New result on robust stability of switched systems with all subsystems unstable

被引：11
作者：
Xu, Xiaozeng [1 ]
Mao, Xiang [1 ]
Li, Yang [1 ]
Zhang, Hongbin [1 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Informat & Commun Engn, Chengdu 611731, Sichuan, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2019年 / 13卷 / 13期
基金：
中国国家自然科学基金;
关键词：
robust control; time-varying systems; linear systems; stability; asymptotic stability; Lyapunov methods; discrete time systems; uncertain systems; continuous time systems; stability problem; continuous-time switched systems; unstable subsystems; hybrid conditions; previous literature; novel time-dependent quadratic Lyapunov function approach; convex sufficient condition; switched linear systems; resulting condition; robust stability condition; stability result; BMADT conditions; LINEAR-SYSTEMS; STABILIZATION;
D O I：
10.1049/iet-cta.2019.0018
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 study, the stability problem of continuous-time switched systems composed fully of unstable subsystems is considered. Unlike the hybrid conditions derived in previous literature, this study used a novel time-dependent quadratic Lyapunov function approach and a convex sufficient condition for switched linear systems is proposed in the framework of bounded maximum average dwell time (BMADT). The resulting condition in this study is enforced using the sum of squares programming. Then, the condition for switched linear systems is extended to uncertain systems and the robust stability condition is derived. Moreover, a new stability result of continuous-time switched systems with all subsystems unstable is investigated based on the BMADT conditions. The simulation shows that it is better than the results in previous literature. Two numerical examples are proposed to illustrate the authors' approach.
引用
收藏
页码：2138 / 2145
页数：8
相关论文
共 38 条
  • [1] Agarwal N., 2018, STABILIZING GRAPH DE
  • [2] Balluchi A, 1997, IEEE DECIS CONTR P, P4720, DOI 10.1109/CDC.1997.649753
  • [3] Bishop BE, 1998, IEEE DECIS CONTR P, P1488, DOI 10.1109/CDC.1998.758498
  • [4] Convex conditions for robust stabilization of uncertain switched systems with guaranteed minimum and mode-dependent dwell-time
    Briat, Corentin
    [J]. SYSTEMS & CONTROL LETTERS, 2015, 78 : 63 - 72
  • [5] Stability analysis of deterministic and Stochastic switched systems via a comparison principle and multiple Lyapunov functions
    Chatterjee, D
    Liberzon, D
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2006, 45 (01) : 174 - 206
  • [6] Fei Z., 2018, IEEE T SYST MAN CYB, P1
  • [7] Quasi-Time-Dependent Output Control for Discrete-Time Switched System With Mode-Dependent Average Dwell Time
    Fei, Zhongyang
    Shi, Shuang
    Wang, Zhenhuan
    Wu, Ligang
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (08) : 2647 - 2653
  • [8] Asynchronous control for 2-D switched systems with mode-dependent average dwell time
    Fei, Zhongyang
    Shi, Shuang
    Zhao, Chang
    Wu, Ligang
    [J]. AUTOMATICA, 2017, 79 : 198 - 206
  • [9] Hybrid Dynamical Systems
    Goebel, Rafal
    Sanfelice, Ricardo G.
    Teel, Andrew R.
    [J]. IEEE CONTROL SYSTEMS MAGAZINE, 2009, 29 (02): : 28 - 93
  • [10] He X, 2013, INT CONF SYST SCI EN, P377, DOI 10.1109/ICSSE.2013.6614694
1234