Finite-time asynchronous sliding mode control for Markov jump systems with actuator saturation

This paper deals with the finite-time asynchronous sliding mode control for Markov jump systems subject to actuator saturation. The hidden Markov model is adopted to describe the modal information exchange between the system and the designed controller. A sufficient condition is established by emplo...

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Autores principales:	Yuqin Si, Lijuan Nie, Dongyan Chen, Hairui Zhao
Formato:	article
Lenguaje:	EN
Publicado:	Taylor & Francis Group 2021
Materias:	sliding mode control markov jump systems actuator saturation hidden markov model stochastic finite-time boundedness Control engineering systems. Automatic machinery (General) TJ212-225 Systems engineering TA168
Acceso en línea:	https://doaj.org/article/88d15c9df6734db1b6e2a08f96f24314
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spelling	oai:doaj.org-article:88d15c9df6734db1b6e2a08f96f243142021-11-11T14:23:43ZFinite-time asynchronous sliding mode control for Markov jump systems with actuator saturation2164-258310.1080/21642583.2021.1997671https://doaj.org/article/88d15c9df6734db1b6e2a08f96f243142021-01-01T00:00:00Zhttp://dx.doi.org/10.1080/21642583.2021.1997671https://doaj.org/toc/2164-2583This paper deals with the finite-time asynchronous sliding mode control for Markov jump systems subject to actuator saturation. The hidden Markov model is adopted to describe the modal information exchange between the system and the designed controller. A sufficient condition is established by employing the Lyapunov stability theorem, which guarantees the stochastic finite-time boundedness of sliding mode. In order to mitigate the effects of actuator saturation and chattering, an adaptive sliding mode controller is designed based on the auxiliary saturation compensation system. Subsequently, the reachability of sliding mode motion is analysed. The controller gain matrix is obtained by solving the minimization problem. Finally, a simulation example is used to demonstrate that the proposed control method can effectively restrain the disturbance and compensate saturation.Yuqin SiLijuan NieDongyan ChenHairui ZhaoTaylor & Francis Grouparticlesliding mode controlmarkov jump systemsactuator saturationhidden markov modelstochastic finite-time boundednessControl engineering systems. Automatic machinery (General)TJ212-225Systems engineeringTA168ENSystems Science & Control Engineering, Vol 9, Iss 1 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	sliding mode control markov jump systems actuator saturation hidden markov model stochastic finite-time boundedness Control engineering systems. Automatic machinery (General) TJ212-225 Systems engineering TA168
spellingShingle	sliding mode control markov jump systems actuator saturation hidden markov model stochastic finite-time boundedness Control engineering systems. Automatic machinery (General) TJ212-225 Systems engineering TA168 Yuqin Si Lijuan Nie Dongyan Chen Hairui Zhao Finite-time asynchronous sliding mode control for Markov jump systems with actuator saturation
description	This paper deals with the finite-time asynchronous sliding mode control for Markov jump systems subject to actuator saturation. The hidden Markov model is adopted to describe the modal information exchange between the system and the designed controller. A sufficient condition is established by employing the Lyapunov stability theorem, which guarantees the stochastic finite-time boundedness of sliding mode. In order to mitigate the effects of actuator saturation and chattering, an adaptive sliding mode controller is designed based on the auxiliary saturation compensation system. Subsequently, the reachability of sliding mode motion is analysed. The controller gain matrix is obtained by solving the minimization problem. Finally, a simulation example is used to demonstrate that the proposed control method can effectively restrain the disturbance and compensate saturation.
format	article
author	Yuqin Si Lijuan Nie Dongyan Chen Hairui Zhao
author_facet	Yuqin Si Lijuan Nie Dongyan Chen Hairui Zhao
author_sort	Yuqin Si
title	Finite-time asynchronous sliding mode control for Markov jump systems with actuator saturation
title_short	Finite-time asynchronous sliding mode control for Markov jump systems with actuator saturation
title_full	Finite-time asynchronous sliding mode control for Markov jump systems with actuator saturation
title_fullStr	Finite-time asynchronous sliding mode control for Markov jump systems with actuator saturation
title_full_unstemmed	Finite-time asynchronous sliding mode control for Markov jump systems with actuator saturation
title_sort	finite-time asynchronous sliding mode control for markov jump systems with actuator saturation
publisher	Taylor & Francis Group
publishDate	2021
url	https://doaj.org/article/88d15c9df6734db1b6e2a08f96f24314
work_keys_str_mv	AT yuqinsi finitetimeasynchronousslidingmodecontrolformarkovjumpsystemswithactuatorsaturation AT lijuannie finitetimeasynchronousslidingmodecontrolformarkovjumpsystemswithactuatorsaturation AT dongyanchen finitetimeasynchronousslidingmodecontrolformarkovjumpsystemswithactuatorsaturation AT hairuizhao finitetimeasynchronousslidingmodecontrolformarkovjumpsystemswithactuatorsaturation
_version_	1718438955508039680

Finite-time asynchronous sliding mode control for Markov jump systems with actuator saturation

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