Fuzzy-Model-Based Control for Markov Switching Singularly Perturbed Systems with the Stochastic Communication Protocol

This work is concerned with the H∞ control for Markov switching singularly perturbed systems with the stochastic communication protocol. To coordinate the data transmission and save the bandwidth usage, the stochastic communication protocol with a compensator is applied to schedule the information e...

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Main Authors:	Zhiguo An, Qijuan Chen, Junxiang Liu, Le Luan, Yong Wang, Kai Zhou, Wenxiong Mo, Huihong Huang
Format:	Article
Language:	English
Published:	Hindawi Limited 2021-01-01
Series:	Mathematical Problems in Engineering
Online Access:	http://dx.doi.org/10.1155/2021/6690729

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spelling	doaj-798bdbaf1a174aaeab8df7e14ad0b1c32021-03-01T01:13:58ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/6690729Fuzzy-Model-Based Control for Markov Switching Singularly Perturbed Systems with the Stochastic Communication ProtocolZhiguo An0Qijuan Chen1Junxiang Liu2Le Luan3Yong Wang4Kai Zhou5Wenxiong Mo6Huihong Huang7School of Power and Mechanical EngineeringSchool of Power and Mechanical EngineeringGuangzhou Power Supply BureauGuangzhou Power Supply BureauGuangzhou Power Supply BureauGuangzhou Power Supply BureauGuangzhou Power Supply BureauGuangzhou Power Supply BureauThis work is concerned with the H∞ control for Markov switching singularly perturbed systems with the stochastic communication protocol. To coordinate the data transmission and save the bandwidth usage, the stochastic communication protocol with a compensator is applied to schedule the information exchange. The goal of this work is to design a joint-Markov-process-based controller such that the resulting system is stochastically stable with prescribed performance. Based on the Lyapunov functional technique, a sufficient condition is derived to ensure the existence of the achieved controller. Finally, the effectiveness and correctness of the developed results are verified by the simulation example.http://dx.doi.org/10.1155/2021/6690729
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Zhiguo An Qijuan Chen Junxiang Liu Le Luan Yong Wang Kai Zhou Wenxiong Mo Huihong Huang
spellingShingle	Zhiguo An Qijuan Chen Junxiang Liu Le Luan Yong Wang Kai Zhou Wenxiong Mo Huihong Huang Fuzzy-Model-Based Control for Markov Switching Singularly Perturbed Systems with the Stochastic Communication Protocol Mathematical Problems in Engineering
author_facet	Zhiguo An Qijuan Chen Junxiang Liu Le Luan Yong Wang Kai Zhou Wenxiong Mo Huihong Huang
author_sort	Zhiguo An
title	Fuzzy-Model-Based Control for Markov Switching Singularly Perturbed Systems with the Stochastic Communication Protocol
title_short	Fuzzy-Model-Based Control for Markov Switching Singularly Perturbed Systems with the Stochastic Communication Protocol
title_full	Fuzzy-Model-Based Control for Markov Switching Singularly Perturbed Systems with the Stochastic Communication Protocol
title_fullStr	Fuzzy-Model-Based Control for Markov Switching Singularly Perturbed Systems with the Stochastic Communication Protocol
title_full_unstemmed	Fuzzy-Model-Based Control for Markov Switching Singularly Perturbed Systems with the Stochastic Communication Protocol
title_sort	fuzzy-model-based control for markov switching singularly perturbed systems with the stochastic communication protocol
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1563-5147
publishDate	2021-01-01
description	This work is concerned with the H∞ control for Markov switching singularly perturbed systems with the stochastic communication protocol. To coordinate the data transmission and save the bandwidth usage, the stochastic communication protocol with a compensator is applied to schedule the information exchange. The goal of this work is to design a joint-Markov-process-based controller such that the resulting system is stochastically stable with prescribed performance. Based on the Lyapunov functional technique, a sufficient condition is derived to ensure the existence of the achieved controller. Finally, the effectiveness and correctness of the developed results are verified by the simulation example.
url	http://dx.doi.org/10.1155/2021/6690729
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Fuzzy-Model-Based Control for Markov Switching Singularly Perturbed Systems with the Stochastic Communication Protocol

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