Coprime matrix fraction description via orthogonal structure theorem

Abstract

An algorithm to compute the coprime matrix fraction description from a given transfer function matrix W(s) is presented. The algorithm is based on Householder transformations to compute the minimal realization of W(s) and on the orthogonal version of the structure theorem of W.A. Wolovich (1974) and of Wolovich and P.L. Falb (1969) to determine the coprime form. The proposed method is numerically less expensive than a similar algorithm given by R.V. Patel (1981) which uses singular value decomposition. >