Tracking control for switched time-varying delays systems with stabilizable and unstabilizable subsystems

被引：44
|
作者：
Li, Qing-Kui [1 ]
Zhao, Jun [1 ,2 ]
Dimirovski, Georgi M. [3 ]
机构：
[1] Northeastern Univ, Sch Informat Sci & Engn, Minist Educ, Key Lab Integrated Automat Proc Ind, Shenyang 110004, Peoples R China
[2] Australian Natl Univ, Res Sch Informat Sci & Engn, Dept Informat Engn, Canberra, ACT 0200, Australia
[3] Dogus Univ, Dept Comp Engn, TR-34722 Istanbul, Turkey
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2009年 / 3卷 / 02期
关键词：
Switched systems; Time-delays systems; Tracking control; LINEAR-SYSTEMS; L-2-GAIN;
D O I：
10.1016/j.nahs.2008.11.004
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We investigate the tracking control problem for switched linear time-varying delays systems with stabilizable and unstabilizable subsystems. Sufficient conditions for the solvability of the tracking control problem are developed. The tracking control problem of a switched time-varying delays system with stabilizable and unstabilizable subsystems is solvable if the stabilizable and unstabilizable subsystems satisfy certain conditions and admissible switching law among them. Average dwell time approach and piecewise Lyapunov functional methods are utilized to the stability analysis and controller design. By introducing the integral controllers and free weighting matrix scheme, some restricted assumptions imposing on the switched systems are avoided. A simulation example shows the effectiveness of the proposed method. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：133 / 142
页数：10
相关论文
共 50 条
  • [1] Robust Output Regulation of Switched Nonlinear Systems with Stabilizable and Unstabilizable Subsystems
    Long, Lijun
    Zhao, Jun
    2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 2142 - 2146
  • [2] Robust tracking control for switched linear systems with time-varying delays
    Li, Q. -K.
    Zhao, J.
    Dimirovski, G. M.
    IET CONTROL THEORY AND APPLICATIONS, 2008, 2 (06): : 449 - 457
  • [3] Tracking control for switched nonlinear systems with multiple time-varying delays
    Zhai, Jun-yong
    Wang, Bin
    Fei, Shu-min
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2015, 17 : 44 - 55
  • [4] Robust tracking control for switched linear systems with time-varying delays
    Li, Qing-Kui
    Dimirovski, Georgi M.
    Zhao, Jun
    2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2008, : 1576 - +
  • [5] A Solution to the Tracking Control Problem for Switched Linear Systems with Time-Varying Delays
    Li, Qing-Kui
    Dimirovski, Georgi M.
    Zhao, Jun
    47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 5348 - 5353
  • [6] Output tracking control of switched nonlinear systems with multiple time-varying delays
    Ramya, L. Susana
    Sakthivel, R.
    Leelamani, A.
    Dhanalakshmi, P.
    Sakthivel, N.
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2018, 49 (11) : 2373 - 2384
  • [7] Exponential stabilization of switched linear systems subject to actuator saturation with stabilizable and unstabilizable subsystems
    Ma, Ruicheng
    Zhang, Hongrui
    Zhao, Shengzhi
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2021, 358 (01): : 268 - 295
  • [8] H∞ tracking control for uncertain switched stochastic systems with mixed time-varying delays
    Deng, Yalin
    Zhang, Huasheng
    Xia, Jianwei
    Sun, Wei
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2022, 32 (10) : 6068 - 6085
  • [9] Exponential stabilization of switched linear control systems with unstabilizable subsystems
    Zhang, LJ
    Li, CW
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 898 - 905
  • [10] A Switched System Approach to Networked Control Systems with Time-Varying Delays
    Zhang, W. A.
    Yu, L.
    Song, H. B.
    PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 7, 2008, : 424 - 427
12345