Preview repetitive control with equivalent input disturbance for continuous‐time linear systems

Abstract This paper investigates the problem of preview repetitive control with equivalent‐input‐disturbance for a class of continuous‐time linear systems in the presence of unknown external disturbances. First, an augmented delay system is constructed by using the nominal state equation with error...

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Autores principales:	Yong‐Hong Lan, Jia‐Yu Zhao, Jin‐Hua She
Formato:	article
Lenguaje:	EN
Publicado:	Wiley 2022
Materias:	Control engineering systems. Automatic machinery (General) TJ212-225
Acceso en línea:	https://doaj.org/article/f611bd28769f4bd283e46d93ef9de4a9
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spelling	oai:doaj.org-article:f611bd28769f4bd283e46d93ef9de4a92021-12-02T15:00:29ZPreview repetitive control with equivalent input disturbance for continuous‐time linear systems1751-86521751-864410.1049/cth2.12214https://doaj.org/article/f611bd28769f4bd283e46d93ef9de4a92022-01-01T00:00:00Zhttps://doi.org/10.1049/cth2.12214https://doaj.org/toc/1751-8644https://doaj.org/toc/1751-8652Abstract This paper investigates the problem of preview repetitive control with equivalent‐input‐disturbance for a class of continuous‐time linear systems in the presence of unknown external disturbances. First, an augmented delay system is constructed by using the nominal state equation with error system and the state equation of a modified repetitive controller, which is then transformed into a non‐delayed one by state transformation. Next, by using optimal control theory, a preview repetitive control law is obtained. It is composed of state feedback, tracking error compensation, output of modified repetitive controller and preview compensation. Furthermore, in order to achieve a good disturbance estimation and attenuation performance, by applying the results of the standard equivalent‐input‐disturbance theory, a preview repetitive control law with equivalent‐input‐disturbance is offered for the uncertain system with unknown external disturbance. Finally, the numerical simulation example is provided to illustrate the effectiveness of the proposed method.Yong‐Hong LanJia‐Yu ZhaoJin‐Hua SheWileyarticleControl engineering systems. Automatic machinery (General)TJ212-225ENIET Control Theory & Applications, Vol 16, Iss 1, Pp 125-138 (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Control engineering systems. Automatic machinery (General) TJ212-225
spellingShingle	Control engineering systems. Automatic machinery (General) TJ212-225 Yong‐Hong Lan Jia‐Yu Zhao Jin‐Hua She Preview repetitive control with equivalent input disturbance for continuous‐time linear systems
description	Abstract This paper investigates the problem of preview repetitive control with equivalent‐input‐disturbance for a class of continuous‐time linear systems in the presence of unknown external disturbances. First, an augmented delay system is constructed by using the nominal state equation with error system and the state equation of a modified repetitive controller, which is then transformed into a non‐delayed one by state transformation. Next, by using optimal control theory, a preview repetitive control law is obtained. It is composed of state feedback, tracking error compensation, output of modified repetitive controller and preview compensation. Furthermore, in order to achieve a good disturbance estimation and attenuation performance, by applying the results of the standard equivalent‐input‐disturbance theory, a preview repetitive control law with equivalent‐input‐disturbance is offered for the uncertain system with unknown external disturbance. Finally, the numerical simulation example is provided to illustrate the effectiveness of the proposed method.
format	article
author	Yong‐Hong Lan Jia‐Yu Zhao Jin‐Hua She
author_facet	Yong‐Hong Lan Jia‐Yu Zhao Jin‐Hua She
author_sort	Yong‐Hong Lan
title	Preview repetitive control with equivalent input disturbance for continuous‐time linear systems
title_short	Preview repetitive control with equivalent input disturbance for continuous‐time linear systems
title_full	Preview repetitive control with equivalent input disturbance for continuous‐time linear systems
title_fullStr	Preview repetitive control with equivalent input disturbance for continuous‐time linear systems
title_full_unstemmed	Preview repetitive control with equivalent input disturbance for continuous‐time linear systems
title_sort	preview repetitive control with equivalent input disturbance for continuous‐time linear systems
publisher	Wiley
publishDate	2022
url	https://doaj.org/article/f611bd28769f4bd283e46d93ef9de4a9
work_keys_str_mv	AT yonghonglan previewrepetitivecontrolwithequivalentinputdisturbanceforcontinuoustimelinearsystems AT jiayuzhao previewrepetitivecontrolwithequivalentinputdisturbanceforcontinuoustimelinearsystems AT jinhuashe previewrepetitivecontrolwithequivalentinputdisturbanceforcontinuoustimelinearsystems
_version_	1718389175952080896

Preview repetitive control with equivalent input disturbance for continuous‐time linear systems

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