Asynchronous H∞ Control for Positive Discrete-time Markovian Jump Systems

被引：14
|
作者：
Shang, Hui [1 ]
Qi, Wenhai [1 ]
Zong, Guangdeng [1 ]
机构：
[1] Qufu Normal Univ, Sch Engn, Rizhao 276826, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2020年 / 18卷 / 02期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Asynchronous controller; Lyapunov-Krasovskii functional; positive Markovian jump systems; stochastic stability; VARYING DELAY; STOCHASTIC STABILITY; STABILIZATION;
D O I：
10.1007/s12555-018-0107-9
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 asynchronous H-infinity control for discrete-time positive Markovian jump systems (PMJSs). In previous results about PMJSs, asynchronous behaviors are always overlooked and the designed controller is based on the synchronization between the system modes and controller modes. Sufficient conditions for stochastic stability are proposed by the use of Lyapunov-Krasovskii functional. The asynchronous controller is designed to ensure the closed-loop system stochastically stable with a prescribed H-infinity performance index. All the conditions are given in linear matrix inequality framework. Finally, a pest's age-structured population dynamic model is illustrated to show the validity of the present design.
引用
收藏
页码：431 / 438
页数：8
相关论文
共 50 条
  • [1] Asynchronous H∞ Control for Positive Discrete-time Markovian Jump Systems
    Hui Shang
    Wenhai Qi
    Guangdeng Zong
    [J]. International Journal of Control, Automation and Systems, 2020, 18 : 431 - 438
  • [2] Finite-time asynchronous control for positive discrete-time Markovian jump systems
    Shang, Hui
    Qi, Wenhai
    Zong, Guangdeng
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (07): : 935 - 942
  • [3] Asynchronous Control for Discrete-Time Markovian Jump Systems With Multiplicative Noise
    Wang, Shitong
    Wu, Zheng-Guang
    Shi, Peng
    Wu, Zhaojing
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2023, 70 (07) : 2480 - 2484
  • [4] Asynchronous Control for Discrete-Time Singular Markovian Jump Systems With Actuator Saturation
    Zhang, Qian
    Yan, Huaicheng
    Tian, Yongxiao
    Qi, Ping
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2024, 71 (08) : 3890 - 3894
  • [5] Model Predictive Control of Discrete-time Markovian Jump Positive Systems
    Mehrivash, Hamed
    Hadavand, Ehsan
    Shafiei, Mohammad Hosein
    Zarei, Jafar
    [J]. 26TH IRANIAN CONFERENCE ON ELECTRICAL ENGINEERING (ICEE 2018), 2018, : 834 - 839
  • [6] Robust H∞ control of descriptor discrete-time Markovian jump systems
    Lam, J.
    Shu, Z.
    Xu, S.
    Boukas, E. -K.
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2007, 80 (03) : 374 - 385
  • [7] Impulsive H∞ control of discrete-time Markovian jump delay systems
    Zhang, Yu
    [J]. 2017 CHINESE AUTOMATION CONGRESS (CAC), 2017, : 661 - 666
  • [8] Tracking control of discrete-time Markovian jump systems
    Tian, Guangtai
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2020, 51 (15) : 3070 - 3080
  • [9] Receding horizon H∞ control for discrete-time Markovian jump linear systems
    Wen, Jiwei
    Liu, Fei
    [J]. JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2011, 22 (02) : 292 - 299
  • [10] Receding horizon H∞ control for discrete-time Markovian jump linear systems
    Jiwei Wen and Fei Liu Key Laboratory of Advanced Process Control for Light Industry
    [J]. Journal of Systems Engineering and Electronics, 2011, 22 (02) : 292 - 299
12345