Computation of realizations composed of dynamic and static parts of improper transfer matrices

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

The problem of computing minimal realizations of a singular system decomposed into a standard dynamical system and a static system of a given improper transfer matrix is formulated and solved. A new notion of the minimal dynamical-static realization is introduced. It is shown that there always exists a minimal dynamical-static realization of a given improper transfer matrix. A procedure for the computation of a minimal dynamical-static realization for a given improper transfer matrix is proposed and illustrated by a numerical example.

Słowa kluczowe

EN

minimal realization; decomposition; improper transfer matrix; singular linear system

PL

model minimalny; macierz przejścia; system liniowy singularny

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2007
• Tom: Vol. 17, no 1
• Strony: 23--25
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Kaczorek T.

• Faculty of Electrical Engineering, Białystok Technical University ul. Wiejska 45D, 15–351 Białystok, Poland,

Bibliografia

• [1] Christodoulou M.A. and Mertzios B.G. (1985): Realization of singular systems via Markov parameters. - Int. J. Contr.,Vol. 42, No. 6, pp. 1433-1441.
• [2] Kaczorek T. (1992): Linear Control Systems, Vol. 1. - New York: Wiley.
• [3] Kailath T. (1980): Linear Systems. - Englewood Cliffs: Prentice-Hall
• [4] Roman J.R. and Bullock T.E. (1975): Minimal partial realization in canonical form. - IEEE Trans. Automat. Contr., Vol. AC-20, No. 4, pp. 529-533.
• [5] Sinha Naresk K. (1975): Minimal realization of transfer function matrices: A comparative study of different methods. - Int. J. Contr., Vol. 22, No. 5, pp. 627-639.
• [6] Wolovich W.A. and Guidorsi R. (1977): A general algorithm for determining state-space representations. - Automatica, Vol. 13, pp. 295-229.