QUADRATIC PERFORMANCE ANALYSIS OF SWITCHED AFFINE TIME-VARYING SYSTEMS

被引：9

作者：

Li, Wenzhi ^{[1
]}

Huang, Chi ^{[1
]}

Zhai, Guisheng ^{[2
]}

机构：

[1] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Shanxi, Peoples R China

[2] Shibaura Inst Technol, Dept Math Sci, Saitama 3378570, Japan

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2018年 / 28卷 / 03期

基金：

美国国家科学基金会;

关键词：

switched affine systems; time-varying systems; quadratic stabilization; tracking; L-2; gain; switching law; differential LMIs; observers; H-INFINITY CONTROL; DISTURBANCE ATTENUATION; LINEAR-SYSTEMS; CONTROL DESIGN; STABILITY; STABILIZABILITY; STABILIZATION; HYBRID; STATE;

D O I：

10.2478/amcs-2018-0032

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We analyze quadratic performance for switched systems which are composed of a finite set of affine time-varying subsystems, where both subsystem matrices and affine vectors are switched, and no single subsystem has desired quadratic performance. The quadratic performance indexes we deal with include stability, tracking and L-2 gain. We show that if a linear convex combination of subsystem matrices is uniformly Hurwitz and another convex combination of affine vectors is zero, then we can design a state-dependent switching law (state feedback) and an output-dependent switching law (output feedback) such that the entire switched affine system is quadratically stable at the origin. In the case where the convex combination of affine vectors is nonzero, we show that the tracking control problem can be posed and solved using a similar switching strategy. Finally, we consider the L-2 gain analysis problem for the switched affine time-varying systems under state feedback.

引用

页码：429 / 440

页数：12

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