Finite-time stabilization and H∞ control of Port-controlled Hamiltonian systems with disturbances and saturation.

The finite-time stabilization and finite-time H∞ control problems of Port-controlled Hamiltonian (PCH) systems with disturbances and input saturation (IS) are studied in this paper. First, by designing an appropriate output feedback, a strictly dissipative PCH system is obtained and finite-time stab...

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Autores principales:	Baozeng Fu, Qingzhi Wang, Ping Li
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/bd594cfda4f44d0598f670f5c9e24683
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spelling	oai:doaj.org-article:bd594cfda4f44d0598f670f5c9e246832021-12-02T20:18:05ZFinite-time stabilization and H∞ control of Port-controlled Hamiltonian systems with disturbances and saturation.1932-620310.1371/journal.pone.0255797https://doaj.org/article/bd594cfda4f44d0598f670f5c9e246832021-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0255797https://doaj.org/toc/1932-6203The finite-time stabilization and finite-time H∞ control problems of Port-controlled Hamiltonian (PCH) systems with disturbances and input saturation (IS) are studied in this paper. First, by designing an appropriate output feedback, a strictly dissipative PCH system is obtained and finite-time stabilization result for nominal system is given. Second, with the help of the Hamilton function method and truncation inequality technique, a novel output feedback controller is developed to make the PCH system finite-time stable when IS occurs. Further, a finite-time H∞ controller is designed to attenuate disturbances for PCH systems with IS, and sufficient conditions are presented. Finally, a numerical example and a circuit example are given to reveal the feasibility of the obtained theoretical results.Baozeng FuQingzhi WangPing LiPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 16, Iss 8, p e0255797 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Baozeng Fu Qingzhi Wang Ping Li Finite-time stabilization and H∞ control of Port-controlled Hamiltonian systems with disturbances and saturation.
description	The finite-time stabilization and finite-time H∞ control problems of Port-controlled Hamiltonian (PCH) systems with disturbances and input saturation (IS) are studied in this paper. First, by designing an appropriate output feedback, a strictly dissipative PCH system is obtained and finite-time stabilization result for nominal system is given. Second, with the help of the Hamilton function method and truncation inequality technique, a novel output feedback controller is developed to make the PCH system finite-time stable when IS occurs. Further, a finite-time H∞ controller is designed to attenuate disturbances for PCH systems with IS, and sufficient conditions are presented. Finally, a numerical example and a circuit example are given to reveal the feasibility of the obtained theoretical results.
format	article
author	Baozeng Fu Qingzhi Wang Ping Li
author_facet	Baozeng Fu Qingzhi Wang Ping Li
author_sort	Baozeng Fu
title	Finite-time stabilization and H∞ control of Port-controlled Hamiltonian systems with disturbances and saturation.
title_short	Finite-time stabilization and H∞ control of Port-controlled Hamiltonian systems with disturbances and saturation.
title_full	Finite-time stabilization and H∞ control of Port-controlled Hamiltonian systems with disturbances and saturation.
title_fullStr	Finite-time stabilization and H∞ control of Port-controlled Hamiltonian systems with disturbances and saturation.
title_full_unstemmed	Finite-time stabilization and H∞ control of Port-controlled Hamiltonian systems with disturbances and saturation.
title_sort	finite-time stabilization and h∞ control of port-controlled hamiltonian systems with disturbances and saturation.
publisher	Public Library of Science (PLoS)
publishDate	2021
url	https://doaj.org/article/bd594cfda4f44d0598f670f5c9e24683
work_keys_str_mv	AT baozengfu finitetimestabilizationandhcontrolofportcontrolledhamiltoniansystemswithdisturbancesandsaturation AT qingzhiwang finitetimestabilizationandhcontrolofportcontrolledhamiltoniansystemswithdisturbancesandsaturation AT pingli finitetimestabilizationandhcontrolofportcontrolledhamiltoniansystemswithdisturbancesandsaturation
_version_	1718374309332779008

Finite-time stabilization and H∞ control of Port-controlled Hamiltonian systems with disturbances and saturation.

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