State-dependent switching control of delayed switched systems with stable and unstable modes

被引：83
|
作者：
Yang, Dan [1 ]
Li, Xiaodi [1 ,2 ]
Shen, Jianhua [3 ]
Zhou, Zhaojie [1 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
[2] Shandong Normal Univ, Sch Phys & Elect, Shandong Prov Key Lab Med Phys & Image Proc Techn, Jinan, Shandong, Peoples R China
[3] Hangzhou Normal Univ, Dept Math, Hangzhou, Zhejiang, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 16期
基金：
中国国家自然科学基金;
关键词：
Lyapunov functional; stability; state-dependent switching; switched systems; time delay; TIME-VARYING DELAY; LINEAR-SYSTEMS; NEURAL-NETWORKS; NONLINEAR-SYSTEMS; IMPULSIVE CONTROL; TRACKING CONTROL; STABILITY; STABILIZATION; DESIGN; STABILIZABILITY;
D O I：
10.1002/mma.5209
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the problem of switching stabilization for a class of delayed switched systems is studied by using state-dependent switching control. Some sufficient conditions for asymptotic stability of delayed switched systems are derived, which are based on the Lyapunov functional method. The derived stability conditions can be applied for delayed switched systems with partial or all unstable modes. Moreover, a typical time delay called leakage delay existing in the negative feedback term of a system are also considered. Two numerical examples, that is, a switched system with two unstable modes and a switched system with delayed feedback control, are given to show the effectiveness of the main results.
引用
收藏
页码：6968 / 6983
页数：16
相关论文
共 50 条
  • [41] Dissipativity of switched positive systems via state-dependent switching with dwell time
    Wang, Peng
    Wu, Caiyun
    Zhao, Jun
    2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 1965 - 1969
  • [42] Asynchronous feedback passification for discrete-time switched systems under state-dependent switching with dwell time constraint
    Zhang, Siyuan
    Nie, Hong
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2020, 34 (04) : 427 - 443
  • [43] State-dependent Switching Stabilization of Fourth-order Switched Systems With Fully Unstable Subsystems
    Gao, Ping
    Zhou, Yusheng
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2023, 21 (08) : 2634 - 2647
  • [44] Stability of Stochastic Nonlinear Systems With State-Dependent Switching
    Wu, Zhaojing
    Cui, Mingyue
    Shi, Peng
    Karimi, Hamid Reza
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (08) : 1904 - 1918
  • [45] Stabilization of switched systems with all modes unstable via periodical switching laws ?
    Lu, An-Yang
    Yang, Guang-Hong
    AUTOMATICA, 2020, 122
  • [46] Adaptive Control for a Class of Switched Linear Systems Using State-Dependent Switching
    Xudong Zhao
    Yunfei Yin
    Haijiao Yang
    Ren Li
    Circuits, Systems, and Signal Processing, 2015, 34 : 3681 - 3695
  • [47] Finite-time stabilization of a class of cascade nonlinear switched systems under state-dependent switching
    Su, Qingyu
    Jia, Xiaolong
    Liu, Honghai
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 289 : 172 - 180
  • [48] Stabilization of positive switched linear systems under state-dependent switching
    Ju, Yanhao
    Sun, Yuangong
    2019 19TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS 2019), 2019, : 1148 - 1151
  • [49] Stabilization of switched affine systems with disturbed state-dependent switching laws
    Kader, Zohra
    Fiter, Christophe
    Hetel, Laurentiu
    Belkoura, Lotfi
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (02) : 582 - 595
  • [50] L2-gain analysis for switched systems with a state-dependent switching signal
    Soodavi, M.
    Ghaisari, J.
    Sheikholeslam, F.
    IET CONTROL THEORY AND APPLICATIONS, 2011, 5 (13): : 1523 - 1527
12345