A Construction Method of Generalized Predictive Control System in the State Space Approach Which is Equivalent to One in the Polynomial Approach and a Proof of the Equivalence

Abstract

Generalized predictive control (GPC) can be derived in the state space approach as well as in the polynomial approach, and several researches which give relations between these approaches had been discussed. However, strict equivalence between GPC in the polynomial approach and one in the state space approach has not been shown so far. Therefore, in this paper, GPC in the state space approach with reduced order observer is proposed, and the proposed method is shown to be exactly equivalent to GPC in the conventional polynomial approach. From the result of the paper, the quantitative relation between these approaches can be clarified.