Generalized pole placement for systems requiring fast sampling

Abstract

In this paper, we present a controller design applicable to sampled-data discrete-time systems which require fast sampling in the relative sense. It is based upon the δ-operator, and uses a Generalized Predictive Controller (GPC)-like structure which we had previously developed in. Here, by using, in addition, the key elements of the novel approach of, the controller of is further developed to incorporate the very useful properties of Generalized Pole-Placement in the sense defined in. The result is an adaptive discrete-time controller applicable to systems requiring fast (relative) sampling, and which possesses the nice properties attained by the approach of; it is effectively a δ-operator redesign of the Generalized Pole Placement (GPP) controller. We remark that it is indeed a δ-operator redesign, as opposed to simply a δ-operator realization, of the GPP. This redesign requires the use of the auxiliary developments from, and might not have been possible without them. In addition, the re-design takes into account the properties of the δ-operator as a discrete-time operator in its own right.