PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

A new approach to the stabilization problem of linear systems

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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
Twórcy
  • 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
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.