A computational procedure for obtaining a polynomial representation from state equations

Abstract

This paper presents a new procedure for determining, from the state equations, the factored matrix form of the transfer matrix of a linear time-invariant system given in state variable form. The procedure is conceptually straightforward and demonstrates a connection between the desired representation and the representation of a lower order imbedded subsystem. Applying the basic procedure recursively leads to a computational algorithm for determining the desired representation. The algorithm differs from those presented previously in that explicit computation of a controllabillty or observability matrix is not required.