Towards robust minimum variance control of nonsquare LTI MIMO systems

The paper presents a new contribution of the so-called control zeros to robustification of the minimum variance control strategy for nonsquare LTI MIMO systems. A plethora of new, MVC-related inverses of nonsquare polynomial matrices are analytically presented, which give rise to generation of various control zeros. Possible detrimental effects of unstable control zeros can be eliminated making use of a new, pole-free MVC design methodology, but on the other hand, one can take advantage of stable control zeros in a new, minimum-energy design of robust MVC. Thus, control zeros are shown to essentially complement the transmission zero-based Davison's theory of minimum phase nonsquare LTI MIMO systems.