Aperiodic sampled-data controller design for switched Ito stochastic Markovian jump systems

被引：24
作者：
Chen, Guoliang [1 ,2 ]
Fan, Chenchen [3 ]
Lam, James [3 ]
Sun, Jian [2 ,4 ,5 ]
Xia, Jianwei [1 ]
机构：
[1] Liaocheng Univ, Sch Math Sci, Liaocheng, Shandong, Peoples R China
[2] Beijing Inst Technol, Sch Automat, Beijing, Peoples R China
[3] Univ Hong Kong, Dept Mech Engn, Pokfulam Rd, Hong Kong, Peoples R China
[4] Beijing Inst Technol, Key Lab Intelligent Control & Decis Complex Syst, Beijing, Peoples R China
[5] Beijing Inst Technol Chongqing Innovat Ctr, Chongqing, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2021年 / 157卷
基金：
中国国家自然科学基金;
关键词：
Markovian jump systems; Switched systems; Sampled-data controller; LMI; Lyapunov functional; GUARANTEED COST CONTROL; TIME-VARYING DELAYS; LINEAR-SYSTEMS; EXPONENTIAL STABILITY; FAULT-DETECTION; STABILIZATION; SOJOURN;
D O I：
10.1016/j.sysconle.2021.105031
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, aperiodic sampled-data control for a class of Ito stochastic Markovian jump systems with switching transition rate matrix containing partially known elements is investigated. By introducing a loop-based Lyapunov functional, mean square exponential stability criteria are presented and mode-dependent aperiodic sampled-data controllers are designed. Due to the constraint on the upper bound of the sampling interval is no greater than the dwell time, the transition rate matrix may switch in a sampling interval. The issue concerning the asynchronization between the sampled-data controller mode and the system mode is hence considered. A practical RLC electrical circuit example is presented to illustrate the effectiveness of the method. (c) 2021 Elsevier B.V. All rights reserved.
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页数：11
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