Reachable set estimation for discrete-time switched system with application to time-delay system

被引：25
|
作者：
Fei, Zhongyang [1 ]
Guan, Chaoxu [1 ]
Shi, Peng [2 ,3 ]
机构：
[1] Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150001, Heilongjiang, Peoples R China
[2] Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA, Australia
[3] Victoria Univ, Coll Engn & Sci, Melbourne, Vic, Australia
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2018年 / 28卷 / 06期
基金：
中国国家自然科学基金; 中国博士后科学基金; 澳大利亚研究理事会;
关键词：
discrete-time switched system; mode-dependent average dwell time; reachable set estimation; time delay; AVERAGE DWELL TIME; MARKOVIAN JUMP SYSTEMS; LINEAR-SYSTEMS; VARYING DELAY; BOUNDED DISTURBANCES; STABILITY ANALYSIS; HYBRID SYSTEMS; STABILIZATION; INFINITY; DESIGN;
D O I：
10.1002/rnc.4028
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 addresses the problem of reachable set estimation and synthesis for a class of discrete-time switched linear systems with time delay and bounded peak disturbance. Combined with the feature of mode-dependent average dwell time switching, a new algorithm is developed to estimate the reachable set of switched system, which is both quasi-time-dependent and mode-dependent. Then, the proposed method is applied to time-delay system and a sufficient condition is presented to guarantee the asymptotic stability and estimate the bounding ellipsoid. Furthermore, the quasi-time-dependent controller is designed to stabilize the system and restrict the closed-loop system states to an ellipsoidal bound. Examples are presented to illustrate the effectiveness and advantages of the obtained theorems.
引用
收藏
页码：2468 / 2483
页数：16
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