Delay-independent stabilization of linear systems with time-varying delayed state and uncertainties

被引:23
|
作者
Chen, Cheng-Yi [1 ]
Lee, Chien-Hua [1 ]
机构
[1] Cheng Shiu Univ, Dept Elect Engn, Niaosung 83347, Kaohsiung Cty, Taiwan
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2009年 / 346卷 / 04期
关键词
Stabilization; Time-varying state delay; Uncertainty; RICCATI EQUATION; CONTROLLER; MODEL;
D O I
10.1016/j.jfranklin.2008.11.005
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The problem of robust stabilization for a class of dynamic systems with time-varying state delay as well as parametric and input uncertainties is considered in this paper. Several delay-independent stabilizability criteria and memoryless state feedback controllers are presented to guarantee the asymptotic stability of the closed-loop uncertain time-delay systems. It is shown that if all uncertainties and delay terms are matched, then the mentioned systems can always be stabilized, or can be stabilized with a specified decaying rate. (c) 2009 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:378 / 390
页数:13
相关论文
共 50 条
  • [31] An L∞ performance control for time-delay systems with time-varying delays: delay-independent approach via ellipsoidal D-invariance
    Choi, Hyung Tae
    Kim, Jung Hoon
    AIMS MATHEMATICS, 2024, 9 (11): : 30384 - 30405
  • [32] State and output feedback control of switched linear systems with time-varying delay
    Bolzern, Paolo
    Deaecto, Grace S.
    Galbusera, Luca
    2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 1578 - 1583
  • [33] On strong stabilization for linear continuous time time-varying systems
    Feintuch, Avraham
    SYSTEMS & CONTROL LETTERS, 2008, 57 (09) : 691 - 695
  • [34] Quadratic stabilization of uncertain linear time-varying systems
    Chen, WY
    Tu, FS
    PROCEEDINGS OF THE 35TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1996, : 3362 - 3367
  • [35] The stabilization problem for discrete time-varying linear systems
    Lu, Yufeng
    Xu, Xiaoping
    SYSTEMS & CONTROL LETTERS, 2008, 57 (11) : 936 - 939
  • [36] On the strong stabilization of slowly time-varying linear systems
    Feintuch, Avraham
    SYSTEMS & CONTROL LETTERS, 2012, 61 (01) : 112 - 116
  • [37] The strongly simultaneous stabilization of linear time-varying systems
    Liu, L. (beth.liu@yahoo.com.cn), 1600, ICIC Express Letters Office, Tokai University, Kumamoto Campus, 9-1-1, Toroku, Kumamoto, 862-8652, Japan (07):
  • [38] Quadratic stabilizability of multi-input linear systems with structural independent time-varying uncertainties
    Hu, SQ
    Dai, QH
    Jing, YW
    Zhang, SY
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (05) : 699 - 703
  • [39] Output regulation of linear time-varying delay systems
    Xu, Yong
    Bu, Bin
    Gao, Jinfeng
    Pan, Haipeng
    2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 260 - 265
  • [40] Stabilization Analysis of Time-Varying Hamiltonian Systems with Input Delay
    Sun, Weiwei
    Fu, Baozeng
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 6124 - 6129