In this study, we investigate a class of chaotic synchronization and anti-synchronization with stochastic parameters. A controller is composed of a compensation controller and a fuzzy controller which is designed based on fractional stability theory. Three typical examples, including the synchronization between an integer-order Chen system and a fractionalorder Lü system, the anti-synchronizati...

This paper presents the implementation of Fractional Order PID controller as a supplementary controller to improve the dynamics of Load Frequency Control in an interconnected Power System. FOPID is a PID controller whose integral and derivative orders are of non-integer rather than integer. The extension of integration and derivative order from integer to fractional order provides more flexibil...

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...

Lateral control in autonomous parking system, which is always at low speed, simultaneously requiring very small following error, is a difficult problem to resolve. To address this problem, this paper introduces the Fractional order PI D λ μ controller. What’s more, to address the parameters tuning problem in design of the controller, an improved genetic algorithm is adopted. With the proposed m...