Title :
A state-space realization for matrix fraction descriptions: applications to model order reduction and circuit synthesis
Author :
Resende, P. ; Kaskurewicz, E. ; Hsu, L.
Author_Institution :
Dept. of Electron. Eng., Minas Gerais Fed. Univ., Brazil
Abstract :
An algebraic algorithm for a block-tridiagonal realization has been utilized to provide a matrix continued fraction of the Stieltjes form from a square right matrix fraction description. The matrix continued fraction form is then applied to the problem of model order reduction for multivariable systems. The same algorithm, performed in reverse, is utilized to synthesize voltage transfer function matrices using RC ladder networks and summers.<>
Keywords :
control system synthesis; matrix algebra; multivariable control systems; network synthesis; state-space methods; transfer functions; RC ladder networks; Stieltjes form; algebraic algorithm; block-tridiagonal realization; circuit synthesis; matrix continued fraction; matrix fraction descriptions; model order reduction; multivariable systems; state-space realization; summers; voltage transfer function matrices; Circuit synthesis; Equations; Filters; MIMO; Matrices; Network synthesis; Reduced order systems; State-space methods; Transfer functions; Voltage;
Conference_Titel :
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location :
Espoo, Finland
DOI :
10.1109/ISCAS.1988.14887
