DIFFUSIVE REPRESENTATION OF A FRACTIONAL CONTROL USING ADAPTIVE PARTITIONING ALGORITHM

Abstract

This article presents optimal fractional control. This control isbased on the property of the invariance of a fractional order di§erential equation. The problem formulation of the used control is expressed by di§usiverepresentation. The fractional control problem is described in a minimization form, where the global optimum represents the di§usive realization of thecontroller. To determine the optimal fractional di§usive control, an adaptivepartitioning algorithm is used. As an application, we have chosen the controlof a DC motor with uncertain parameters.