Adaptive Finite-Time Control Design for a Class of Uncertain Nonlinearly Parameterized Switched Systems
This paper focuses on the finite-time control issue for a class of uncertain nonlinearly parameterized systems under arbitrary switching. By using the adding a power integrator technique (APIT), a new adaptive controller with a tuning parameter is designed. Different from the previous results, we de...
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Format: | Article |
Language: | English |
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IEEE
2019-01-01
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Series: | IEEE Access |
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Online Access: | https://ieeexplore.ieee.org/document/8766098/ |
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author | Jian Wu Xiaoli Yang Chunsheng Zhang Jing Li |
author_facet | Jian Wu Xiaoli Yang Chunsheng Zhang Jing Li |
author_sort | Jian Wu |
collection | DOAJ |
description | This paper focuses on the finite-time control issue for a class of uncertain nonlinearly parameterized systems under arbitrary switching. By using the adding a power integrator technique (APIT), a new adaptive controller with a tuning parameter is designed. Different from the previous results, we develop a new common Lyapunov function (CLF) with a tuning parameter to achieve the global finite-time stability (GFTS) for the closed-loop switched systems. It is proved that all the states of the considered switched systems converge to an equilibrium state in finite time. Some simulations are given to illustrate the feasibility and advantages of the suggested approach. |
first_indexed | 2024-12-20T07:57:22Z |
format | Article |
id | doaj.art-05769ca770114b129a31b48104ba14ed |
institution | Directory Open Access Journal |
issn | 2169-3536 |
language | English |
last_indexed | 2024-12-20T07:57:22Z |
publishDate | 2019-01-01 |
publisher | IEEE |
record_format | Article |
series | IEEE Access |
spelling | doaj.art-05769ca770114b129a31b48104ba14ed2022-12-21T19:47:37ZengIEEEIEEE Access2169-35362019-01-017959419594910.1109/ACCESS.2019.29298418766098Adaptive Finite-Time Control Design for a Class of Uncertain Nonlinearly Parameterized Switched SystemsJian Wu0https://orcid.org/0000-0003-1508-7105Xiaoli Yang1Chunsheng Zhang2Jing Li3https://orcid.org/0000-0003-3668-1162National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou, ChinaSchool of Mathematics and Statistics, Xidian University, Xi’an, ChinaThe University Key Laboratory of Intelligent Perception and Computing of Anhui Province, Anqing Normal University, Anqing, ChinaSchool of Mathematics and Statistics, Xidian University, Xi’an, ChinaThis paper focuses on the finite-time control issue for a class of uncertain nonlinearly parameterized systems under arbitrary switching. By using the adding a power integrator technique (APIT), a new adaptive controller with a tuning parameter is designed. Different from the previous results, we develop a new common Lyapunov function (CLF) with a tuning parameter to achieve the global finite-time stability (GFTS) for the closed-loop switched systems. It is proved that all the states of the considered switched systems converge to an equilibrium state in finite time. Some simulations are given to illustrate the feasibility and advantages of the suggested approach.https://ieeexplore.ieee.org/document/8766098/Switched nonlinear systemfinite-time stabilitypower integratorsnonlinear parametrizationadaptive control |
spellingShingle | Jian Wu Xiaoli Yang Chunsheng Zhang Jing Li Adaptive Finite-Time Control Design for a Class of Uncertain Nonlinearly Parameterized Switched Systems IEEE Access Switched nonlinear system finite-time stability power integrators nonlinear parametrization adaptive control |
title | Adaptive Finite-Time Control Design for a Class of Uncertain Nonlinearly Parameterized Switched Systems |
title_full | Adaptive Finite-Time Control Design for a Class of Uncertain Nonlinearly Parameterized Switched Systems |
title_fullStr | Adaptive Finite-Time Control Design for a Class of Uncertain Nonlinearly Parameterized Switched Systems |
title_full_unstemmed | Adaptive Finite-Time Control Design for a Class of Uncertain Nonlinearly Parameterized Switched Systems |
title_short | Adaptive Finite-Time Control Design for a Class of Uncertain Nonlinearly Parameterized Switched Systems |
title_sort | adaptive finite time control design for a class of uncertain nonlinearly parameterized switched systems |
topic | Switched nonlinear system finite-time stability power integrators nonlinear parametrization adaptive control |
url | https://ieeexplore.ieee.org/document/8766098/ |
work_keys_str_mv | AT jianwu adaptivefinitetimecontroldesignforaclassofuncertainnonlinearlyparameterizedswitchedsystems AT xiaoliyang adaptivefinitetimecontroldesignforaclassofuncertainnonlinearlyparameterizedswitchedsystems AT chunshengzhang adaptivefinitetimecontroldesignforaclassofuncertainnonlinearlyparameterizedswitchedsystems AT jingli adaptivefinitetimecontroldesignforaclassofuncertainnonlinearlyparameterizedswitchedsystems |