IMAACA 2012 Proceeding

ARMA model based GPC

Authors:   Yuchen Zhao, Anibal Zanini

Abstract

In this paper an Auto-Regressive Moving Average (ARMA) model based Generalized Predictive Control (GPC) is presented. The controller derived from this method will automatically contain an integrator. The control law is obtained by minimizing a quadratic objective function. An analytical solution can be found in the absence of constraints. The presented method can deal with stable, unstable and non-minimum phase processes. A concept of suboptimal control is introduced in order to reduce calculating burden and refine dynamic aspects of a controlled system in case of need. It is straightforward to achieve the double integral action which is required in some industrial processes. Furthermore, it is very easy to incorporate the terms T and S if it is viewed as a classical RST controller. For this purpose, a relationship between GPC and RST controllers is also presented. Some simple examples and numerical analyses of particular cases are given.

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