Finite-time synchronization of non-autonomous chaotic systems with unknown parameters

TL;DR

This paper presents a finite-time adaptive control method for synchronizing non-autonomous chaotic systems with unknown parameters, using a virtual parameter approach to simplify controller design, validated on Duffing and gyrostat systems.

Contribution

The paper introduces a novel adaptive control scheme that achieves finite-time synchronization without requiring direct knowledge of system parameters.

Findings

Successful synchronization of chaotic systems demonstrated on Duffing and gyrostat models.

The virtual unknown parameter approach simplifies controller design.

Finite-time convergence achieved in the proposed synchronization method.

Abstract

Adaptive control technique is adopted to synchronize two identical non-autonomous systems with unknown parameters in finite time. A virtual unknown parameter is introduced in order to avoid the unknown parameters from appearing in the controllers and parameters update laws. The Duffing equation and a gyrostat system are chosen as the numerical examples to show the validity of the present method.