DIFFUSIVE REPRESENTATION OF A FRACTIONAL CONTROL USING ADAPTIVE PARTITIONING ALGORITHM

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:67 Issue:1
DIFFUSIVE REPRESENTATION OF A FRACTIONAL CONTROL USING ADAPTIVE PARTITIONING ALGORITHM

DIFFUSIVE REPRESENTATION OF A FRACTIONAL CONTROL USING ADAPTIVE PARTITIONING ALGORITHM

Authors : Djalil BOUDJEHEM, Badreddine BOUDJEHEM, Belgacem MECHERI

Pages : 168-178

Doi:10.1501/Commua1_0000000840

View : 12 | Download : 9

Publication Date : 2018-02-01

Article Type : Research Paper

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

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