Practical fixed-time stabilization for discrete-time impulsive switched port-controlled Hamiltonian systems
This paper is concerned with practical fixed-time (FT) stabilization problem of discretetime impulsive switched port-controlled Hamiltonian systems (DISPCH). First, starting with discrete-time port-controlled Hamiltonian systems, a novel controller is presented to achieve practical FT stability of...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2024-02-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/34648 |
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| _version_ | 1850244491157438464 |
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| author | Xiangyu Chen Weiwei Sun Xinci Gao Dehay Yu |
| author_facet | Xiangyu Chen Weiwei Sun Xinci Gao Dehay Yu |
| author_sort | Xiangyu Chen |
| collection | DOAJ |
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This paper is concerned with practical fixed-time (FT) stabilization problem of discretetime impulsive switched port-controlled Hamiltonian systems (DISPCH). First, starting with discrete-time port-controlled Hamiltonian systems, a novel controller is presented to achieve practical FT stability of the obtained closed-loop system. Moreover, in order to well handle the abrupt changes at switch moments in practical switched systems, another novel controller is presented in terms of positive-order Lyapunov functions approach and range dwell time method to make discrete-time impulsive switched port-controlled Hamiltonian system practical FT stable. Ultimately, the validity of proposed methods is illustrated by simulations.
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| format | Article |
| id | doaj-art-9ddcdcc5153b435aae6642a30be4c9da |
| institution | OA Journals |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2024-02-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-9ddcdcc5153b435aae6642a30be4c9da2025-08-20T01:59:43ZengVilnius University PressNonlinear Analysis1392-51132335-89632024-02-0129210.15388/namc.2024.29.34648Practical fixed-time stabilization for discrete-time impulsive switched port-controlled Hamiltonian systemsXiangyu Chen0https://orcid.org/0000-0003-4426-2603Weiwei Sun1https://orcid.org/0000-0003-0131-6958Xinci Gao2https://orcid.org/0000-0003-2608-4604Dehay Yu3https://orcid.org/0000-0003-4811-1079Qufu Normal UniversityQufu Normal UniversityQufu Normal UniversityQufu Normal University This paper is concerned with practical fixed-time (FT) stabilization problem of discretetime impulsive switched port-controlled Hamiltonian systems (DISPCH). First, starting with discrete-time port-controlled Hamiltonian systems, a novel controller is presented to achieve practical FT stability of the obtained closed-loop system. Moreover, in order to well handle the abrupt changes at switch moments in practical switched systems, another novel controller is presented in terms of positive-order Lyapunov functions approach and range dwell time method to make discrete-time impulsive switched port-controlled Hamiltonian system practical FT stable. Ultimately, the validity of proposed methods is illustrated by simulations. https://www.journals.vu.lt/nonlinear-analysis/article/view/34648discrete-time Hamiltonian systemspractical fixed-time stabilizationimpulsive switched systems |
| spellingShingle | Xiangyu Chen Weiwei Sun Xinci Gao Dehay Yu Practical fixed-time stabilization for discrete-time impulsive switched port-controlled Hamiltonian systems Nonlinear Analysis discrete-time Hamiltonian systems practical fixed-time stabilization impulsive switched systems |
| title | Practical fixed-time stabilization for discrete-time impulsive switched port-controlled Hamiltonian systems |
| title_full | Practical fixed-time stabilization for discrete-time impulsive switched port-controlled Hamiltonian systems |
| title_fullStr | Practical fixed-time stabilization for discrete-time impulsive switched port-controlled Hamiltonian systems |
| title_full_unstemmed | Practical fixed-time stabilization for discrete-time impulsive switched port-controlled Hamiltonian systems |
| title_short | Practical fixed-time stabilization for discrete-time impulsive switched port-controlled Hamiltonian systems |
| title_sort | practical fixed time stabilization for discrete time impulsive switched port controlled hamiltonian systems |
| topic | discrete-time Hamiltonian systems practical fixed-time stabilization impulsive switched systems |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/34648 |
| work_keys_str_mv | AT xiangyuchen practicalfixedtimestabilizationfordiscretetimeimpulsiveswitchedportcontrolledhamiltoniansystems AT weiweisun practicalfixedtimestabilizationfordiscretetimeimpulsiveswitchedportcontrolledhamiltoniansystems AT xincigao practicalfixedtimestabilizationfordiscretetimeimpulsiveswitchedportcontrolledhamiltoniansystems AT dehayyu practicalfixedtimestabilizationfordiscretetimeimpulsiveswitchedportcontrolledhamiltoniansystems |