Stability and performance of discrete-time switched linear systems

被引:22
|
作者
Deaecto, Grace S. [1 ]
Geromel, Jose C. [2 ]
机构
[1] Univ Estadual Campinas, DMC, Sch Mech Engn, BR-13083860 Campinas, SP, Brazil
[2] Univ Estadual Campinas, DCA, Sch Elect & Comp Engn, BR-13083852 Campinas, SP, Brazil
基金
巴西圣保罗研究基金会;
关键词
Switched linear systems; Stability analysis; H-2 control design; STABILIZABILITY; STABILIZATION; DESIGN; STATE;
D O I
10.1016/j.sysconle.2018.05.006
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 deals with stability analysis and control design of discrete-time switched linear systems. The results are based on a new sufficient condition for exponential stabilizability. A performance index that falls in the context of H-2 norm is considered in order to optimize the joint design of a state dependent switching function and a state feedback control law. All control design conditions are expressed through linear matrix inequalities (LMIs). Comparisons with other available design procedures are made by means of examples borrowed from the literature. The present procedure is more amenable for control synthesis purposes and simpler from both theoretical and numerical viewpoints. Three state feedback control switching strategies are presented. The complexity of the control law is discussed. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:1 / 7
页数:7
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