Stabilization of switched systems with polytopic uncertainties via composite quadratic functions

被引：9

作者：

Zhang, Xia ^{[1
,2
]}

Gao, Yan ^{[3
]}

Xia, Zun-Quan ^{[2
]}

机构：

[1] Zhejiang Univ Finance & Econ, Dongfang Coll, Sch Informat, Haining 314408, Peoples R China

[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[3] Shanghai Univ Sci & Technol, Sch Management, Shanghai 200093, Peoples R China

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2014年 / 11卷

基金：

中国国家自然科学基金;

关键词：

Switched systems; Polytopic uncertain systems; Nonsmooth analysis; Composite quadratic functions; Bilinear matrix inequality (BMI); LYAPUNOV-FUNCTIONS; LINEAR-SYSTEMS; STABILITY; STABILIZABILITY; COMPUTATION;

D O I：

10.1016/j.nahs.2013.06.002

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 studied the stabilization of switched linear systems with polytopic uncertainties by employing the methods of nonsmooth analysis and the composite quadratic Lyapunov functions. Above all, the minimum quadratic functions and the directional derivatives along the vertex directions of subsystems are applied to construct the new switching law. Then, some sufficient conditions for stabilization of switched linear systems are established considering the sliding modes and the directional derivatives along sliding modes. Finally, numerical examples are given to demonstrate the effectiveness of the synthesis results. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：71 / 83

页数：13

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