A State-Dependent Switching Law to Quadratically Stabilise Switched Linear Systems

被引：0
|
作者：
Townsend, Christopher [1 ]
Seron, Maria [1 ]
De Dona, Jose [1 ]
机构：
[1] Univ Newcastle, Sch Elect Engn & Comp Sci, Callaghan, NSW 2308, Australia
来源：
2014 4TH AUSTRALIAN CONTROL CONFERENCE (AUCC) | 2014年
关键词：
LYAPUNOV FUNCTIONS; HYBRID SYSTEMS;
D O I：
暂无
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 generalises a Lyapunov based control strategy, developed in [4], which stabilises a switched linear system consisting of a pair of sub-systems, to a system consisting of arbitrarily many sub-systems. It is shown that the existence of a stable convex combination of the system matrices is a sufficient condition for the proposed control law to stabilise the switched system. Three examples are given of the proposed control law stabilising a system.
引用
收藏
页码：233 / 238
页数：6
相关论文
共 50 条
  • [1] On stabilizability of switched positive linear systems under state-dependent switching
    Ding, Xiuyong
    Liu, Xiu
    APPLIED MATHEMATICS AND COMPUTATION, 2017, 307 : 92 - 101
  • [2] 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
  • [3] Event-triggered control of switched linear systems with state-dependent switching law and unstabilizable modes
    Zeng, Ze-Hong
    Wang, Yan-Wu
    Liu, Xiao-Kang
    Liu, Zhi-Wei
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2024, 34 (10) : 6846 - 6862
  • [4] Stability analysis for switched positive linear systems under state-dependent switching
    Xiuyong Ding
    Xiu Liu
    International Journal of Control, Automation and Systems, 2017, 15 : 481 - 488
  • [5] Stability analysis for switched positive linear systems under state-dependent switching
    Ding, Xiuyong
    Liu, Xiu
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2017, 15 (02) : 481 - 488
  • [6] Adaptive Control for a Class of Switched Linear Systems Using State-Dependent Switching
    Zhao, Xudong
    Yin, Yunfei
    Yang, Haijiao
    Li, Ren
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2015, 34 (11) : 3681 - 3695
  • [7] 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
  • [8] State and dynamic output feedback control of switched linear systems via a mixed time and state-dependent switching law
    Zhai, Ding
    Lu, An-Yang
    Li, Jing-Hao
    Zhang, Qing-Ling
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2016, 22 : 228 - 248
  • [9] Stability of Delayed Switched Systems With State-Dependent Switching
    Chao Liu
    Zheng Yang
    Xiaoyang Liu
    Xianying Huang
    IEEE/CAA Journal of Automatica Sinica, 2020, 7 (03) : 872 - 881
  • [10] A notion of passivity for switched systems with state-dependent switching
    David J. HILL
    Control Theory and Technology, 2006, (01) : 70 - 75
12345