H∞ Filtering for Markovian Switching System with Mode-Dependent Time-Varying Delays

被引:0
|
作者
P. Balasubramaniam
V. M. Revathi
机构
[1] Gandhigram Rural Institute—Deemed University,Department of Mathematics
来源
Circuits, Systems, and Signal Processing | 2014年 / 33卷
关键词
Markovian switching; Stochastic stability; filtering; Discrete delay; Mode-dependent delay; Linear matrix inequality (LMI);
D O I
暂无
中图分类号
学科分类号
摘要
This paper deals with the problem of H∞ filtering for Markovian switching systems. The system under consideration involves discrete and mode-dependent time-varying delays. The aim of this paper is to design a filter such that the filtering error system is stochastically stable with a prescribed H∞ disturbance attenuation level. Sufficient conditions for the existence of H∞ filters are expressed in terms of linear matrix inequalities (LMIs), which can be solved by using Matlab LMI control toolbox. Numerical examples are given by including a transmission control protocol (TCP) network model to illustrate the practical importance and effectiveness of the proposed main results.
引用
收藏
页码:347 / 369
页数:22
相关论文
共 50 条
  • [1] H∞ Filtering for Markovian Switching System with Mode-Dependent Time-Varying Delays
    Balasubramaniam, P.
    Revathi, V. M.
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2014, 33 (02) : 347 - 369
  • [2] Mode-Dependent Filtering for Stochastic Markovian Switching Genetic Regulatory Networks with Leakage and Time-Varying Delays
    Revathi, V. M.
    Balasubramaniam, P.
    Ratnavelu, K.
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2014, 33 (11) : 3349 - 3388
  • [3] L2-L∞ Filtering for neutral Markovian switching system with mode-dependent time-varying delays and partially unknown transition probabilities
    Balasubramaniam, P.
    Revathi, V. M.
    Park, Ju H.
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (17) : 9524 - 9542
  • [4] NEW RESULTS ON STABILITY OF STOCHASTIC NEURAL NETWORKS WITH MARKOVIAN SWITCHING AND MODE-DEPENDENT TIME-VARYING DELAYS
    Li, Peijuan
    Wang, Yueying
    Zhou, Pingfang
    Wang, Quanbao
    Duan, Dengping
    NEURAL NETWORK WORLD, 2014, 24 (01) : 103 - 116
  • [5] H∞ Filter Design For Markovian Jump Linear Systems with Mode-dependent Time-Varying Delays
    Zhang Xianming
    Xiao Shenping
    He Yong
    PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2, 2008, : 95 - +
  • [6] Exponential H∞ Filtering for Singular Markovian Jump Systems With Mixed Mode-Dependent Time-Varying Delay
    Wang, Yueying
    Shi, Peng
    Wang, Quanbao
    Duan, Dengping
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2013, 60 (09) : 2440 - 2452
  • [7] Delay-dependent H∞ filtering for stochastic systems with Markovian switching and mixed mode-dependent delays
    Shen, Hao
    Xu, Shengyuan
    Song, Xiaona
    Chu, Yuming
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (01) : 122 - 133
  • [8] Fault Detection Filtering for A Kind of Nonlinear Markovian Jump Systems With Mode-Dependent Time-Varying Delays and Parameter Uncertainties
    Zhuang Guangming
    Zhang Huasheng
    Zhao Junsheng
    Xia Jianwei
    2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 2871 - 2876
  • [9] Mode-dependent H∞ Filtering for Time-varying Delays Neutral Jump Systems Based on FWM Technique
    Zhao, Guowei
    Zhuang, Guangming
    Xia, Jianwei
    Sun, Wei
    Zhao, Junsheng
    Zhang, Minsong
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2021, 19 (06) : 2092 - 2104
  • [10] Asynchronous H∞ Filtering for Singular Markov Jump Neural Networks with Mode-Dependent Time-Varying Delays
    Yin, Yuexia
    Zhuang, Guangming
    Xia, Jianwei
    Chen, Guoliang
    NEURAL PROCESSING LETTERS, 2022, 54 (06) : 5439 - 5456