Controllability and observability of the descriptor linear systems reduced to the standard ones by feedbacks

• Autorzy: Kaczorek, Tadeusz , Klamka, Jerzy , Dzieliński, Andrzej
• Języki publikacji: EN

Abstrakty

EN

In this paper, a new method for the reduction of the descriptor linear systems to standards ones is presented and verified. The method uses a state and/or state derivative feedback of output and output derivative feedback in order to transform the descriptor system into a standard one. The controllability and observability properties of the original descriptor as well as transformed standard systems are proved. Simple numerical examples illustrate the theorems introduced.

Słowa kluczowe

EN

controllability and observability; descriptor linear systems; state feedback; state derivative feedback; standard linear systems

• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2024
• Tom: Vol. 18, no. 1
• Strony: 119--122
• Opis fizyczny: Bibliogr. 14 poz., rys.

Twórcy

autor

Kaczorek, Tadeusz

• Faculty of Electrical Enginering, Białystok University of Technology ul. Wiejska 45D, Białystok, Poland,

autor

Klamka, Jerzy

• Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, ul. Bałtycka 5, Gliwice, Poland,

autor

Dzieliński, Andrzej

• Faculty of Electrical Engineering, Warsaw University of Technology, ul. Koszykowa 75, Warszawa, Poland,

Bibliografia

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• 6. Kaczorek T, Klamka J. Convex linear combination of the controllabil-ity pairs for linear systems. Control and Cybernetics, 50(1):1-11, 2021.
• 7. Kaczorek T, Klamka J, Dzieliński A. Controllability of linear convex combination of linear discrete-time fractional systems. Bulletin of the Polish Academy of Sciences Technical Sciences, 70(5):1-6, 2022.
• 8. Kailath T. Linear systems. Prentice Hall, 1980.
• 9. Kaczorek T. Linear control systems. Wiley, 1992.
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• 11. Dai L. Singular Control Systems. Springer Berlin, Heidelberg, 1989.
• 12. Duan GR. Analysis and Design of Descriptor Linear Systems. Springer New York, 2010.
• 13. Borawski K, Kaczorek T. Descriptor Systems of Integer and Frac-tional Orders. Springer Cham, 2021.
• 14. Kaczorek T, Borawski K. Descriptor Systems of Integer and Frac-tional Orders. Springer, 2021.

Identyfikatory

DOI

10.2478/ama-2024-0015