Synchronization of Fractional Chaotic Systems via Fractional-Order Adaptive Controller

TL;DR

This paper introduces an adaptive fractional PID controller designed to synchronize chaotic systems, demonstrated on a gyro system, with coefficients tuned via a gradient-based adaptation law.

Contribution

The paper proposes a novel adaptive fractional PID controller with a gradient-based adaptation law for chaotic system synchronization.

Findings

Successful synchronization of chaotic gyro system

Effective tuning of fractional PID coefficients

Enhanced control performance demonstrated

Abstract

In this paper, an adaptive fractional controller has been designed to control chaotic systems. In fact, this controller is a fractional PID controller, which the coefficients will be tuned according to a proper adaptation mechanism. The adaptation law will be constructed from a sliding surface via gradient method. The adaptive fractional controller is implemented on a gyro system to signify the performance of the proposed technique.