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

• Autorzy: Kaczorek T.

Identyfikatory

DOI

10.24425/123459

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

descriptor; positive; discrete-time; linear; system; Weierstrass-Kronecker decomposition; minimum energy control

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2018
• Tom: Vol. 28, No. 2
• Strony: 255--268
• Opis fizyczny: Bibliogr. 33 poz., rys., wzory

Twórcy

autor

Kaczorek T.

• Białystok University of Technology, Faculty of Electrical Engineering, Wiejska 45D, 15-351 Białystok, Poland

Bibliografia

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Uwagi

EN

This work was supported by National Science Centre in Poland under work No. 2014/13/B/ST7/03467.

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).