Synchronization in the Genesio-Tesi and Coullet system using a fractional-order adaptive controller

Author

Fayazi, A. ; Rafsanjani, H. Nabizadeh

Author_Institution

Electr. Eng. Dept., Vali-e-Asr Univ. of Rafsanjan, Rafsanjan, Iran

fYear

2011

fDate

19-21 Dec. 2011

Firstpage

889

Lastpage

894

Abstract

In this paper, an adaptive fractional-order controller has been designed for synchronization in a pair of topologically inequivalent systems, the Genesio-Tesi and Coullet systems. This controller is a fractional PID controller, which the coefficients will be tuned according to a proper adaptation mechanism. PID coefficients are updated using the gradient method when a proper sliding surface is chosen. The stability of the closed-loop PID control system is also guaranteed. The simulation results indicate the significance of the proposed controller as a control signal.

Keywords

adaptive control; calculus; closed loop systems; gradient methods; synchronisation; three-term control; topology; Coullet system; Genio-Tesi synchronization; adaptation mechanism; closed-loop PID control system; control signal; fractional PID controller; fractional-order adaptive controller; gradient method; sliding surface; topologically inequivalent system; Adaptive systems; Chaos; Fractals; Fractional calculus; Simulation; Solitons; Synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation (ICCA), 2011 9th IEEE International Conference on

Conference_Location

Santiago

ISSN

1948-3449

Print_ISBN

978-1-4577-1475-7

Type

conf

DOI

10.1109/ICCA.2011.6137988

Filename

6137988