Chaos Synchronization of Two Uncertain Chaotic System Using Genetic Based Fuzzy Adaptive Pid Controller

Volume 1, Issue 4, pp 273--286 http://dx.doi.org/10.22436/jmcs.001.04.04

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Authors

Yaghoub Heidari - Department of Electrical, Nour Branch, Islamic Azad University, Nour, Iran Soheil Salehi Alashti - Babol Noshirvany University of Technology Rouhollah Maghsoudi - Department of Computer, Nour Branch, Islamic Azad University, Nour, Iran

Abstract

A Genetic based Fuzzy PID controller has been proposed to synchronization task of chaotic systems in which one system has been considered as "master" whilst the other system has been treated as "slave" (a perturbed system with uncertainty and disturbance). Three PID control gains \(k_p , k_i\) , and \(k_d\) , will be updated online. An adequate adaptation mechanism is used to minimize the sliding surface error with appropriate adaptive law. Using the gradient method, coefficients of the PID controller are updated. A supervisory controller has also been used to provide the stability. The proposed method has been found with a significant performance when it was implemented on the Van Der Pol oscillator chaotic equations.

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Keywords

• Fuzzy
• Chaos synchronization
• supervisory controller
• Van der Pol
• Adaptive Control.

MSC

•  37D45
•  93C10
•  93C40
•  93C42

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