Synthesis of Polynomial Fuzzy Model-Based Designs with Synchronization and Secure Communications for Chaos Systems with <i>H</i><sub>∞</sub> Performance

This paper presents the sum of squares (SOS)-based fuzzy control with H∞ performance for a synchronized chaos system and secure communications. To diminish the influence of the extrinsic perturbation, SOS-based stability criteria of the polynomial fuzzy system are derived by using the polynomial Lya...

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Autores principales:	Gwo-Ruey Yu, Yong-Dong Chang, Chih-Heng Chang
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	chaos synchronization sum of squares extrinsic perturbation polynomial fuzzy compensator Chemical technology TP1-1185 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/831dcc20075343adadea4f6b8b07ea2b
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id	oai:doaj.org-article:831dcc20075343adadea4f6b8b07ea2b
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spelling	oai:doaj.org-article:831dcc20075343adadea4f6b8b07ea2b2021-11-25T18:52:14ZSynthesis of Polynomial Fuzzy Model-Based Designs with Synchronization and Secure Communications for Chaos Systems with <i>H</i><sub>∞</sub> Performance10.3390/pr91120882227-9717https://doaj.org/article/831dcc20075343adadea4f6b8b07ea2b2021-11-01T00:00:00Zhttps://www.mdpi.com/2227-9717/9/11/2088https://doaj.org/toc/2227-9717This paper presents the sum of squares (SOS)-based fuzzy control with H∞ performance for a synchronized chaos system and secure communications. To diminish the influence of the extrinsic perturbation, SOS-based stability criteria of the polynomial fuzzy system are derived by using the polynomial Lyapunov function. The perturbation decreasing achievement is indexed in a H∞ criterion. The submitted SOS-based stability criteria are more relaxed than the existing linear matrix inequality (LMI)-based stability criteria. The cryptography scheme based on an n-shift cipher is combined with synchronization for secure communications. Finally, numerical simulations illustrate the perturbation decay accomplishment of the submitted polynomial fuzzy compensator.Gwo-Ruey YuYong-Dong ChangChih-Heng ChangMDPI AGarticlechaos synchronizationsum of squaresextrinsic perturbationpolynomial fuzzy compensatorChemical technologyTP1-1185ChemistryQD1-999ENProcesses, Vol 9, Iss 2088, p 2088 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	chaos synchronization sum of squares extrinsic perturbation polynomial fuzzy compensator Chemical technology TP1-1185 Chemistry QD1-999
spellingShingle	chaos synchronization sum of squares extrinsic perturbation polynomial fuzzy compensator Chemical technology TP1-1185 Chemistry QD1-999 Gwo-Ruey Yu Yong-Dong Chang Chih-Heng Chang Synthesis of Polynomial Fuzzy Model-Based Designs with Synchronization and Secure Communications for Chaos Systems with <i>H</i><sub>∞</sub> Performance
description	This paper presents the sum of squares (SOS)-based fuzzy control with H∞ performance for a synchronized chaos system and secure communications. To diminish the influence of the extrinsic perturbation, SOS-based stability criteria of the polynomial fuzzy system are derived by using the polynomial Lyapunov function. The perturbation decreasing achievement is indexed in a H∞ criterion. The submitted SOS-based stability criteria are more relaxed than the existing linear matrix inequality (LMI)-based stability criteria. The cryptography scheme based on an n-shift cipher is combined with synchronization for secure communications. Finally, numerical simulations illustrate the perturbation decay accomplishment of the submitted polynomial fuzzy compensator.
format	article
author	Gwo-Ruey Yu Yong-Dong Chang Chih-Heng Chang
author_facet	Gwo-Ruey Yu Yong-Dong Chang Chih-Heng Chang
author_sort	Gwo-Ruey Yu
title	Synthesis of Polynomial Fuzzy Model-Based Designs with Synchronization and Secure Communications for Chaos Systems with <i>H</i><sub>∞</sub> Performance
title_short	Synthesis of Polynomial Fuzzy Model-Based Designs with Synchronization and Secure Communications for Chaos Systems with <i>H</i><sub>∞</sub> Performance
title_full	Synthesis of Polynomial Fuzzy Model-Based Designs with Synchronization and Secure Communications for Chaos Systems with <i>H</i><sub>∞</sub> Performance
title_fullStr	Synthesis of Polynomial Fuzzy Model-Based Designs with Synchronization and Secure Communications for Chaos Systems with <i>H</i><sub>∞</sub> Performance
title_full_unstemmed	Synthesis of Polynomial Fuzzy Model-Based Designs with Synchronization and Secure Communications for Chaos Systems with <i>H</i><sub>∞</sub> Performance
title_sort	synthesis of polynomial fuzzy model-based designs with synchronization and secure communications for chaos systems with <i>h</i><sub>∞</sub> performance
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/831dcc20075343adadea4f6b8b07ea2b
work_keys_str_mv	AT gworueyyu synthesisofpolynomialfuzzymodelbaseddesignswithsynchronizationandsecurecommunicationsforchaossystemswithihisubsubperformance AT yongdongchang synthesisofpolynomialfuzzymodelbaseddesignswithsynchronizationandsecurecommunicationsforchaossystemswithihisubsubperformance AT chihhengchang synthesisofpolynomialfuzzymodelbaseddesignswithsynchronizationandsecurecommunicationsforchaossystemswithihisubsubperformance
_version_	1718410598557941760

Synthesis of Polynomial Fuzzy Model-Based Designs with Synchronization and Secure Communications for Chaos Systems with <i>H</i><sub>∞</sub> Performance

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