An extension of Klamka's method to positive descriptor discrete-time linear systems with bounded inputs

Tadeusz Kaczorek

Abstract

The minimum energy control problem for the positive descriptor discrete-time linear systems with bounded inputs by the use of Weierstrass-Kronecker decomposition is formulated and solved. Necessary and sufficient conditions for the positivity and reachability of descriptor discrete-time linear systems are given. Conditions for the existence of solution and procedure for computation of optimal input and the minimal value of the performance index is proposed and illustrated by a numerical example.
Author Tadeusz Kaczorek (FoEE / ICIE) - [Politechnika Bialostocka]
Tadeusz Kaczorek,,
- The Institute of Control and Industrial Electronics
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Journal seriesARCHIVES OF CONTROL SCIENCES, ISSN 2300-2611, (0 pkt)
Issue year2018
Vol28
No2
Pages255-268
Publication size in sheets0.65
Keywords in Englishdescriptor; positive; discrete-time; linear; system; Weierstrass-Kronecker decomposition; minimum energy control
DOIDOI:10.24425/123459
LanguageEnglish
Score (nominal)5
ScoreMinisterial score = 5.0, 24-07-2019, ArticleFromJournal
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