Asynchronous Guaranteed Cost Control of 2-D Markov Jump Roesser Systems

被引：19
|
作者：
Wu, Zheng-Guang [1 ]
Tao, Yue-Yue [1 ]
机构：
[1] Zhejiang Univ, Inst Cyber Syst & Control, Hangzhou 310027, Zhejiang, Peoples R China
来源：
IEEE TRANSACTIONS ON CYBERNETICS | 2022年 / 52卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Markov processes; Hidden Markov models; Control systems; Boundary conditions; Switches; Symmetric matrices; Cost function; 2-D systems; guaranteed cost control; hidden Markov model; Markov jump systems (M[!text type='JS']JS[!/text]s); LINEAR-SYSTEMS; STABILITY; STABILIZATION; MODELS;
D O I：
10.1109/TCYB.2021.3100074
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 article is concerned with the problem of guaranteed cost control for 2-D Markov jump Roesser systems with mismatched modes. The hidden Markov model is introduced to describe the asynchronous phenomenon caused by mismatched modes, and an asynchronous linear state-feedback control law is designed based on this model. With the help of the 2-D Lyapunov function and linear matrix inequality (LMI) techniques, sufficient conditions are established to ensure the asymptotic stability of the concerned system with a bound of the predefined guaranteed cost under three different boundary conditions, respectively. Finally, an algorithm that concludes the design processes of the optimal asynchronous guaranteed cost control law is proposed, and a numerical example is provided to verify its effectiveness.
引用
下载
收藏
页码：13063 / 13072
页数：10
相关论文
共 50 条
  • [31] Asynchronous control for 2-D Markov jump cyber-physical systems against aperiodic denial-of-service attacks
    Cheng, Peng
    Wu, Di
    He, Shuping
    Zhang, Weidong
    SCIENCE CHINA-INFORMATION SCIENCES, 2023, 66 (07)
  • [32] Asynchronous control for 2-D Markov jump cyber-physical systems against aperiodic denial-of-service attacks
    Peng CHENG
    Di WU
    Shuping HE
    Weidong ZHANG
    Science China(Information Sciences), 2023, 66 (07) : 195 - 209
  • [33] H∞ control of 2-D discrete systems in Roesser model
    不详
    H(INFINITY) CONTROL AND FILTERING OF TWO-DIMENSIONAL SYSTEMS, 2002, 278 : 27 - 41
  • [34] H∞ control of 2-d systems in extended Roesser models
    Dai, Jiangtao
    Wang, Weiqun
    PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE OF MODELLING AND SIMULATION, VOL II: MATHEMATICAL MODELLING, 2008, : 119 - 124
  • [35] Event-triggered guaranteed cost control for uncertain networked Markov jump systems
    Ying Yu-jia
    Wang Hui-jiao
    Gu Min-ming
    2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 6759 - 6764
  • [36] A novel unbiased H. filter design for 2-D Markov jump systems in the Roesser model with general transition probabilities
    Hu, Xingyan
    Hua, Mingang
    Deng, Feiqi
    Chen, Hua
    Fei, Juntao
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2024, 361 (02): : 670 - 682
  • [37] Mixed Control for 2-D Markov Jump Systems with Multiaccess Stochastic Communication Protocol
    Zhang, Yu
    Chen, Qing
    Han, Chengyi
    Jiang, Taiping
    Chen, Yebin
    IAENG International Journal of Applied Mathematics, 2024, 54 (11) : 2379 - 2387
  • [38] HMM-based quantized dissipative control for 2-D Markov jump systems
    Wang, Yudong
    Xia, Jianwei
    Shen, Hao
    Cao, Jinde
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2021, 40
  • [39] Finite-region asynchronous H∞ control for 2D Markov jump systems
    Cheng, Peng
    He, Shuping
    Luan, Xiaoli
    Liu, Fei
    AUTOMATICA, 2021, 129
  • [40] Optimal guaranteed cost control of uncertain 2-D discrete state-delayed systems described by the Roesser model via memory state feedback
    Tandon, Akshata
    Dhawan, Amit
    Tiwari, Manish
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2019, 41 (01) : 285 - 294
12345