A new sufficient condition for generic pole assignment by output feedback

Abstract

We show that for strictly proper systems with m outputs, l inputs ( m geq l ), McMillan degree n , and controllability indexes lambda_{1} geq lambda_{2} geq ...geq lambda_{1} >0 , one can in the generic case arbitrarily assign min ((q + 1)m + q + b(l - 1), n + q) closed-loop poles with a proper order q compensator. This represents an improvement over results reported earlier in the literature.