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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2021
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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. |
format | Online Article Text |
id | pubmed-8366989 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
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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