coll Engn, Jinzhou 121013, Peoples R China

[2] Chongqing SANY High Intelligent Robots Co Ltd, Chongqing 401120, Peoples R China

[3] Bohai Univ, Coll Math & Phys, Jinzhou 121013, Peoples R China

来源：

IEEE TRANSACTIONS ON CYBERNETICS | 2016年 / 46卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Average dwell time (ADT); multiple quadratic Lyapunov function; switched nonlinear systems; Takagi-Sugeno (T-S) fuzzy modeling; POSITIVE LINEAR-SYSTEMS; STABILITY ANALYSIS; DESIGN;

D O I：

10.1109/TCYB.2015.2458896

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, the problem of switching stabilization for a class of switched nonlinear systems is studied by using average dwell time (ADT) switching, where the subsystems are possibly all unstable. First, a new concept of ADT is given, which is different from the traditional definition of ADT. Based on the new proposed switching signals, a sufficient condition of stabilization for switched nonlinear systems with unstable subsystems is derived. Then, the T-S fuzzy modeling approach is applied to represent the underlying nonlinear system to make the obtained condition easily verified. A novel multiple quadratic Lyapunov function approach is also proposed, by which some conditions are provided in terms of a set of linear matrix inequalities to guarantee the derived T-S fuzzy system to be asymptotically stable. Finally, a numerical example is given to demonstrate the effectiveness of our developed results.

引用

页码：1952 / 1957

页数：6

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