Asynchronous Dissipative Control and Robust Exponential Mean Square Stabilization for Uncertain Fuzzy Neutral Markov Jump Systems

被引：7

作者：

Wang Jie ^{[1
]}

Zhuang Guangming ^{[1
]}

Xia Jianwei ^{[1
]}

Chen Guoliang ^{[1
]}

Zhao Junsheng ^{[1
]}

机构：

[1] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Shandong, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2022年 / 35卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Asynchronous fuzzy P-D feedback control; exponential mean square stabilization; hidden Markov model; neutral Markov jump systems; strict dissipativity; NEURAL-NETWORKS; STABILITY ANALYSIS; DYNAMICAL-SYSTEMS; NONLINEAR-SYSTEMS; TRACKING CONTROL; DESIGN; DELAYS;

D O I：

10.1007/s11424-021-1005-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper researches the strict dissipative control problem for uncertain fuzzy neutral Markov jump systems by Takagi-Sugeno fuzzy rules. The asynchronous phenomenon is considered between the uncertain fuzzy neutral Markov jump systems modes and asynchronous fuzzy P-D feedback controller modes, which is described by a hidden Markov model. Via using linear matrix inequalities, the desired asynchronous fuzzy P-D feedback controller is obtained, which can ensure that the closed-loop uncertain fuzzy neutral Markov jump systems satisfies robustly exponential mean square stabilization with strict dissipativity. A numerical example and a single-link robot arm are utilized to demonstrate the effectiveness of the method.

引用

页码：1374 / 1397

页数：24

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