A System Representation and a Control Strategy Based on Multi-rate Sampling Data

Abstract

This paper presents a system representation and a control strategy for a multi-rate linear discrete-time plant. No traditional mathematical model such as transfer function or state equation of the plant is employed. The plant dynamics is represented as a set of basis vectors whose elements are multi-rate sampling data of the plant. Then it is shown that, for a reference signal, a dead-beat control input which minimizes a quadratic performance index can readily be computed by means of a convex optimization defined by the data array.