Multi-Objective Optimal Control for Uncertain Singularly Perturbed Systems

This paper studies the passive multi-objective optimal control of uncertain singularly perturbed systems. First, the uncertainty is described in a norm-bounded way, and then the state space model of the system is determined. Further time, the problem of passivity can also be transformed into a linea...

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Autores principales:	Lei Liu, Shaofan Feng
Formato:	article
Lenguaje:	EN
Publicado:	IEEE 2021
Materias:	Singularly perturbed system robust control multi-objective optimization LQ-control Electrical engineering. Electronics. Nuclear engineering TK1-9971
Acceso en línea:	https://doaj.org/article/bb139b1d7de946ea85f4367e732e28c7
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id	oai:doaj.org-article:bb139b1d7de946ea85f4367e732e28c7
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spelling	oai:doaj.org-article:bb139b1d7de946ea85f4367e732e28c72021-11-23T00:01:44ZMulti-Objective Optimal Control for Uncertain Singularly Perturbed Systems2169-353610.1109/ACCESS.2021.3101211https://doaj.org/article/bb139b1d7de946ea85f4367e732e28c72021-01-01T00:00:00Zhttps://ieeexplore.ieee.org/document/9502101/https://doaj.org/toc/2169-3536This paper studies the passive multi-objective optimal control of uncertain singularly perturbed systems. First, the uncertainty is described in a norm-bounded way, and then the state space model of the system is determined. Further time, the problem of passivity can also be transformed into a linear quadratic performance index problem. According to the Lyapunov stability theory, the system robust stability criterion is derived, based on the above conclusion, the corresponding parameterized passive multi-objective controller is designed using state feedback, and the weight matrix and the minimum performance index are solved based on the optimal control theory. Finally, a numerical example is given to illustrate the correctness and feasibility of the control method.Lei LiuShaofan FengIEEEarticleSingularly perturbed systemrobust controlmulti-objectiveoptimizationLQ-controlElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENIEEE Access, Vol 9, Pp 108340-108345 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Singularly perturbed system robust control multi-objective optimization LQ-control Electrical engineering. Electronics. Nuclear engineering TK1-9971
spellingShingle	Singularly perturbed system robust control multi-objective optimization LQ-control Electrical engineering. Electronics. Nuclear engineering TK1-9971 Lei Liu Shaofan Feng Multi-Objective Optimal Control for Uncertain Singularly Perturbed Systems
description	This paper studies the passive multi-objective optimal control of uncertain singularly perturbed systems. First, the uncertainty is described in a norm-bounded way, and then the state space model of the system is determined. Further time, the problem of passivity can also be transformed into a linear quadratic performance index problem. According to the Lyapunov stability theory, the system robust stability criterion is derived, based on the above conclusion, the corresponding parameterized passive multi-objective controller is designed using state feedback, and the weight matrix and the minimum performance index are solved based on the optimal control theory. Finally, a numerical example is given to illustrate the correctness and feasibility of the control method.
format	article
author	Lei Liu Shaofan Feng
author_facet	Lei Liu Shaofan Feng
author_sort	Lei Liu
title	Multi-Objective Optimal Control for Uncertain Singularly Perturbed Systems
title_short	Multi-Objective Optimal Control for Uncertain Singularly Perturbed Systems
title_full	Multi-Objective Optimal Control for Uncertain Singularly Perturbed Systems
title_fullStr	Multi-Objective Optimal Control for Uncertain Singularly Perturbed Systems
title_full_unstemmed	Multi-Objective Optimal Control for Uncertain Singularly Perturbed Systems
title_sort	multi-objective optimal control for uncertain singularly perturbed systems
publisher	IEEE
publishDate	2021
url	https://doaj.org/article/bb139b1d7de946ea85f4367e732e28c7
work_keys_str_mv	AT leiliu multiobjectiveoptimalcontrolforuncertainsingularlyperturbedsystems AT shaofanfeng multiobjectiveoptimalcontrolforuncertainsingularlyperturbedsystems
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Multi-Objective Optimal Control for Uncertain Singularly Perturbed Systems

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