Realization problem for positive discrete-time systems with delays

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

The realization problem for positive, discrete-time linear single-input, single-output systems with many delays is formulated and solved. Sufficient conditions for the existence of positive realizations of a given proper rational function are established. A procedure for computation of minimal positive realizations is presented and illustrated by an example.

Słowa kluczowe

EN

positive discrete-time systems; delays; linear system; single-input single-output systems

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 2004
• Tom: Vol. 30, no 4
• Strony: 17--30
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Kaczorek T.

• Warsaw University of Technology, Institute of Control and Industrial Electronics, Koszykowa 75, 00-662 Warsaw,

Bibliografia

• [1] Benvenuti L., Farina L., A tutorial on the positive realization problem, IEEE Trans. Autom. Control, Vol. 49, No. 5, 2004, 651-664.
• [2] Busłowicz M., Explicit solution of discrete-delay equations. Foundations of Control Engineering, Vol. 7, No. 2, 1982, 67-71.
• [3] Busłowicz M., Kaczorek T., Reachability and minimum energy control of positive linear discrete-time systems with one delay, 12th Mediterranean Conference on Control and Automation, June 6-9, 2004, Kasadasi, Izmir, Turkey.
• [4] Farina L., Rinaldi S., Positive Linear Systems- Theory and Applications, J. Wiley, New York 2000.
• [5] Kaczorek T., Positive ID and 2D Systems, Springer-Verlag, London 2002.
• [6] Kaczorek T., Some recent developments in positive systems. Proc. 7th Conference of Dynamical Systems Theory and Applications, Łódź 2003, 25-35.
• [7] Kaczorek T., Busłowicz M., Minimal realization for positive multivariable linear systems with delay. Int. J. Appl. Math. Comput. Sei., Vol. 14, No. 2, 2004, 181-187.
• [8] Xie G., Wang L., Reachability and controllability of positive linear discrete-time systems with time-delays, [in:] L. Benvenuti, A. De Santis and L. Farina (eds); Positive Systems, LNCIS 294, Springer-Verlag, Berlin 2003, 377-384.