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

• Autorzy: Tadeusz Kaczorek
• 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

decomposition   minimal realization   improper transfer matrix   singular linear system  

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2007
• Tom: 17
• Numer: 1
• Strony: 23-25

Daty

wydano

2007

otrzymano

2006-12-20

Twórcy

autor

Tadeusz Kaczorek

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

Bibliografia

• 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.
• Kaczorek T. (1992): Linear Control Systems, Vol.1. - New York: Wiley.
• Kailath T. (1980): Linear Systems. - Englewood Cliffs: Prentice-Hall
• 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.
• 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.
• Wolovich W.A. and Guidorsi R. (1977): A general algorithm for determining state-space representations. - Automatica, Vol.13, pp.295-199