Application of delta-operator generalized predictive control

This paper presents a study of stability and an application of a discrete time generalized predictive controller version using the delta operator, called DGPC. From the basic GPC algorithm elaborated by Clarke et al., the delta operator is introduced here to overcome numerical problems which appear in oversampled discrete time models. After an introduction giving the motivation for the use of the δ operator, a first part reminds the algorithmic version of DGPC. A polynomial approach of the DGPC controller is then presented using transfer functions, with the advantages of a quicker real time computation and the possibility of a stability analysis. At the end the equivalent polynomial controller is synthesized and some results obtained on an industrial a.c. motor are given