Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
A new approach for the stabilization of the linear continuous-time and discrete-time systems is proposed. The desired asymptotically stable state matrices of the linear systems are obtained by pre-multiplication and post-multiplication of the system matrix by suitable square matrix. Procedures for computation of the matrices are given and illustrated by simple numerical examples.
Słowa kluczowe
Rocznik
Tom
Strony
7--22
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
autor
- Bialystok University of Technology, Faculty of Electrical Engineering, Bialystok, Poland
Bibliografia
- [1] Antsaklis P.J and Michel A.N., Linear Systems, Birkhauser, Boston 1997.
- [2] Hautus M.L.J. and Heymann M., Linear Feedback-An Algebraic Approach, SIAM j.Contr. and Optim. 1978, vol.16, no1, 83-105.
- [3] Gantmacher F.R., The Theory of Matrices. Chelsea Pub. Comp., London, 1959.
- [4] Kaczorek T., Eigenvalues assignment in uncontrollable linear systems, Bull. Pol. Ac.: vol.70,no.2, 2022.
- [5] Kaczorek T. Linear Control Systems, vol. 1 and 2,Reaserch Studies Press LTD, J.Wiley, New York 1992.
- [6] Kaczorek T., Borawski K., Descriptor Systems of Integer and Fractional Orders. Studies in Systems, Springer 2021.
- [7] Kaczorek T.,Rogowski K .,Fractional Linear Systems and Electrical Circuits. Studies in Systems, Springer, 2015
- [8] Kailath T., Linear Systems, Prentice-Hall, Englewood Cliffs, New York 1980.
- [9] Kalman R.E., On the general theory of control systems, Proceedings of the IFAC Congress Automatic Control, pp. 481-492, 1960.
- [10] Kalman R.E., Mathematical description of linear dynamical systems, SIAM Journal of Control, Series A, 152-192, 1963.
- [11] Klamka J., Controllability of Dynamical Systems, Kluwer Academic Publishers, Dordrecht 1991.
- [12] Klamka J., Controllability and Minimum Energy Control, Studies in Systems, Decision and Control. vol.162. Springer Verlag 2018.
- [13] Mitkowski W., Outline of Control Theory, Publishing House AGH, Krakow, 2019.
- [14] Sajewski L., Stabilization of positive descriptor fractional discrete-time linear system with two different fractional orders by decentralized controller, Bull. Pol. Ac.: 65(5), 709-714, 2017.
- [15] Zak, S., Systems and Control, Oxford University Press, New York 2003.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0db7f0b6-bd14-484a-8f7b-c8580e9eaaf0
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