In this paper, we incorporate fuzzy reasoning in fractional-order PD controllers. The resulting fuzzy fractional PD controller is investigated in terms of its digital implementation and robustness. The combined features of both algorithms will result in a better control system performance. Also, the effectiveness and robustness of the new methodology is illustrated through an application exampl...

The major contribution of this paper is to introduce the fractional calculus used to develop a fractional-order model for the DC electrical drive and, based on it, to design a fractional adaptive controller. In such a context, two modifications of the conventional Model Reference Adaptive Control theory are presented. Based on simulation results obtained in Matlab/ Simulink, the benefits of fra...

In this study, the usefulness of a fractional order PID (proportional plus integral plus derivative)-type controller is investigated on the control of an electromechanical control actuation system. In this extent, the mathematical model of an electromechanically-actuated control actuation system considered is obtained in the continuous time domain first and then a control system with an integer...

Abstract: By using a linear feedback control technique, we propose a chaos synchronization scheme for nonlinear fractional discrete dynamical systems. Then, we construct a novel 1-D fractional discrete income change system and a kind of novel 3-D fractional discrete system. By means of the stability principles of Caputo-like fractional discrete systems, we lastly design a controller to achieve ...

We study the simplified control for a novel class of four-dimensional (4-D) fractionalorder chaos in this paper. Firstly, a novel class of 4-D fractional-order chaos is introduced, which can express many actual projects. Secondly, a new simplified controller based on sliding mode theory which needs only one single control input is designed for the control of the proposed class systems. Furtherm...

A class of switching system is studied in this paper. A Fractional order controller for Sliding Mode Control (SMC) is proposed to control such systems. An augmented fractional order system is considered in order to design the controller. Therefore, more information about the system is available and the controller will have more degrees of freedom than the integer one. The results can either be ...

In this paper a novel Hybrid Differential Artificial Bee Colony Algorithm (HDABCA) has been proposed for designing a fractional order proportional-integral (FO-PI) speed controller in a Permanent Magnet Synchronous Motor (PMSM) drive. FO-PI controllers’ parameters involve proportionality constant, integral constant and integral order, and hence its design is more complex than that of the usual ...

Application of fractional order PID (FOPID) controller to an automatic voltage regulator (AVR) is presented and studied in this paper. An FOPID is a PID whose derivative and integral orders are fractional numbers rather than integers. Design stage of such a controller consists of determining five parameters. This paper employs particle swarm optimization (PSO) algorithm to carry out the aforeme...