Abstract
This paper is concerned with diagonal decoupling of a linear time-invariant system with m-inputs and γ-outputs (m≥γ) by constant gain feedforward and state feedback compensation using a polynomial matrix approach. First by applying the ideas of exact model matching a relation which must be satisfied between the system, the compensators and the desired decoupled system is derived. Then a sufficient condition is given and pole placement of the decoupled system is considered in connection with this condition. It is found that the closed loop poles can be grouped into three classes; two kinds of arbitrarily assignable poles and constrained poles. In order to clarify the usefulness of obtained results, decoupling methods which have been presented before are also investigated from the standpoint of this paper. Finally an illustrative numerical example is provided.
