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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 st...

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Detalles Bibliográficos
Autores principales: Fu, Baozeng, Wang, Qingzhi, Li, Ping
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8366989/
https://www.ncbi.nlm.nih.gov/pubmed/34398880
http://dx.doi.org/10.1371/journal.pone.0255797
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author Fu, Baozeng
Wang, Qingzhi
Li, Ping
author_facet Fu, Baozeng
Wang, Qingzhi
Li, Ping
author_sort Fu, Baozeng
collection PubMed
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.
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spelling pubmed-83669892021-08-17 Finite-time stabilization and H∞ control of Port-controlled Hamiltonian systems with disturbances and saturation Fu, Baozeng Wang, Qingzhi Li, Ping PLoS One Research Article 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. Public Library of Science 2021-08-16 /pmc/articles/PMC8366989/ /pubmed/34398880 http://dx.doi.org/10.1371/journal.pone.0255797 Text en © 2021 Fu et al https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Fu, Baozeng
Wang, Qingzhi
Li, Ping
Finite-time stabilization and H∞ control of Port-controlled Hamiltonian systems with disturbances and saturation
title 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_short 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
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8366989/
https://www.ncbi.nlm.nih.gov/pubmed/34398880
http://dx.doi.org/10.1371/journal.pone.0255797
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