In this paper, a Fractional Adaptive Fuzzy Logic Control (FAFLC) strategy based on active fractional sliding mode (FSM) theory is considered to synchronize chaotic fractional-order systems. Takagi-Sugeno fuzzy systems are used to estimate the plant dynamics represented by unknown fractional order functions. One of the main contributions in this work is to combine an adaptive fractional order PI...

 *Intelligent Research Group, Babol (Noushirvani) University of Technology, Faculty of Electrical and Computer Engineering, P.O. Box 47135-484, Babol, Iran,( [email protected]) **Hamedan university of Technology, Faculty of Electrical Engineering,([email protected]),Hamedan, Iran *** Department of Electrical, Electronic and Automation Engineering, Industrial Engineering School,University o...

Integer orders differential system is a special case of fractional-order differential system. Integer orders chaotic system that we usually study is ideally approximate to realistic chaotic system. Fractional-order chaotic system has broader and changeable values of order and more complex dynamical behavior than integer order chaotic system. Thus, fractional-order differential equation can desc...

In this work, a fractional chaotic system is introduced, where the capacitor and the inductor of the original circuit are replaced by a fractional electric element called fractance. Moreover, a feedback nonlinear controller is designated and used both to control chaos in this fractional system to its unstable (equilibriums or periodic orbits) and to achieve identical synchronization. Furthermor...

PID controllers belong to the dominating industrial controllers (Leššo, 1997) and therefore there is a continuous effort to improve their quality and robustness. One of the possibilities to improve PID controllers is to use fractional order controllers with non integer derivation and integration parts. The controlled objects are generally of fractional order, however for many of them, the fract...

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...

Abstract: Based on two fractional-order chaotic complex drive systems and one fractional-order chaotic complex response system with different dimensions, we propose generalized combination complex synchronization. In this new synchronization scheme, there are two complex scaling matrices that are non-square matrices. On the basis of the stability theory of fractional-order linear systems, we de...