Robust stabilization of Markovian jump linear singular systems with Wiener process

被引:0
|
作者
Raouf, J [1 ]
Boukas, EK [1 ]
机构
[1] Ecole Polytech, Dept Mech Engn, Stn CV, Montreal, PQ H3C 3A7, Canada
来源
PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6 | 2004年
关键词
jumping parameters; singular system; linear matrix inequality; stochastic stability; stabilization; Wiener process; norm-bounded uncertainties;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with the robust stability and the robust stabilizability problems for the class of uncertain Markovian jump continuous-time singular systems with Wiener process. Our attention is focused on developing sufficient conditions on robust stability and the design of a state feedback controller such that the robust stochastic stability is assured, even if the singular system incorporates both Wiener process disturbance and norm-bounded uncertainties. The obtained sufficient conditions are based on linear matrix inequality technique. Numerical examples are given to show the usefulness of the proposed results.
引用
收藏
页码:3170 / 3175
页数:6
相关论文
共 50 条
  • [21] Robust H∞ control for linear Markovian jump systems with unknown nonlinearities
    Boukas, EK
    Shi, P
    Nguang, SK
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 282 (01) : 241 - 255
  • [22] Robust stabilization of delayed singular systems with linear fractional parametric uncertainties
    Zhou, SS
    Lam, J
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2003, 22 (06) : 579 - 588
  • [23] Memory State Feedback Stabilization for Singular Markovian Jump Time-delay Systems
    Gao Huanli
    Xu Bugong
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 1149 - 1154
  • [24] Robust sampled-data control for Markovian jump linear systems
    Hu, Li-Sheng
    Shi, Peng
    Frank, Paul M.
    AUTOMATICA, 2006, 42 (11) : 2025 - 2030
  • [25] Observer-based controller design for linear singular systems with Markovian switching
    Raouf, J
    Boukas, EK
    2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 3619 - 3624
  • [26] Robust H∞ stabilization of stochastic hybrid systems with Wiener process
    Boukas, EK
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2005, 126 (01) : 63 - 84
  • [27] Finite-Time Stochastic Stability and Stabilization of Linear Markovian Jump Systems
    Zuo, Zhiqiang
    Liu, Yi
    Wang, Yijing
    2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 3174 - 3177
  • [28] High-gain stabilization of a class of multivariable Markovian jump linear systems
    Berdouzi, Driss
    El Bouhtouri, Abdelmoula
    El Hadri, Kamal
    2019 8TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC'19), 2019, : 353 - 359
  • [29] RELATIONS BETWEEN STOCHASTIC STABILITY OF MARKOVIAN JUMP LINEAR SYSTEMS AND STABILIZATION OF DETERMINISTIC SWITCHED LINEAR SYSTEMS
    Colaneri, Patrizio
    de Souza, Valeska Martins
    APPLIED AND COMPUTATIONAL MATHEMATICS, 2008, 7 (02) : 179 - 191
  • [30] Robust H∞ filtering for singular Markovian jump systems via decoupling and substitution principles
    Tian, Yu-Feng
    Wang, Zhan-Shan
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (08) : 3179 - 3194