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
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
  • [41] Global stabilization of linear time-varying delay systems with bounded controls
    Phat, V. N.
    Niamsup, P.
    APPLIED MATHEMATICS LETTERS, 2015, 46 : 11 - 16
  • [42] New Stabilization Method for Linear Systems with Time-varying Input Delay
    Liu, Yun
    Hu, Li-Sheng
    2011 AMERICAN CONTROL CONFERENCE, 2011, : 4878 - 4883
  • [43] A novel approach on stabilization for linear systems with time-varying input delay
    Liu, Yun
    Hu, Li-Sheng
    Shi, Peng
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (10) : 5937 - 5947
  • [44] State Feedback Stabilization of Linear Time-Varying Systems on Time Scales
    Davis, John M.
    Gravagne, Ian
    Jackson, Billy
    Marks, Robert J.
    2010 42ND SOUTHEASTERN SYMPOSIUM ON SYSTEM THEORY (SSST), 2010,
  • [45] Delay-dependent stabilization for linear singular systems with time-varying state and input delays
    Bi, Shuhui
    Gao, Cunchen
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 506 - 510
  • [46] Robust stabilization for arbitrarily switched linear systems with time-varying delays and uncertainties
    Zhang, Lixian
    Shi, Peng
    Basin, Michael
    47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 5336 - 5341
  • [47] Delay Independent Truncated Predictor Feedback for Stabilization of Linear Systems with Multiple Time-varying Input Delays
    Wei, Yusheng
    Lin, Zongli
    2017 AMERICAN CONTROL CONFERENCE (ACC), 2017, : 5732 - 5737
  • [48] DELAY-INDEPENDENT STABILIZATION OF UNCERTAIN LINEAR-SYSTEMS OF NEUTRAL TYPE
    MA, WB
    ADACHI, N
    AMEMIYA, T
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1995, 84 (02) : 393 - 405
  • [49] On Delay-independent Stability Criteria for Linear Time-delay Systems
    Ai-Guo Wu~* Guang-Ren Duan Center for Control Theory and Guidance Technology
    International Journal of Automation & Computing, 2007, (01) : 95 - 100
  • [50] On Delay-independent Stability Criteria for Linear Time-delay Systems
    Wu, Ai-Guo
    Duan, Guang-Ren
    INTERNATIONAL JOURNAL OF AUTOMATION AND COMPUTING, 2007, 4 (01) : 95 - 100