Diffusive Representation of a Fractional Control Using Adaptive Partitioning Algorithm

Djalil Boudjehemhttp://orcid.org/0000-0001-6245-7581Badreddine Boudjehemhttp://orcid.org/0000-0001-6245-7581 , Belgacem Mecherihttp://orcid.org/0000-0001-6245-7581

Volume 67 , Issue 1, Pages 168 - 178, 2018

Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.



This article presents optimal fractional control. This control is based on the property of the invariance of a fractional order differential equation. The problem formulation of the used control is expressed by diffusivere presentation. The fractional control problem is described in a minimization form, where the global optimum represents the diffusive realization of the controller. To determine the optimal fractional diffusive control, an adaptive partitioning algorithm is used. As an application, we have chosen the control of a DC motor with uncertain parameters


Fractional system, fractional controller, diğusive representation, optimal control, Adaptive partitioning Algorithm