Diffusive representation of a fractional control using adaptive partitioning algorithm | Zendy

Djalil Boudjehem | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Diffusive representation of a fractional control using adaptive partitioning algorithm

Author(s) -

Djalil Boudjehem

Publication year - 2017

Publication title -

communications faculty of science university of ankara series a1mathematics and statistics

Language(s) - English

Resource type - Journals

ISSN - 1303-5991

DOI - 10.1501/commua1_0000000840

Subject(s) - realization (probability) , fractional calculus , controller (irrigation) , control theory (sociology) , optimal control , representation (politics) , adaptive control , property (philosophy) , mathematics , minification , mathematical optimization , control (management) , computer science , algorithm , artificial intelligence , statistics , philosophy , epistemology , politics , law , political science , agronomy , biology

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 diffusive representation. 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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research