Realization problem for a class of positive continuous-time systems with delays

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

The realization problem for a class of positive, continuous-time linear SISO systems with one delay is formulated and solved. Sufficient conditions for the existence of positive realizations of a given proper transfer function are established. A procedure for the computation of positive minimal realizations is presented and illustrated by an example.

Słowa kluczowe

EN

positive realization; continuous-time system; delay; existence; computation

PL

realizacja dodatnia; układ ciągły; opóźnienie; obliczanie

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2005
• Tom: Vol. 15, no 4
• Strony: 447--453
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Kaczorek T.

• Warsaw University of Technology, Institute of Control and Industrial Electronics, Koszykowa 75, 00–662 Warszawa, Poland,

Bibliografia

• [1] Benvenuti L. and Farina L. (2004): A tutorial on the positive realization problem. — IEEE Trans. Automat. Contr., Vol. 49, No. 5, pp. 651–664.
• [2] Busłowicz M. (1982): Explicit solution of discrete-delay equations. —Found. Contr. Eng., Vol. 7, No. 2, pp. 67–71.
• [3] Busłowicz M. and Kaczorek T. (2004): Reachability and minimum energy control of positive linear discrete-time systems with one delay. — Proc. 12-th Mediterranean Conf. Control and Automation, Kasadasi, Izmir, Turkey, (on CD–ROM).
• [4] Farina L. and Rinaldi S.(2000): Positive Linear Systems, Theory and Applications. — New York: Wiley.
• [5] Kaczorek T. (2002): Positive 1D and 2D Systems. — London: Springer.
• [6] Kaczorek T. (2003): Some recent developments in positive systems. — Proc. 7-th Conf. Dynamical Systems Theory and Applications, Łód´z, Poland, pp. 25–35.
• [7] Kaczorek T. and Busłowicz M. (2004): Minimal realization for positive multivariable linear systems with delay. — Int. J. Appl. Math. Comput. Sci., Vol. 14, No. 2, pp. 181–187.
• [8] Xie G. and Wang L. (2003): Reachability and controllability of positive linear discrete-time systems with time-delays, In: Positive Systems (L. Benvenuti, A. De Santis and L. Farina, Eds.).—Berlin: Springer, pp. 377–384.