Dynamic output feedback finite-time H∞ control for discrete-time Markov jump system

被引:0
|
作者
Li, Yan-Kai [1 ,2 ,3 ]
Chen, Chen [1 ,2 ,3 ]
Liu, Ding [1 ,2 ,3 ]
Mu, Ling-Xia [1 ,2 ,3 ]
Huang, Wei-Chao [1 ,2 ,3 ]
机构
[1] School of Automation and Information Engineering, Xi’an University of Technology, Xi’an,710048, China
[2] National & Local Joint Engineering Research Center of Crystal Growth Equipment and System Integration, Xi’an University of Technology, Xi’an,710048, China
[3] Key Laboratory of Shaanxi Province for Complex System Control and Intelligent Information Processing, Xi’an University of Technology, Xi’an,710048, China
来源
Kongzhi yu Juece/Control and Decision | 2025年 / 40卷 / 02期
关键词
Adaptive control systems - Closed loop control systems - Control theory - Discrete time control systems - Feedback control - Markov processes - Numerical control systems - System theory;
D O I
10.13195/j.kzyjc.2024.0009
中图分类号
学科分类号
摘要
This paper mainly studies the finite-time H∞ control problem of a discrete-time Markov jump system based on dynamic output feedback. In view of the unmeasurable state and external disturbance in the actual system, a dynamic output feedback control strategy is proposed. At the same time, based on the finite-time H∞ control theory and Markov jump system theory, the stability of the closed-loop system is analyzed and the feasible sufficient conditions are obtained by using linear matrix inequality (LMI) technology. The proposed method gives a more relaxed matrix inequality decoupling scheme, which has a larger scope of application. Finally, the effectiveness of the proposed control scheme is verified by numerical examples. © 2025 Northeast University. All rights reserved.
引用
收藏
页码:617 / 625
相关论文
共 50 条
  • [31] Observer-based finite-time H∞ control of discrete-time Markovian jump systems
    Zhang, Yingqi
    Liu, Caixia
    APPLIED MATHEMATICAL MODELLING, 2013, 37 (06) : 3748 - 3760
  • [32] Finite-time H∞ control of a switched discrete-time system with average dwell time
    Qishui Zhong
    Jun Cheng
    Shouming Zhong
    Advances in Difference Equations, 2013
  • [33] Finite-time H∞ control of a switched discrete-time system with average dwell time
    Zhong, Qishui
    Cheng, Jun
    Zhong, Shouming
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [34] Finite-time H∞ static output control of Markov jump systems with an auxiliary approach
    Shen, Mouquan
    Yan, Shen
    Zhang, Guangming
    Park, Ju H.
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 273 : 553 - 561
  • [35] Finite-time H∞ Dynamic Output Feedback Control for One-Sided Lipschitz Nonlinear Rectangular Descriptor Markov Jump Systems
    Song, Xue
    Ma, Shuping
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2024, 43 (05) : 2695 - 2722
  • [36] Sliding mode output-feedback control of discrete-time Markov jump systems using singular system
    Yao, Deyin
    Ren, Hongru
    Li, Panshuo
    Zhou, Qi
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (13): : 5576 - 5591
  • [37] Optimal output feedback control for discrete-time Markov jump linear system with input delay and packet losses
    Liu, Yue
    Han, Chunyan
    Wang, Xiaohong
    Wang, Wei
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2021, 42 (02): : 395 - 416
  • [38] Asynchronous Dissipative Static Output Feedback Control for Discrete-time Markov Jump Systems with Nonlinearities
    Yan, Jiaqiang
    Lu, Xiao
    Wang, Haixai
    Pu, Qiong
    Song, Yiqi
    Chen, Zhiqiang
    2017 CHINESE AUTOMATION CONGRESS (CAC), 2017, : 6882 - 6885
  • [39] Sliding Mode Output Feedback Control for a Class of Uncertain Discrete-time Markov Jump Systems
    Huang, Fengzhi
    Hou, Yan
    Zhang, Shijie
    Shi, Qingsheng
    PROCEEDINGS OF THE 2016 INTERNATIONAL CONFERENCE ON MECHATRONICS, CONTROL AND AUTOMATION ENGINEERING (MCAE), 2016, 58 : 27 - 31
  • [40] Resilient H∞ filtering for discrete-time uncertain Markov jump neural networks over a finite-time interval
    Chen, Mengshen
    Zhang, Long
    Shen, Hao
    NEUROCOMPUTING, 2016, 185 : 212 - 219