Admissibility Analysis and H∞ Control for Singular Markovian Jump Systems with Time-varying Delay

被引：0
|
作者：
Fu Lei [1 ]
Ma Yuechao [1 ,2 ]
机构：
[1] Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Peoples R China
[2] Yanshan Univ, Coll Sci, Qinhuangdao 066004, Peoples R China
来源：
PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016 | 2016年
关键词：
Singular Markovian jump systems(SM[!text type='JS']JS[!/text]s); H-infinity control; Time-varying delay; Linear matrix inequality(LMI); ROBUST STABILITY; STABILIZATION;
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 H-infinity control for singular Markovian jump systems(SMJSs) with time-varying delay. Using the Lyapunov functional method and the free-weighting matrix method, a delay-dependent LMI condition is derived, which ensures the considered system to be regular, impulse free and stochastically stable with given H-infinity performance index gamma. Based on the condition, the explicit expression of the desired controller gains is also presented by solving a set of LMIs. Finally, some numerical examples are provided to show the effectiveness of the proposed approach.
引用
收藏
页码：1672 / 1677
页数：6
相关论文
共 50 条
  • [1] On design of H∞ control for singular stochastic systems with Markovian jump and time-varying delay
    Du, Yuanhua
    Hong, Shouming
    [J]. 2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2015, : 2031 - 2036
  • [2] H∞ filtering for a class of singular Markovian jump systems with time-varying delay
    Long, Shaohua
    Zhong, Shouming
    Liu, Zijian
    [J]. SIGNAL PROCESSING, 2012, 92 (11) : 2759 - 2768
  • [3] Exponential estimates and H∞ control for singular Markovian jump systems with interval time-varying delay
    Lin, J.
    Fei, S.
    Shen, J.
    Long, F.
    [J]. PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2010, 224 (I4) : 437 - 456
  • [4] Robust guaranteed cost control for singular Markovian jump systems with time-varying delay
    Wang, Yueying
    Wang, Quanbao
    Zhou, Pingfang
    Duan, Dengping
    [J]. ISA TRANSACTIONS, 2012, 51 (05) : 559 - 565
  • [5] Stochastic admissibility and stabilization of singular Markovian jump systems with multiple time-varying delays
    Baoping Jiang
    Cunchen Gao
    Yonggui Kao
    [J]. International Journal of Control, Automation and Systems, 2016, 14 : 1280 - 1288
  • [6] Stochastic Admissibility and Stabilization of Singular Markovian Jump Systems with Multiple Time-varying Delays
    Jiang, Baoping
    Gao, Cunchen
    Kao, Yonggui
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2016, 14 (05) : 1280 - 1288
  • [7] Relaxed criteria on admissibility analysis for singular Markovian jump systems with time delay
    Liang, Xingyue
    Xu, Shengyuan
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2024, 53
  • [8] Delay-dependent stochastic admissibility for a class of discrete-time nonlinear singular Markovian jump systems with time-varying delay
    Long, Shaohua
    Zhong, Shouming
    Zhu, Hong
    Xiong, Lianglin
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (03) : 673 - 685
  • [9] Delay-Range-Dependent Admissibility Analysis for Singular Systems with Time-Varying Delay and Markovian Jumping Parameters
    Lu Hongqian
    [J]. 2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 5443 - 5446
  • [10] Delay-Dependent H∞ Control for Descriptor Markovian Jump Systems with Time-Varying Delay
    Li, Jinghao
    Zhang, Qingling
    Zhai, Ding
    Zhang, Yi
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2013,
12345