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
  • [21] Dwell-Time-Based Exponential Stabilization of Switched Positive Systems With Actuator Saturation
    Ma, Ruicheng
    Chen, Qi
    Zhao, Shengzhi
    Fu, Jun
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2021, 51 (12): : 7685 - 7691
  • [22] Stabilization of Nonlinear Systems Subject to Actuator Saturation
    Bezzaoucha, Souad
    Marx, Benoit
    Maquin, Didier
    Ragot, Jose
    2013 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ - IEEE 2013), 2013,
  • [23] Output-feedback control for switched linear systems subject to actuator saturation
    Duan, Chang
    Wu, Fen
    INTERNATIONAL JOURNAL OF CONTROL, 2012, 85 (10) : 1532 - 1545
  • [24] Stabilization of discrete-time switched large scale systems subject to actuator saturation
    El Younsi, Laila
    Benzaouia, Abdellah
    2019 8TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC'19), 2019, : 141 - 146
  • [25] Stability Analysis and Stabilization of Switched Discrete-time Systems Subject to Actuator Saturation
    Ma, Yong-Mei
    Yang, Guang-Hong
    2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 3825 - 3829
  • [26] Robust stabilization of discrete-time switched uncertain systems subject to actuator saturation
    Yu, Junyan
    Xie, Guangming
    Wang, Long
    2007 AMERICAN CONTROL CONFERENCE, VOLS 1-13, 2007, : 113 - 116
  • [27] Exponential stabilization and l1-gain analysis for discrete-time switched positive systems subject to actuator saturation
    Shen Jian
    Wang Weiqun
    PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 2349 - 2354
  • [28] 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, : 1926 - 1931
  • [29] Disturbance rejection of switched systems subject to actuator saturation
    Yu, Junyan
    Wang, Long
    Xie, Guangming
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2010, 32 (06) : 603 - 634
  • [30] Robust Stabilization of Linear Switched Systems with Unstable Subsystems
    Rodriguez-Licea, Martin-Antonio
    Perez-Pinal, Francisco-J
    Prado Olivares, Juan
    APPLIED SCIENCES-BASEL, 2018, 8 (12):
12345