The reduction of transfer function matrices to generalised diagonally dominant form

Abstract

A key problem in the Rosenbrock Nyquist .Array is how to determine a pre-compensator matrix K(s) of as simple form as possible so that, given any plant transfer matrix G(s), the composite matrix Q(s) = G(s)K(s) has a suitable structure. One such suitable structure is diagonal dominance and another is the Hadamard condition, which is a generalisation of diagonal dominance. This paper gives a systematic method for making Q(s) Hadamard by suitable choice of K(s).