δ-model Adaptive Algorithm Based on Plant-Parameterization

Abstract

Focusing on some adaptive control problems of nonlinear industrial processes under given conditions. This paper proposes a modified iterative scheme of the closed-loop identification and designs delta-model adaptive controller based on plant-parameterization. The modification enables to identify the whole plant using only one coefficient and without the necessity of reducing the order of a new plant model. Moreover, instead of using a least squares algorithm, only a simple formula for identification is used. In addition, introduction of delta-models helps to cope with numerical instabilities of discrete models occurring when a sampling interval is being shortened. Digital simulation demonstrates that the proposed algorithm brings about good control results