PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Comparison of approximation methods of positive stable continuous-time linear systems by positive stable discrete-time systems

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The positive asymptotically stable continuous-time linear systems are approximated by corresponding asymptotically stable discrete-time linear systems. Two methods of the approximation are presented and the comparison of the methods is addressed. The considerations are illustrated by three numerical examples and an example of positive electrical circuit.
Rocznik
Strony
345--355
Opis fizyczny
Bibliogr. 15 poz., rys., wz.
Twórcy
autor
  • Faculty of Electrical Engineering Bialystok University of Technology Wiejska 45D, 15-351 Białystok, kaczorek@isep.pw.edu.pl
Bibliografia
  • [1] Berman A., Plemmons R.J., Nonegative Matrices in the Matchematical Sciences. SIAM (1994).
  • [2] Busłowicz M., Stability of linear continuous-time fractional order systems with delays of the retardedtype. Bull. Pol. Acad. Sci. Techn. 56(4): 319-324 (2008).
  • [3] Busłowicz M., Stability analysis of continuous-time linear systems consisting of n subsystems withdifferent fractional orders. Bull. Pol. Acad. Sci. Techn. 60(2): 279-284 (2012).
  • [4] Busłowicz M., Kaczorek T., Simple conditions for practical stability of positive fractional discretetimelineart stystems. Int. J. Appl. Math. Comput. Sci. 19(2): 263-169 (2009).
  • [5] Farina L. Rinaldi S., Positive Linear Systems; Theory and Applications. J. Wiley, New York (2000).
  • [6] Gantmakher F.R., Theory of Matrices. Chelsea Pub. Co., New York (1959).
  • [7] Kaczorek T., Approximation of positive stable continuous-time linear systems by positive stable discrete-time systems. Pomiary Automatyka Robotyka 2: 359-364 (2013).
  • [8] Kaczorek T., Positive 1D and 2D Systems. Springer Verlag, London (2002).
  • [9] Kaczorek T., Relationship between the value of discretization step and positivity and stabilization oflinear dynamic systems. Proc. of Conf. Simulation, Designing and Control of Foundry Processes, Krakow, Aachen, Sofia, pp. 33-39 (1999).
  • [10] Kaczorek T., Positive electrical circuits and their reachability. Archives of Electrical Engineering 60(3): 283-301 (2011), and also Selected classes of positive electrical circuits and their reachability. Monograph Computer Application in Electrical Engineering, Poznan University of Technology, Poznan (2012).
  • [11] Kaczorek T., Vectors and Matrices in Automation and Electrotechnics. WNT, Warszawa (1998) (in Polish).
  • [12] Kaczorek T., Selected Problems of Fractional System Theory. Springer Verlag, Berlin (2011).
  • [13] Tokarzewski J., Finite zeros of positive linear discrete-time systems. Bull. Pol. Acad. Sci. Tech. 59(3): 287-292 (2011).
  • [14] Tokarzewski J., Finite zeros of positive continuous-time systems. Bull. Pol. Acad. Sci. Tech. 59(3): 2293-302 (2011).
  • [15] Tokarzewski J., Finite Zeros in Discrete-Time Control Systems. Springer-Verlag, Berlin (2006).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-1f4ee4c3-519b-4196-981d-2df4d0191ae1
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.