Delay-range-dependent and delay-distribution-independent stability criteria for discrete-time singular Markovian jump systems

被引：10
|
作者：
Weng, Falu [1 ,2 ]
Mao, Weijie [1 ]
机构：
[1] Zhejiang Univ, Inst Cyber Syst & Control, State Key Lab Ind Control Technol, Hangzhou 310027, Zhejiang, Peoples R China
[2] Jiangxi Univ Sci & Technol, Nanchang 341000, Jiangxi, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2013年 / 11卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Delay partitioning technique; linear matrix inequality (LMI); singular systems; stochastic stability; time-varying delay; H-INFINITY CONTROL; NETWORKED CONTROL-SYSTEMS; GUARANTEED COST CONTROL; SLIDING-MODE CONTROL; ROBUST STABILITY; CONTROLLER-DESIGN; NEURAL-NETWORKS; LINEAR-SYSTEMS; STABILIZATION;
D O I：
10.1007/s12555-012-0200-4
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problem of delay-range-dependent stability for discrete-time singular Markovian jump systems with time-varying delay is discussed in this paper. Based on time-delay partitioning technique, a new delay-range-dependent Lyapunov functional is established firstly. Then, based on the probability idea, LMIs-based delay-range-dependent and delay-distribution-independent conditions are proposed for the system to be regular, causal, and stochastically stable. Furthermore, in terms of solving a set of coupled LMIs, the stabilizing controller is obtained such that the closed-loop system is regular, causal, and stochastically stable. Finally, numerical examples are given to show the results derived from the proposed methods are less conservative than the existing ones.
引用
收藏
页码：233 / 242
页数：10
相关论文
共 50 条
  • [21] Delay-dependent H∞ control for singular Markovian jump systems with time delay
    Wang, Junru
    Wang, Huijiao
    Xue, Anke
    Lu, Renquan
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2013, 8 : 1 - 12
  • [22] Delay-dependent H∞ control for singular Markovian jump systems with time delay
    Wu, Zhengguang
    Su, Hongye
    Chu, Jian
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2009, 30 (05): : 443 - 461
  • [23] Delay-dependent H∞ filtering for discrete-time singular Markovian jump systems with time-varying delay and partially unknown transition probabilities
    Lin, Jinxing
    Fei, Shumin
    Shen, Jiong
    SIGNAL PROCESSING, 2011, 91 (02) : 277 - 289
  • [24] Delay-range-dependent stability criteria for delayed discrete-time Lur’e system with sector-bounded nonlinearities
    Wenyong Duan
    Chenxiao Cai
    Nonlinear Dynamics, 2014, 78 : 135 - 145
  • [25] Delay-range-dependent stability criteria for delayed discrete-time Lur'e system with sector-bounded nonlinearities
    Duan, Wenyong
    Cai, Chenxiao
    NONLINEAR DYNAMICS, 2014, 78 (01) : 135 - 145
  • [26] On stochastic stabilization of discrete-time Markovian jump systems with delay in state
    Shi, P
    Boukas, EK
    Shi, Y
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2003, 21 (04) : 935 - 951
  • [27] Impulsive H∞ control of discrete-time Markovian jump delay systems
    Zhang, Yu
    2017 CHINESE AUTOMATION CONGRESS (CAC), 2017, : 661 - 666
  • [28] Stability and stabilization of discrete-time singular Markov jump systems with time-varying delay
    Ma, Shuping
    Boukas, El-Kebir
    Chinniah, Y.
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (05) : 531 - 543
  • [29] Improved Delay-dependent Stability Criteria for Discrete-time Systems with Time-varying Delay
    Liu, Yingying
    Yang, Guanghong
    2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 2835 - 2839
  • [30] Further Delay-Range-Dependent Robust Stability Analysis for Time-Delay Systems
    Yu Jianjiang
    Zhang Kanjian
    Fei Shumin
    Zhao Xianlin
    PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2, 2008, : 110 - 114
12345