Open AccessMinimum energy control of positive fractional descriptor continuous‐time linear systems
Author(s) -
Kaczorek Tadeusz
Publication year - 2014
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2013.0362
Subject(s) - control theory (sociology) , energy (signal processing) , control (management) , linear control systems , linear system , computer science , mathematics , artificial intelligence , mathematical analysis , statistics
Necessary and sufficient conditions for the positivity and reachability of fractional descriptor continuous‐time linear systems are established. The minimum energy control problem for the fractional positive descriptor systems is formulated and solved. Procedure for computation of the optimal inputs and minim value of the performance index is proposed and illustrated by a numerical example.