COMPUTATION OF NORMALIZED COPRIME FACTORIZATIONS OF RATIONAL MATRICES

We propose a new computational approach based on descriptor state spac e algorithms for computing normalized coprime factorizations of arbitr ary rational matrices. The proposed approach applies to both continuou s-and discrete-time rational transfer-function matrices and shows that each rational matrix possesses a normalized coprime factorization wit h proper factors. The new method is conceptually very simple, essentia lly reducing the original factorization problem to one for proper syst ems. The main computation consists in solving an appropriate generaliz ed algebraic Riccati equation. (C) 1998 Elsevier Science B.V. All righ ts reserved.