Nonfragile Observer-Based Control for Markovian Jump Systems Subject to Asynchronous Modes

被引:24
作者
Tao, Jie [1 ,2 ]
Wei, Chaoyou [1 ,2 ]
Wu, Jun [3 ]
Wang, Xiaofeng [4 ]
Shi, Peng [5 ]
机构
[1] Guangdong Univ Technol, Sch Automat, Guangzhou 510006, Peoples R China
[2] Guangdong Univ Technol, Guangdong Prov Key Lab Intelligent Decis & Cooper, Guangzhou 510006, Peoples R China
[3] Zhejiang Univ, Inst Cyber Syst & Control, State Key Lab Ind Control Technol, Hangzhou 310027, Peoples R China
[4] Univ South Carolina, Dept Elect Engn, Columbia, SC 29208 USA
[5] Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia
来源
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2021年 / 51卷 / 06期
关键词
Observers; Markov processes; Hidden Markov models; Uncertainty; Closed loop systems; Symmetric matrices; Linear matrix inequalities; Extended dissipativity; hidden Markov model; nonfragile control; observer-based controller; NONLINEAR-SYSTEMS;
D O I
10.1109/TSMC.2019.2930681
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 problem of resilient observer-based robust control is considered for discrete-time Markov jump systems subject to asynchronous models and extended dissipativity. The model uncertainty is in the interval type, which has an ability to describe parameter fluctuating phenomenon more accurately than using the norm-bounded uncertainty. A hidden Markov chain is employed to depict the mismatch between the original system and the observer-based controller. Conditions are provided to ensure the stability of the resulting closed-loop system with a desired dissipation performance regardless of the uncertainties. An example is presented to illustrate the effectiveness and potential of the proposed new design techniques.
引用
收藏
页码:3533 / 3540
页数:8
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