Computation of minimal realizations for compartmental linear systems

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

A new method for computation of minimal compartmental realizations of a proper transfer function is proposed. The method is based on a suitable transformation of an asymptotically stable positive realization to the desired compartmental realization. The transformation is characterized by a generalized permutation matrix. Sufficient conditions for the existence of minimal compartmental realizations are established. Two-step procedures for computation of minimal compartmental realizations for both continuous-time and discrete-time linear systems are derived and illustrated by a numerical example.

Słowa kluczowe

EN

linear control systems; computation theory; transfer functions; problem solving; mathematical models; matrix algebra; mathematical operators

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 2003
• Tom: Vol. 29, nr 1
• Strony: 15--29
• Opis fizyczny: Bibliogr. 7 poz.,

Twórcy

autor

Kaczorek T.

• Inst. of Contr./Indust. Electronics, Warsaw Technical University, Faculty of Electrical Engineering, 00-662 Warszawa, Poland

Bibliografia

• [1] Astolfi A., Colaneri P., A note on existence of positive realizations, Proc. of the American Control Conf., 2002.
• [2] Buenvenuti L., Farina L., Positive and compartmental systems, IEEE Trans. Automat. Contr., Vol. 47, No. 2, 2002, 370-373.
• [3] Benvenuti L., Farina L., Anderson B. D. O., De Bruyne F., Minimal positive realizations of transfer functions with positive real poles, IEEE Trans. Circ. and Syst. I: Fundamental Theory and Applications, Vol. 47, 2000, 1370-1377.
• [4] Farina L., On the existence of positive realizations. Systems and Control Letters, Vol. 28, 1996, 219-226.
• [5] Farina L., Rinaldi S., Positive Linear Systems, Theory and Applications, J. Wiley, New York 2000.
• [6] Kaczorek T., Positive ID and 2D Systems, Springer-Verlag, London 2002.
• [7] Van Den Hop J. M., Positive linear observers for linear compartmental systems, SIAM J. Control. Optim., Vol. 36, No 2, 1998, 590-608