Realization problem for positive multivariable continuous-time systems with delays

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

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

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 2007
• Tom: Vol. 33, no 3
• Strony: 31--37
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Kaczorek T.

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

Bibliografia

• [1] Benvenuti L., Farina L., A tutorial on the positive realization problem, IEEE Trans. Autom. Control, Vol. 49, No. 5, 2004, pp. 651-664.
• [2] Buslowicz M., Explicit solution of discrete-delay equations, Foundations of Control Engineering, Vol. 7, No. 2, 1982, pp. 67-71.
• [3] Buslowicz M., Kaczorek T., Reachability and minimum energy control of positive linear discrete-time systems with one delay, 12th Mediterranean Conf. 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] Górecki H., Fuksa S., Grabowski P., Korytkowski A., Analysis and Synthesis of Time delay Systems, PWN and J. Wiley, Warszawa, 1989.
• [6] Kaczorek T., Positive ID and 2D Systems, Springer-Verlag, London, 2002.
• [7] Kaczorek T., Some recent developments in positive systems, Proc. 7th Conf. Dynamical Systems Theory and Applications, Łódź, 2003, pp. 25-35.
• [8] Kaczorek T., Realization problem for positive discrete-time systems with delay. System Science, Vol. 30, No. 4, 2005.
• [9] Kaczorek T., Realization problem for positive continuous-time systems with delays, Proc. Int. Conf. Systems Engineering, August 16-18, Las Vegas, USA, 2005.
• [10] Kaczorek T., Buslowicz M., Minimal realization for positive multivariable linear systems with delay, Int. J. Appl. Math. Comput. Sci., Vol. 14, No 2, 2004, pp. 181-187
• [11] Kaczorek T., Buslowicz M., Reachability and minimum energy control of positive discrete-time linear systems with multiple delay in state and control.
• [12] Korbicz J.M., Kościelny Z., Kowalczuk W., Fault Diagnosis; Models, Artificial Intelligence, Applications, Springer-Verlag, Berlin-Heidelberg, 2004.
• [13] Xie G., and Wang L., Reachability and controllability of positive linear discrete-time systems with time-delays, [in:] L. Benvenuti, A. De Santis, L. Farina (eds.), Positive Systems, LNCIS 294, Springer-Verlag, Berlin, 2003, pp. 377-384.