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Synchronization of Fractional-Order Chaotic System via Adaptive PID Controller
Conference proceeding

Synchronization of Fractional-Order Chaotic System via Adaptive PID Controller

Mohammad Mahmoudian, Reza Ghaderi, Abolfazl Ranjbar, Jalil Sadati, Seyed Hassan Hosseinnia and Shaher Momani
NEW TRENDS IN NANOTECHNOLOGY AND FRACTIONAL CALCULUS APPLICATIONS, pp.445-452
01/01/2010
DOI: https://doi.org/10.1007/978-90-481-3293-5_38

Abstract

Mathematics Mathematics, Applied Nanoscience & Nanotechnology Physical Sciences Science & Technology Science & Technology - Other Topics
Chaos in hard spring phi(6)-Van der Pol Oscillator, and its modelling and control with fractional-Order Calculus (FOC) is studied in this research. An adaptive PID controller with fractional order adaptation mechanism is proposed to synchronize fractional-order chaotic system. PID coefficients are updated using the gradient method when a proper sliding surface is chosen. Fractional-order phi(6)-Van der Pol Oscillator is used as case study to verify the proposed method.

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