Minimum energy control of descriptor discrete-time linear systems by the use of Weierstrass-Kronecker decomposition

Tadeusz Kaczorek , Kamil Borawski

Abstract

The minimum energy control problem for the descriptor discrete-time linear systems by the use of Weierstrass-Kronecker decomposition is formulated and solved. Necessary and sufficient conditions for the reachability of descriptor discrete-time linear systems are given. A procedure for computation of optimal input and a minimal value of the performance index is proposed and illustrated by a numerical example.
Author Tadeusz Kaczorek (FoEE / ICIE) - [Bialystok University of Technology (PB)]
Tadeusz Kaczorek,,
- The Institute of Control and Industrial Electronics
- Politechnika Białostocka
, Kamil Borawski
Kamil Borawski,,
-
Journal seriesARCHIVES OF CONTROL SCIENCES, ISSN 2300-2611
Issue year2016
Vol26
No2
Pages177-187
Publication size in sheets0.5
Keywords in Englishdescriptor; discrete-time; linear; system; Weierstrass-Kronecker decomposition; minimum energy control
DOIDOI:10.1515/acsc-2016-0010
LanguageEnglish
Score (nominal)0
Score sourcejournalList
ScoreMinisterial score = 0.0, 11-07-2020, ArticleFromJournal
Ministerial score (2013-2016) = 0.0, 11-07-2020, ArticleFromJournal
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