Pole assignment by dynamic feedback

Abstract

It is shown that by dynamic feedback the closed loop transfer matrix of a linear system can be made equal to a proper rational matrix of the form v(s)T'−¹(s)T−(s)T _k (s) Here V(s) is the numerator polynomial matrix of the open loop transfer matrix, T'(s) is a polynomial matrix which can be chosen arbitrarily up to some degree constraints, T'₂(s) is a polynomial matrix whose invariant factors can be chosen arbitrarily up to some degree inequalities, T _k(s) is a polynomial matrix which is the denominator matrix in a matrix fraction description of the feedback matrix.