DELAY-DEPENDENT H∞ CONTROL FOR MARKOVIAN JUMP SYSTEMS WITH DELAYS VARYING IN A RANGE

被引：0
|
作者：
Wang, Guoliang [1 ]
Zhang, Qingling
机构：
[1] Northeastern Univ, Inst Syst Sci, Shenyang 110004, Liaoning Prov, Peoples R China
来源：
DYNAMIC SYSTEMS AND APPLICATIONS | 2010年 / 19卷 / 3-4期
关键词：
Markovian jump systems; time delay; H-infinity control; ROBUST STABILITY; LINEAR-SYSTEMS; STABILIZATION; DESIGN;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a new method for H-infinity state feedback controller design of Markovian jump systems with delays varying in a range Firstly, results on delay-dependent stability and H-infinity performance are established by exploiting a new Lyapunov functional making full use of information about time delay and Jensen's inequality Neither free weighting variables nor model transformation is used in the derivation of less conservative criteria Secondly, based on the obtained conditions, a new design of state feedback controller is developed in terms of linear matrix inequalities (LMIs) Finally, illustrative examples are presented to show the advantage and validity of the proposed approaches
引用
收藏
页码：611 / 623
页数：13
相关论文
共 50 条
  • [41] Delay-dependent stability of two-dimensional Markovian jump systems in the Roesser model with interval time-varying delays
    Zhang, Jing
    Peng, Dan
    Hua, Changchun
    [J]. PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 170 - 175
  • [42] Delay-dependent H∞ control for LPV systems with time delays
    Sun, Man
    Jia, Yingmin
    Du, Junping
    Yuan, Shiying
    [J]. PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2007, : 61 - 65
  • [43] New approach to delay-dependent H∞ control for continuous-time Markovian jump systems with time-varying delay and deficient transition descriptions
    Qiu, Jianbin
    Wei, Yanling
    Karimi, Hamid Reza
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (01): : 189 - 215
  • [44] Delay-dependent memory state-feedback H∞ control for singular Markovian jump time-delay systems
    Gao Huanli
    Liu Fuchun
    [J]. PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 76 - 81
  • [45] Delay-dependent robust H∞ control of uncertain linear systems with time-varying delays
    Palhares, RM
    Campos, CD
    Ekel, PY
    Leles, MCR
    D'Angelo, MFSV
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 50 (1-2) : 13 - 32
  • [46] New results on delay-dependent robust H∞ control for systems with time-varying delays
    Xu, SY
    Lam, J
    Zou, Y
    [J]. AUTOMATICA, 2006, 42 (02) : 343 - 348
  • [47] Delay-range-dependent H∞ filtering for two-dimensional Markovian jump systems with interval delays
    Zhang, R.
    Zhang, Y.
    Hu, C.
    Meng, M. Q. -H.
    He, Q.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2011, 5 (18): : 2191 - 2199
  • [48] Delay-Dependent H∞ Control for Networked Control Systems with Large Delays
    Wang, Yilin
    Karimi, Hamid Reza
    Xiang, Zhengrong
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [49] Delay-Dependent Passivity and Passification for Uncertain Singularly Perturbed Markovian Jump Systems with Time-Varying Delay
    Wang, Yueying
    Wang, Quanbao
    Zhou, Pingfang
    Duan, Dengping
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2012, 31 (06) : 2179 - 2194
  • [50] Delay-Dependent Passivity and Passification for Uncertain Singularly Perturbed Markovian Jump Systems with Time-Varying Delay
    Yueying Wang
    Quanbao Wang
    Pingfang Zhou
    Dengping Duan
    [J]. Circuits, Systems, and Signal Processing, 2012, 31 : 2179 - 2194
12345