Minimum energy control of fractional descriptor positive discrete-time linear systems

Kaczorek, T.

International Journal of Applied Mathematics and Computer Science, Tome 24 (2014) no. 4, pp. 735-743.

Résumé

Necessary and sufficient conditions for the positivity and reachability of fractional descriptor positive discrete-time linear systems are established. The minimum energy control problem for descriptor positive systems is formulated and solved. Sufficient conditions for the existence of a solution to the minimum energy control problem are given. A procedure for computation of optimal input sequences and a minimal value of the performance index is proposed and illustrated by a numerical example.

Détail

Keywords: fractional system, descriptor system, positive system, minimum energy control
Mots-clés : układ ułamkowy, układ deskrypcyjny, układ dodatni, sterowanie energooszczędne

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