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

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Warianty tytułu
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.
Rocznik
Strony
119--122
Opis fizyczny
Bibliogr. 14 poz., rys.
Twórcy
  • Faculty of Electrical Enginering, Białystok University of Technology ul. Wiejska 45D, Białystok, Poland
autor
  • Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, ul. Bałtycka 5, Gliwice, Poland
  • Faculty of Electrical Engineering, Warsaw University of Technology, ul. Koszykowa 75, Warszawa, Poland
Bibliografia
  • 1. Kalman RE. On the general theory of control systems. In Proceed-ings of the 1st IFAC Congress on Automatic Control, pages 481-492. IFAC, 1960.
  • 2. Kalman RE. Mathematical description of linear dynamical systems. SIAM Journal on Control, Series A, 1(2):152-192, 1963.
  • 3. Klamka J. Controllability of dynamical systems - a survey. Archives of Control Sciences, 2(34):281-307, 1993.
  • 4. Klamka J. Controllability of dynamical systems. A survey. Bulletin of the Polish Academy of Sciences Technical Sciences, 61(2):221-229, 2013.
  • 5. Klamka J. Controllability and Minimum Energy Control. Studies in Systems, Decision, and Control. Springer, 2018.
  • 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.
  • 10. Zak S. Systems and control. Oxford Univesity Press, 2003.
  • 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.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-b2329e35-b1ac-4eb1-9412-73481d178b8e
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