Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
New approaches to the transformations of the discrete-time linear systems to their positive asymptotically stable canonical controllable (observable) forms is proposed. It is shown that if the matrix A of the system is nonsingular then the desired transformation matrix can be chosen in block diagonal form. Procedures for computation of the transformation matrices are proposed and illustrated by simple numerical examples.
Słowa kluczowe
Rocznik
Tom
Strony
23--34
Opis fizyczny
Bibliogr. 19 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] Farina L.and Rinaldi S., Positive Linear Systems, J.Wiley, New York 2000.
- [4] Gantmacher F.R., The Theory of Matrices. Chelsea Pub. Comp., London, 1959.
- [5] Kaczorek T., Eigenvalues assignment in uncontrollable linear systems. Bull. Pol. Ac.: 73, 2022.
- [6] Kaczorek T. Linear Control Systems, vol. 1 and 2, Reaserch Studies Press LTD, J. Wiley, New York 1992.
- [7] Kaczorek T., Positive 1D and 2D Systems, Springer Verlag, London, 2002.
- [8] Kaczorek T., Transformations of the matrices of linear systems to their canonical form with desired eigenvalues, Bull. Pol. Acad. Sci. Tech. Sci., vol. 71, no. 6, p. e147342, 2023.
- [9] Kaczorek T. and Borawski K., Descriptor Systems of Integer and Fractional Orders, Springer, Switzerland, 2021.
- [10] Kaczorek T and Rogowski, Fractional Linear Systems and Electrical Circuits, Springer, Switzerland 2015.
- [11] Kailath T., Linear Systems, Prentice-Hall, Englewood Cliffs, New York 1980.
- [12] Kalman R.E., On the general theory of control systems, Proceedings of the IFAC Congress Automatic Control, zp. 481-492, 1960.
- [13] Kalman R.E., Mathematical description of linear dynamical systems, SIAM Journal of Control, Series A, 152-192, 1963.
- [14] Klamka J., Controllability of Dynamical Systems, Kluwer Academic Publishers, Dordrecht 1991.
- [15] Klamka J., Controllability and Minimum Energy Control, Studies in Systems, Decision and Control. vol.162. Springer Verlag 2018.
- [16] Mitkowski W., Outline of Control Theory, Publishing House AGH, Krakow, 2019.
- [17] Sajewski Łukasz, Decentralized Stabilization of Descriptor Fractional Positive Discrete-Time Linear Systems with Delays W: Automation 2018 : Advances in Automation, Robotics and Measurement Techniques / Roman Szewczyk, Zieliński Cezary , Kaliczyńska Małgorzata (red.), Advances in Intelligent Systems and Computing, 2018, vol. 743, Cham, Springer, s.276-287, DOI:10.1007/978-3-319-77179-3_26
- [18] 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.
- [19] Zak, S., Systems and Control, Oxford University Press, New York 2003.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-c697607e-d777-4785-b39e-9e04a2730c8a
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