H∞-Control for Linear Time-Delay Systems with Markovian Jumping Parameters

被引:0
|
作者
K. Benjelloun
E. K. Boukas
O. L. V. Costa
机构
[1] École Polytechnique de Montréal,Mechanical Engineering Department
[2] École Polytechnique de Montréal,Mechanical Engineering Department
[3] University of Sao Paulo,Electrical Engineering Department
来源
Journal of Optimization Theory and Applications | 2000年 / 105卷
关键词
Markovian jumping parameters; stochastic control; time-delay systems; Riccati equations; linear matrix inequalities; H; -control problems; robustness;
D O I
暂无
中图分类号
学科分类号
摘要
This paper deals with the robust H∞-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∞-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:22
相关论文
共 50 条
  • [21] Robust fault-tolerant H∞ control for a class of linear uncertain time-delay systems
    Wang Qiong
    Zhang Hui-zhen
    PROCEEDINGS OF THE 2007 CHINESE CONTROL AND DECISION CONFERENCE, 2007, : 123 - 126
  • [22] H∞ control of linear singular time-delay systems subject to impulsive perturbations
    Chen, Wu-Hua
    Jiang, Renhong
    Lu, Xiaomei
    Zheng, Wei Xing
    IET CONTROL THEORY AND APPLICATIONS, 2017, 11 (03) : 420 - 428
  • [23] Delay-dependent H∞ filtering for singular Markovian jump time-delay systems
    Wu, Zhengguang
    Su, Hongye
    Chu, Jian
    SIGNAL PROCESSING, 2010, 90 (06) : 1815 - 1824
  • [24] Adaptive sliding mode control for a class of uncertain Markovian jump systems with time-delay
    He, Youguo
    Jing, Yuanwei
    2007 IEEE INTERNATIONAL CONFERENCE ON MECHATRONICS AND AUTOMATION, VOLS I-V, CONFERENCE PROCEEDINGS, 2007, : 1581 - 1586
  • [25] Transformation methods for mixed H-2/H-infinity control of jumping time-delay systems
    Mahmoud, Magdi S.
    Ismail, Abdulla
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2007, 14 (03): : 435 - 457
  • [26] Mixed H2/H∞ control of markovian jump time-delay systems with uncertain transition probabilities
    Qiu, Li
    Zhang, Bo
    Xu, Gang
    Pan, Jianfei
    Yao, Fengqi
    INFORMATION SCIENCES, 2016, 373 : 539 - 556
  • [27] Guaranteed cost control of uncertain discrete linear time-delay systems
    Yu, L
    Gao, FR
    Xue, A
    PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2000, : 2481 - 2485
  • [28] H output tracking control over networked control systems with Markovian jumping parameters
    Wu, Ying
    Wu, Yanpeng
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2016, 37 (06) : 1162 - 1174
  • [29] H-infinity-control for Markovian jumping linear systems with parametric uncertainty
    Shi, P
    Boukas, EK
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1997, 95 (01) : 75 - 99
  • [30] Delay-dependent memory state-feedback H∞ control for singular Markovian jump time-delay systems
    Gao Huanli
    Liu Fuchun
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 76 - 81