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Abstrakty
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.
Czasopismo
Rocznik
Tom
Strony
119--122
Opis fizyczny
Bibliogr. 14 poz., rys.
Twórcy
autor
- 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
autor
- 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