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The objective of the exact model matching (EMM) control is to make the closed loop of a plant and compensators into an ideal reference model transfer function. This controller consists of an observer polynomial, an interactor polynomial and controller polynomials. In the EMM system, it is common to choose the degree of the observer polynomial to be the same as that of a reduced ordered observer. This implies that the controller polynomials are uniquely determined by solving the Diophantine polynomial equation. If the degree of the observer polynomial in the EMM system is greater than that of the reduced ordered observer, controller parameters have freedom, which means that there is a set of controller polynomials by which the EMM is attained. In this paper, using this freedom of controller parameters, a design method is presented for the EMM system which will also reduces the effect of measurement noise on the plant output. This paper will show that the effect of measurement noise can be reduced as the order of the observer polynomial increases.

Exact Model Matching Control in the Presence of Measurement Noise