Constrained tracking control by continuous resets of the state of a gain-scheduled controller

In this paper, a tracking control problem for discrete-time linear systems with actuator saturation is addressed. Firstly, a design condition of a controller parameterized by a single scheduling parameter is introduced. The proposed controller includes an integrator to achieve the zero steady-state...

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Autor principal:	Nobutaka WADA
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2014
Materias:	tracking saturation reset gain-scheduling lmis Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/5387eef76c664f1aa7e2fd7a0822b154
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spelling	oai:doaj.org-article:5387eef76c664f1aa7e2fd7a0822b1542021-11-26T06:05:34ZConstrained tracking control by continuous resets of the state of a gain-scheduled controller2187-974510.1299/mej.2014dr0012https://doaj.org/article/5387eef76c664f1aa7e2fd7a0822b1542014-06-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/1/3/1_2014dr0012/_pdf/-char/enhttps://doaj.org/toc/2187-9745In this paper, a tracking control problem for discrete-time linear systems with actuator saturation is addressed. Firstly, a design condition of a controller parameterized by a single scheduling parameter is introduced. The proposed controller includes an integrator to achieve the zero steady-state error in the case where a step reference signal is applied. Then a gain-scheduled control algorithm that guarantees closed-loop stability and makes the tracking error converge to zero in the case of a step reference signal is proposed. In the proposed control algorithm, the scheduling parameter and the state of the controller are determined on-line so that the tracking control performance is improved. The scheduling parameter and the state of the controller are computed simultaneously by solving a convex optimization problem with a linear matrix inequality constraint. Two numerical examples are provided to illustrate effectiveness of the proposed control algorithm.Nobutaka WADAThe Japan Society of Mechanical Engineersarticletrackingsaturationresetgain-schedulinglmisMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 1, Iss 3, Pp DR0012-DR0012 (2014)
institution	DOAJ
collection	DOAJ
language	EN
topic	tracking saturation reset gain-scheduling lmis Mechanical engineering and machinery TJ1-1570
spellingShingle	tracking saturation reset gain-scheduling lmis Mechanical engineering and machinery TJ1-1570 Nobutaka WADA Constrained tracking control by continuous resets of the state of a gain-scheduled controller
description	In this paper, a tracking control problem for discrete-time linear systems with actuator saturation is addressed. Firstly, a design condition of a controller parameterized by a single scheduling parameter is introduced. The proposed controller includes an integrator to achieve the zero steady-state error in the case where a step reference signal is applied. Then a gain-scheduled control algorithm that guarantees closed-loop stability and makes the tracking error converge to zero in the case of a step reference signal is proposed. In the proposed control algorithm, the scheduling parameter and the state of the controller are determined on-line so that the tracking control performance is improved. The scheduling parameter and the state of the controller are computed simultaneously by solving a convex optimization problem with a linear matrix inequality constraint. Two numerical examples are provided to illustrate effectiveness of the proposed control algorithm.
format	article
author	Nobutaka WADA
author_facet	Nobutaka WADA
author_sort	Nobutaka WADA
title	Constrained tracking control by continuous resets of the state of a gain-scheduled controller
title_short	Constrained tracking control by continuous resets of the state of a gain-scheduled controller
title_full	Constrained tracking control by continuous resets of the state of a gain-scheduled controller
title_fullStr	Constrained tracking control by continuous resets of the state of a gain-scheduled controller
title_full_unstemmed	Constrained tracking control by continuous resets of the state of a gain-scheduled controller
title_sort	constrained tracking control by continuous resets of the state of a gain-scheduled controller
publisher	The Japan Society of Mechanical Engineers
publishDate	2014
url	https://doaj.org/article/5387eef76c664f1aa7e2fd7a0822b154
work_keys_str_mv	AT nobutakawada constrainedtrackingcontrolbycontinuousresetsofthestateofagainscheduledcontroller
_version_	1718409776362160128

Constrained tracking control by continuous resets of the state of a gain-scheduled controller

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