Optimal control of fractional order systems is a long established domain calculus. Nevertheless, it relies on equations expressed in terms pseudo-state variables which raise fundamental questions. So remedy these problems, the authors propose this paper new and original approach to optimal based frequency distributed representation differential called infinite state approach, associated with an...

This paper proposes two novel fuzzy fractional PID structures. The tuning of the fuzzy fractional controllers is based on the prior knowledge of fractional-order control tuning rules. The digital implementation of these controllers is also investigated. The effectiveness and robustness of the proposed tuning methodology is illustrated through its application on a fractional-order plant. The sim...

in this paper we present a new method for solving fractional optimal control problems with delays in state and control. this method is based upon bernstein polynomial basis and using feedback control. the main advantage of using feedback or closed-loop controls is that they can monitor their effect on the system and modify the output accordingly. in this work, we use bernstein polynomials to tr...

This paper is concerned with behavior analysis and improvement of wind turbines with Doubly Fed Induction Generator (DFIG) when using a new fractional-order control strategy during wind variations. A doubly fed induction generator, two types of variable frequency power electronic converters and two input wind waveforms are considered. A fractional-order control strategy is proposed for the wind...

This paper presents the new algorithms of PID control based on fractional calculus (FC) and an optimal procedure in the position control of a 3 DOF robotic system driven by DC motors. The objective of this work is to find out the optimal settings for a fractional PI D α β controller in order to fulfill the proposed design specifications for the closed-loop system, taking advantage of the fracti...