Dissipative Control for Fuzzy Singular Markov Jump Systems With State-Dependent Noise and Asynchronous Modes

被引：4
|
作者：
Wu, Bingyu [1 ]
Zhao, Yong [1 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
来源：
IEEE ACCESS | 2021年 / 9卷
基金：
中国国家自然科学基金;
关键词：
Hidden Markov models; Markov processes; Symmetric matrices; Output feedback; Closed loop systems; Linear matrix inequalities; Delay effects; Singular Markov jump systems; asynchronous dissipative control; hidden Markov model; linear matrix inequalities (LMIs); Takagi-Sugeno (T-S) fuzzy model; FEEDBACK-CONTROL; ROBUST STABILIZATION; STABILITY ANALYSIS; TIME; DELAY;
D O I：
10.1109/ACCESS.2021.3057851
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the issue of dissipative control for a class of discrete-time T-S fuzzy singular Markov jump systems with state-dependent noise and asynchronous modes is investigated. The hidden Markov model (HMM) is introduced to observe the asynchronous phenomenon between the original system modes and the controller modes. Sufficient conditions are established in the form of strict LMIs to guarantee that the closed-loop system is stochastically admissible and strictly (Q, S, R)- beta dissipative. An asynchronous output feedback controller is successfully proposed, which is more general than synchronous and mode-independent ones. Finally, the effectiveness and validity of the obtained results are illustrated by a numerical example.
引用
收藏
页码：25691 / 25702
页数：12
相关论文
共 50 条
  • [1] Asynchronous Dissipative Control for Fuzzy Markov Jump Systems
    Wu, Zheng-Guang
    Dong, Shanling
    Su, Hongye
    Li, Chuandong
    IEEE TRANSACTIONS ON CYBERNETICS, 2018, 48 (08) : 2426 - 2436
  • [2] New results on stability of singular stochastic Markov jump systems with state-dependent noise
    Zhao, Yong
    Zhang, Weihai
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2016, 26 (10) : 2169 - 2186
  • [3] Asynchronous Dissipative Control for a Class of Discrete-time Singular Markov Jump Systems
    Lu, Xiao
    Yan, Jiaqiang
    Wang, Haixia
    PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 176 - 179
  • [4] Asynchronous Dissipative Control of Discrete-Time Fuzzy Markov Jump Systems With Dynamic State and Input Quantization
    Zhou, Jianping
    Dong, Jingjing
    Xu, Shengyuan
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2023, 31 (11) : 3906 - 3920
  • [5] Asynchronous Dissipative Control for Nonlinear Generalized Markov Jump Systems
    Yang D.-M.
    Li D.
    Dongbei Daxue Xuebao/Journal of Northeastern University, 2021, 42 (09): : 1226 - 1230
  • [6] Dissipative Asynchronous T-S Fuzzy Control For Singular Semi-Markovian Jump Systems
    Ma, Yuechao
    Kong, Chuifeng
    IEEE TRANSACTIONS ON CYBERNETICS, 2022, 52 (06) : 5454 - 5463
  • [7] Stochastic $\mathcal {H}_{\infty }$H∞ control of state-dependent jump linear systems with state-dependent noise
    Chitraganti, Shaikshavali
    Aberkane, Samir
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (09): : 1291 - 1297
  • [8] Dynamic event-based dissipative asynchronous control for T–S fuzzy singular Markov jump LPV systems against deception attacks
    Mingqi Xing
    Yanqian Wang
    Guangming Zhuang
    Minsong Zhang
    Nonlinear Dynamics, 2021, 103 : 1709 - 1731
  • [9] Dissipative Control for Singular T-S Fuzzy Markov Jump Systems Under Quantized Feedback
    Fu, Lei
    Ma, Yuechao
    Guan, Wei
    IEEE ACCESS, 2019, 7 : 70933 - 70943
  • [10] Asynchronous H∞ control for uncertain singular stochastic Markov jump systems with multiplicative noise based on hidden Markov mode
    Zhao, Yong
    Zhang, Tianliang
    Zhang, Weihai
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (09): : 5226 - 5247
12345