Differential Evolution (DE) has recently emerged as a simple yet very powerful technique for real parameter optimization. This article describes an application of DE for the design of Fractional-Order Proportional-Integral-Derivative (FOPID) Controllers involving fractional order integrator and fractional order differentiator. FOPID controllers’ parameters are composed of the proportionality co...

This article solves the finite-time bounded tracking control problem for fractional-order systems. Firstly, by taking fractional derivative on state equations and error signals, a system is constructed, signal taken as output vector of system. Secondly, feedback controller introduced into system, disturbance signals desired are combined Thus, original converted input-output finite time stabilit...

Abstract This paper proposes an adaptive fractional-order sliding mode controller to control and stabilize a nonlinear uncertain disturbed robotic manipulator in fixed-time. Fractional calculus is used construct (FtNTSM) that suppresses chattering help the converge equilibrium fixed-settling time based on fixed-time stability theory. Then, introduced combined with FtNTSM overcome unknown system...

This paper deals with synchronization between a fractional order Coullet chaotic system and an integer order Rabinovich-Fabrikant chaotic system by using tracking control and stability theory of fractional order system. An effective controller is designed to synchronize these two systems. Numerical simulations have been done by using Mathematica and Matlab both. Numerical solutions via Grünwald...

Abstract—The article presents an application of Fractional Model Predictive Control (FMPC) to a fractional order thermal system using Controlled Auto Regressive Integrated Moving Average (CARIMA) model obtained by discretization of a continuous fractional differential equation. Moreover, the output deviation approach is exploited to design the K -step ahead output predictor, and the correspondi...

A new controller design method is proposed to synchronize the fractional-order hyperchaotic system through the stability theory of fractional calculus; the synchronization between two identical fractional-order Chen hyperchaotic systems is realized by designing only two suitable controllers in the response system. Furthermore, this control scheme can be used in secure communication via the tech...

In recent years, there has been an expanding research on the applications of fractional calculus to the areas of signal processing, modeling, and controls. Analog circuit implementation of chaotic systems is used in studying the nonlinear dynamical phenomena, as well as applied in realizing the controller development. In this paper, chain fractance and tree fractance circuits are constructed to...

-This paper deals with hybrid projective synchronization between a fractional order Volta chaotic system and Genesio Tesi chaotic system by using tracking control and stability theory of fractional order system. An effective controller is designed to synchronize these two systems. Numerical simulations have been done by using MATLAB. Numerical solutions via Grunwald-Letnikov method has been use...

This contribution is focused on graphical investigation of robust stability for a feedback control loop containing the parametrically uncertain second order time-delay model of a main irrigation canal pool and a fractional order PI controller. The robust stability of the family of fractional order closed-loop characteristic quasipolynomials is analyzed by means of the sampled value sets and app...

In this paper, control of uncertain fractional-order financial chaotic system with input saturation and external disturbance is investigated. The unknown part of the input saturation as well as the system's unknown nonlinear function is approximated by a fuzzy logic system. To handle the fuzzy approximation error and the estimation error of the unknown upper bound of the external disturbance, f...