On the equivalence between MFD models and pseudo-observable forms of MIMO systems

Abstract

This paper presents a one-to-one correspondence between a pseudo-observable form and the Matrix Fraction Description (MFD) of a MIMO system so that given one form, the other may be derived accordingly. In the development only left coprime MFD and pseudo-observable form will be considered. The right coprime MFD and pseudo-controllable form can be derived in a dual sense.