H∞-control for linear time-delay systems with Markovian jumping parameters

被引：25
|
作者：
Benjelloun, K [1 ]
Boukas, EK
Costa, OLV
机构：
[1] Ecole Polytech Montreal, Dept Mech Engn, Montreal, PQ, Canada
[2] Univ Sao Paulo, Dept Elect Engn, Sao Paulo, Brazil
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2000年 / 105卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
Markovian jumping parameters; stochastic control; time-delay systems; Riccati equations; linear matrix inequalities; H-infinity-control problems; robustness;
D O I：
10.1023/A:1004661928043
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
This paper deals with the robust H-infinity-control problem for uncertain continuous-time linear time-delay systems with Markovian jumping parameters. Based on Lyapunov functional approach, a sufficient condition that assures the robust stochastic stabilizability and preserves the H-infinity-disturbance attenuation for the uncertain class of linear time-delay systems with Markovian jumping parameters is established. The uncertainties considered in this paper are of the norm-bounded type. A numerical example is given to demonstrate the usefulness of the results.
引用
收藏
页码：73 / 95
页数：23
相关论文
共 50 条
  • [21] Delay-dependent robust resilient H∞ control for uncertain singular time-delay system with Markovian jumping parameters
    Gao, Huanli
    Liu, Fuchun
    CLUSTER COMPUTING-THE JOURNAL OF NETWORKS SOFTWARE TOOLS AND APPLICATIONS, 2019, 22 : S6283 - S6294
  • [22] Robust H∞ control for uncertain descriptor time-delay systems with Markov jumping parameters
    Wu, Kai-yu
    Fu, Yan-ming
    Xie, Shi-jie
    WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 1275 - +
  • [23] Robust stability, stabilization and H∞ control of time-delay systems with Markovian jump parameters
    Mahmoud, MS
    Shi, P
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2003, 13 (08) : 755 - 784
  • [24] On　the　H∞　Control　for　Linear　Time-Delay　Systems
    Chen Wanyi (College of Mathematics
    Journal of Systems Engineering and Electronics, 1998, (03) : 23 - 28
  • [25] Robust guaranteed cost filtering for uncertain time-delay systems with Markovian jumping parameters
    Fu Yan-ming
    Duan Guang-ren
    PROCEEDINGS OF 2005 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1 AND 2, 2005, : 137 - 140
  • [26] Robust guaranteed cost filtering for uncertain time-delay systems with Markovian jumping parameters
    Fu, Yanming
    Zhang, Ying
    Duan, Guangren
    Chai, Qingxuan
    Journal of Systems Engineering and Electronics, 2005, 16 (04) : 852 - 857
  • [27] Delay-Dependent H∞ Control for Singular Time-Varying Delay Systems with Markovian Jumping Parameters
    Bai, Liping
    Zhou, Juan
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2022, 41 (12) : 6709 - 6732
  • [28] Regulator problem for linear discrete-time delay systems with Markovian jumping parameters and constrained control
    Daraoui, N
    Benzaouia, A
    Boukas, EK
    42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 2806 - 2810
  • [29] Robust Guaranteed Cost Observer for Uncertain Descriptor Time-delay Systems with Markovian Jumping Parameters
    FU YanMing DUAN GuangRen Center for Control Theory and Guidance TechnologyHarbin Institute of TechnologyHarbin
    自动化学报, 2005, (03) : 149 - 153
  • [30] H∞ filtering for discrete-time linear systems with Markovian jumping parameters
    de Souza, CE
    Fragoso, MD
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2003, 13 (14) : 1299 - 1316
12345