Reachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations

In this paper, the mixed performance and reachable set of uncertain discrete systems with slow variation interval time-varying delay are considered. The original uncertain discrete systems with interval time-varying delay are first transformed into a switched system. Then, the proposed improved resu...

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Autores principales:	Chang-Hua Lien, Hao-Chin Chang, Ker-Wei Yu, Hung-Chi Li, Yi-You Hou
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	mixed <i>H</i><sub>2</sub>/<i>H</i><sub>∞</sub> performance reachable set discrete system slow variation interval time-varying delay Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/0caa1216e8ec47228b9be399a4d2b75f
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spelling	oai:doaj.org-article:0caa1216e8ec47228b9be399a4d2b75f2021-11-11T18:18:25ZReachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations10.3390/math92127632227-7390https://doaj.org/article/0caa1216e8ec47228b9be399a4d2b75f2021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2763https://doaj.org/toc/2227-7390In this paper, the mixed performance and reachable set of uncertain discrete systems with slow variation interval time-varying delay are considered. The original uncertain discrete systems with interval time-varying delay are first transformed into a switched system. Then, the proposed improved results are used to guarantee the stability and reachable set of the uncertain system with slow variation interval time-varying delay. The mixed performance (<i>H</i><sub>2</sub>/<i>H</i><sub>∞</sub>) can be derived in the same formulation simultaneously. The design scheme of robust switched control is also developed in this paper. The gains of the controller can be designed and switched to achieve stabilization and mixed performance of the system according to the delay value. Some comparisons with published results are made to show the main contribution of the proposed approach. Finally, some numerical examples are illustrated to show the main results.Chang-Hua LienHao-Chin ChangKer-Wei YuHung-Chi LiYi-You HouMDPI AGarticlemixed <i>H</i><sub>2</sub>/<i>H</i><sub>∞</sub> performancereachable setdiscrete systemslow variation interval time-varying delayMathematicsQA1-939ENMathematics, Vol 9, Iss 2763, p 2763 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	mixed <i>H</i><sub>2</sub>/<i>H</i><sub>∞</sub> performance reachable set discrete system slow variation interval time-varying delay Mathematics QA1-939
spellingShingle	mixed <i>H</i><sub>2</sub>/<i>H</i><sub>∞</sub> performance reachable set discrete system slow variation interval time-varying delay Mathematics QA1-939 Chang-Hua Lien Hao-Chin Chang Ker-Wei Yu Hung-Chi Li Yi-You Hou Reachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations
description	In this paper, the mixed performance and reachable set of uncertain discrete systems with slow variation interval time-varying delay are considered. The original uncertain discrete systems with interval time-varying delay are first transformed into a switched system. Then, the proposed improved results are used to guarantee the stability and reachable set of the uncertain system with slow variation interval time-varying delay. The mixed performance (<i>H</i><sub>2</sub>/<i>H</i><sub>∞</sub>) can be derived in the same formulation simultaneously. The design scheme of robust switched control is also developed in this paper. The gains of the controller can be designed and switched to achieve stabilization and mixed performance of the system according to the delay value. Some comparisons with published results are made to show the main contribution of the proposed approach. Finally, some numerical examples are illustrated to show the main results.
format	article
author	Chang-Hua Lien Hao-Chin Chang Ker-Wei Yu Hung-Chi Li Yi-You Hou
author_facet	Chang-Hua Lien Hao-Chin Chang Ker-Wei Yu Hung-Chi Li Yi-You Hou
author_sort	Chang-Hua Lien
title	Reachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations
title_short	Reachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations
title_full	Reachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations
title_fullStr	Reachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations
title_full_unstemmed	Reachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations
title_sort	reachable set and robust mixed performance of uncertain discrete systems with interval time-varying delay and linear fractional perturbations
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/0caa1216e8ec47228b9be399a4d2b75f
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Reachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations

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