Asynchronous H∞ Control for Continuous-Time Hidden Markov Jump Systems With Actuator Saturation

被引：21
作者：
Wang, San [1 ]
Wu, Zheng-Guang [2 ,3 ,4 ]
Tao, Yue-Yue [1 ]
机构：
[1] Zhejiang Univ, Inst Cyber Syst & Control, State Key Lab Ind Control Technol, Hangzhou 310027, Peoples R China
[2] Zhejiang Univ, Inst Cyber Syst & Control, Hangzhou 310027, Peoples R China
[3] Chengdu Univ, Inst Adv Study, Chengdu 610106, Peoples R China
[4] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Zhejiang, Peoples R China
来源：
IEEE TRANSACTIONS ON CYBERNETICS | 2023年 / 53卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Asynchronous control; H-infinity performance; hidden Markov model; Markov jump systems (M[!text type='JS']JS[!/text]s); saturation; ROBUST-CONTROL; STABILITY; STABILIZATION; SUBJECT; DESIGN; H-2-CONTROL; NETWORKS;
D O I：
10.1109/TCYB.2022.3181820
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 article, we address the asynchronous H-infinity control problem of a class of hidden Markov jump systems (HMJSs) subject to actuator saturation in the continuous-time domain. A bunch of convex hulls is utilized to represent the saturated nonlinearity. Considering that there is an asynchronous mode mismatch between the system and the controller, we establish a hidden Markov model (HMM) to simulate the situation. By means of the Lyapunov theory, sufficient conditions are presented to ensure that the resultant closed-loop HMJS is stochastically mean square stable within the domain of attraction with a prescribed H-infinity performance index. Furthermore, the state feedback gain matrix and the estimation of the domain of attraction are given by solving an optimization problem, which is constructed via linear matrix inequality (LMI) techniques. Finally, the reliability and validity of the derived results are examined by a numerical example.
引用
收藏
页码：7095 / 7104
页数：10
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