Finite-Region Dissipative Control for 2-D Fuzzy Jump Systems Under Hidden Mode Detection

被引:5
|
作者
Cheng, Peng [1 ]
He, Shuping [2 ]
Xie, Wei [1 ]
Zhang, Weidong [1 ]
机构
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
[2] Anhui Univ, Sch Elect Engn & Automat, Hefei 230601, Peoples R China
基金
中国国家自然科学基金;
关键词
Asynchronous dissipative control; Darboux equation; finite-region; fuzzy Markov jump systems (M[!text type='JS']JS[!/text]s); hidden Markov model (HMM); H-INFINITY; FAULT-DETECTION; DELAYS;
D O I
10.1109/TSMC.2023.3278746
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 work, we consider the problem of finite-region asynchronous dissipative control and pay more attention to the transient behavior of a class of two-dimensional fuzzy Markov jump systems (MJSs). First, the considered plant is modeled based on a well-known Fornasini-Marchesini equation. The asynchronization phenomenon between the system modes and controller modes is characterized by a hidden Markov model. Then, by a fuzzy-basis-dependent and mode-dependent Lyapunov function, sufficient conditions are established, which can make the overall closed-loop fuzzy dynamic MJSs be finite-region bounded with a strictly (T, S, R)-?-dissipative performance. Finally, a numerical example concerning the Darboux equation is employed to validate the effectiveness and performance of the presented control scheme.
引用
收藏
页码:6107 / 6118
页数:12
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