Exponential stabilization of switched linear systems subject to actuator saturation with stabilizable and unstabilizable subsystems

被引：13
|
作者：
Ma, Ruicheng [1 ]
Zhang, Hongrui [1 ]
Zhao, Shengzhi [1 ]
机构：
[1] Liaoning Univ, Sch Math, Shenyang 110036, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2021年 / 358卷 / 01期
基金：
中国国家自然科学基金;
关键词：
NONLINEAR-SYSTEMS; SINGULAR SYSTEMS; DELAY SYSTEMS; TIME-SYSTEMS; DESIGN;
D O I：
10.1016/j.jfranklin.2020.10.008
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 is concerned with the exponential stabilization of switched linear systems subject to actu-ator saturation with both stabilizable subsystems and unstabilizable subsystems for continuous-time case and discrete-time case, respectively. Sufficient conditions for the exponential stabilization under dwell time switching under the cases of continuous-time and discrete-time are established by using a novel class of multiple time-varying Lyapunov function. The existence conditions for stabilizing controllers are presented in terms of linear matrix inequalities (LMIs) for the continuous-time case and the discrete-time case, respectively. Two optimization problems are proposed for obtaining the maximal attraction region. The problem of exponential stabilization for switched system subject to actuator saturation with asynchronous switching controller is also studied. Several numerical examples are presented to prove the validity of the obtained results. (C) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：268 / 295
页数：28
相关论文
共 50 条
  • [31] Stability and performance analysis of switched linear systems subject to time delays and actuator saturation
    Feng, Yiwei
    Cai, Yudan
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2018, 49 (12) : 2725 - 2736
  • [32] Simultaneous Stabilization for Descriptor Systems Subject to Actuator Saturation
    Chen Yuepeng
    Xu Tianhe
    Zeng Chunnian
    Zhang Jingxin
    Zhou Zude
    PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 925 - 930
  • [33] Stabilization of Nonlinear Systems Subject to Uncertainties and Actuator Saturation
    Bezzaoucha, Souad
    Marx, Benoit
    Maquin, Didier
    Ragot, Jose
    2013 AMERICAN CONTROL CONFERENCE (ACC), 2013, : 2403 - 2408
  • [34] SEMIGLOBAL EXPONENTIAL STABILIZATION OF LINEAR-SYSTEMS SUBJECT TO INPUT SATURATION VIA LINEAR FEEDBACKS
    LIN, ZL
    SABERI, A
    SYSTEMS & CONTROL LETTERS, 1993, 21 (03) : 225 - 239
  • [35] Stabilization of networked stochastic systems subject to actuator saturation
    Zhang Xiaomei
    Tang Hongji
    Lu Guoping
    PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 3, 2007, : 33 - +
  • [36] Stabilization and L2-Gain Control for Switched Linear Systems with Actuator Saturation
    Chen Yonggang
    Xin Yunbing
    Fei Shumin
    Zhang Kanjian
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 2140 - 2145
  • [37] Practical stabilization of exponentially unstable linear systems subject to actuator saturation nonlinearity and disturbance
    Hu, TS
    Lin, ZL
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2001, 11 (06) : 555 - 588
  • [38] Finite gain stabilization of discrete-time linear systems subject to actuator saturation
    Bao, XY
    Lin, ZL
    Sontag, ED
    AUTOMATICA, 2000, 36 (02) : 269 - 277
  • [39] Robust Exponential Stabilization of Switched Linear Systems
    Raouf, J.
    Michalska, H.
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 4246 - 4251
  • [40] EXPONENTIAL STABILITY AND ASYNCHRONOUS STABILIZATION OF SWITCHED SYSTEMS WITH STABLE AND UNSTABLE SUBSYSTEMS
    Zhang, Hongbin
    Mao, Yanbing
    Gao, Yansong
    ASIAN JOURNAL OF CONTROL, 2013, 15 (05) : 1426 - 1433
12345