Receding horizon control for spatiotemporal dynamic systems

Receding horizon control is a type of optimal feedback control in which control performance over a finite future is optimized with a performance index that has a moving initial time and terminal time. Spatiotemporal dynamic systems characterized by both spatial and temporal variables often occur in...

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Autores principales:	Tomoaki HASHIMOTO, Ryuta SATOH, Toshiyuki OHTSUKA
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2016
Materias:	control systems synthesis design optimal control spatiotemporal dynamics numerical solution Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/df28a1b433e74f2ea2b12fac71a9d97d
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spelling	oai:doaj.org-article:df28a1b433e74f2ea2b12fac71a9d97d2021-11-26T06:40:17ZReceding horizon control for spatiotemporal dynamic systems2187-974510.1299/mej.15-00345https://doaj.org/article/df28a1b433e74f2ea2b12fac71a9d97d2016-02-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/3/2/3_15-00345/_pdf/-char/enhttps://doaj.org/toc/2187-9745Receding horizon control is a type of optimal feedback control in which control performance over a finite future is optimized with a performance index that has a moving initial time and terminal time. Spatiotemporal dynamic systems characterized by both spatial and temporal variables often occur in many research fields. In this study, we develop a novel design method of receding horizon control for a generalized class of spatiotemporal dynamic systems. Using the variational principle, we first derive the exact stationary conditions that must be satisfied for a performance index to be optimized. Next, we provide a numerical algorithm to solve the stationary conditions via a finite-dimensional approximation. Finally, the effectiveness of the proposed method is verified by numerical simulations.Tomoaki HASHIMOTORyuta SATOHToshiyuki OHTSUKAThe Japan Society of Mechanical Engineersarticlecontrol systemssynthesis designoptimal controlspatiotemporal dynamicsnumerical solutionMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 3, Iss 2, Pp 15-00345-15-00345 (2016)
institution	DOAJ
collection	DOAJ
language	EN
topic	control systems synthesis design optimal control spatiotemporal dynamics numerical solution Mechanical engineering and machinery TJ1-1570
spellingShingle	control systems synthesis design optimal control spatiotemporal dynamics numerical solution Mechanical engineering and machinery TJ1-1570 Tomoaki HASHIMOTO Ryuta SATOH Toshiyuki OHTSUKA Receding horizon control for spatiotemporal dynamic systems
description	Receding horizon control is a type of optimal feedback control in which control performance over a finite future is optimized with a performance index that has a moving initial time and terminal time. Spatiotemporal dynamic systems characterized by both spatial and temporal variables often occur in many research fields. In this study, we develop a novel design method of receding horizon control for a generalized class of spatiotemporal dynamic systems. Using the variational principle, we first derive the exact stationary conditions that must be satisfied for a performance index to be optimized. Next, we provide a numerical algorithm to solve the stationary conditions via a finite-dimensional approximation. Finally, the effectiveness of the proposed method is verified by numerical simulations.
format	article
author	Tomoaki HASHIMOTO Ryuta SATOH Toshiyuki OHTSUKA
author_facet	Tomoaki HASHIMOTO Ryuta SATOH Toshiyuki OHTSUKA
author_sort	Tomoaki HASHIMOTO
title	Receding horizon control for spatiotemporal dynamic systems
title_short	Receding horizon control for spatiotemporal dynamic systems
title_full	Receding horizon control for spatiotemporal dynamic systems
title_fullStr	Receding horizon control for spatiotemporal dynamic systems
title_full_unstemmed	Receding horizon control for spatiotemporal dynamic systems
title_sort	receding horizon control for spatiotemporal dynamic systems
publisher	The Japan Society of Mechanical Engineers
publishDate	2016
url	https://doaj.org/article/df28a1b433e74f2ea2b12fac71a9d97d
work_keys_str_mv	AT tomoakihashimoto recedinghorizoncontrolforspatiotemporaldynamicsystems AT ryutasatoh recedinghorizoncontrolforspatiotemporaldynamicsystems AT toshiyukiohtsuka recedinghorizoncontrolforspatiotemporaldynamicsystems
_version_	1718409748802437120

Receding horizon control for spatiotemporal dynamic systems

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