Minimum energy control of positive 2D continuous-discrete linear systems with bounded inputs

A new formulation of the minimum energy control problem for the positive 2D continuous-discrete linear systems with bounded inputs is proposed. Necessary and sufficient conditions for the reachability of the systems are established. Conditions for the existence of the solution to the minimum energy...

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Main Author:	Kaczorek Tadeusz
Format:	Article
Language:	English
Published:	Polish Academy of Sciences 2015-09-01
Series:	Archives of Control Sciences
Subjects:	2D continuous-discrete linear positive reachability minimum energy control
Online Access:	http://www.degruyter.com/view/j/acsc.2015.25.issue-3/acsc-2015-0021/acsc-2015-0021.xml?format=INT

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spelling	doaj-d02b605c0d7f4487b11f3d8bdd7b49572020-11-25T03:55:43ZengPolish Academy of SciencesArchives of Control Sciences2300-26112015-09-0125331933110.1515/acsc-2015-0021acsc-2015-0021Minimum energy control of positive 2D continuous-discrete linear systems with bounded inputsKaczorek Tadeusz0Bialystok University of Technology, Faculty of Electrical Engineering, Wiejska 45D, 15-351 BialystokA new formulation of the minimum energy control problem for the positive 2D continuous-discrete linear systems with bounded inputs is proposed. Necessary and sufficient conditions for the reachability of the systems are established. Conditions for the existence of the solution to the minimum energy control problem and a procedure for computation of an input minimizing the given performance index are given. Effectiveness of the procedure is demonstrated on numerical example.http://www.degruyter.com/view/j/acsc.2015.25.issue-3/acsc-2015-0021/acsc-2015-0021.xml?format=INT2D continuous-discretelinearpositivereachabilityminimum energy control
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Kaczorek Tadeusz
spellingShingle	Kaczorek Tadeusz Minimum energy control of positive 2D continuous-discrete linear systems with bounded inputs Archives of Control Sciences 2D continuous-discrete linear positive reachability minimum energy control
author_facet	Kaczorek Tadeusz
author_sort	Kaczorek Tadeusz
title	Minimum energy control of positive 2D continuous-discrete linear systems with bounded inputs
title_short	Minimum energy control of positive 2D continuous-discrete linear systems with bounded inputs
title_full	Minimum energy control of positive 2D continuous-discrete linear systems with bounded inputs
title_fullStr	Minimum energy control of positive 2D continuous-discrete linear systems with bounded inputs
title_full_unstemmed	Minimum energy control of positive 2D continuous-discrete linear systems with bounded inputs
title_sort	minimum energy control of positive 2d continuous-discrete linear systems with bounded inputs
publisher	Polish Academy of Sciences
series	Archives of Control Sciences
issn	2300-2611
publishDate	2015-09-01
description	A new formulation of the minimum energy control problem for the positive 2D continuous-discrete linear systems with bounded inputs is proposed. Necessary and sufficient conditions for the reachability of the systems are established. Conditions for the existence of the solution to the minimum energy control problem and a procedure for computation of an input minimizing the given performance index are given. Effectiveness of the procedure is demonstrated on numerical example.
topic	2D continuous-discrete linear positive reachability minimum energy control
url	http://www.degruyter.com/view/j/acsc.2015.25.issue-3/acsc-2015-0021/acsc-2015-0021.xml?format=INT
work_keys_str_mv	AT kaczorektadeusz minimumenergycontrolofpositive2dcontinuousdiscretelinearsystemswithboundedinputs
_version_	1724468595340083200

Minimum energy control of positive 2D continuous-discrete linear systems with bounded inputs

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