Dynamic event-triggered fuzzy control for nonlinear singular semi-Markovian jump systems via state decomposition approach

被引：6

作者：

Li, Xin ^{[1
]}

Mu, Xiaowu ^{[1
]}

机构：

[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2024年 / 466卷

基金：

中国国家自然科学基金;

关键词：

Singular semi-Markovian jump system; Interval type-2 fuzzy model; State decomposition approach; Dynamic event-triggered scheme; Hidden semi-Markov model; Quantization; H-INFINITY CONTROL; RELIABLE DISSIPATIVE CONTROL; DELAY;

D O I：

10.1016/j.amc.2023.128466

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper addresses the dynamic event-triggered fuzzy control problem of nonlinear singular semi-Markovian jump systems. Firstly, the interval type-2 fuzzy model is utilized to approximate nonlinear singular semi-Markovian jump systems. Secondly, by employing the state decomposition approach, the interval type-2 fuzzy singular system is decomposed into a differential equation and an algebraic equation. Thirdly, a new periodic dynamic event-triggered scheme with the adaptive variable is proposed to further relieve the communication pressure while ensuring the system performance. The hidden semi-Markov model is used to describe the phenomenon that the modes of fuzzy controller and the modes of original system are asynchronously operational. By designing the asynchronous event-triggered fuzzy controller based on quantized decomposed state vectors and constructing suitable Lyapunov-Krasovskii functional, sufficient conditions are derived to guarantee that the closed-loop fuzzy singular system is stochastically admissible. Finally, two simulation examples are provided to verify the validity and advantages of obtained results.

引用

页数：21

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