A nonlinear observer to estimate unknown parameters during the synchronization of chaotic systems

TL;DR

This paper introduces an Extended Kalman Filter-inspired observer for estimating unknown parameters during the synchronization of chaotic systems, ensuring stability under persistent excitation and demonstrating effectiveness through simulations.

Contribution

It presents a novel observer design for parameter estimation in chaotic systems, guaranteeing stability and broad applicability.

Findings

Observer achieves exponential stability under persistent excitation

Effective in various classical chaotic systems

Validated through multiple simulations

Abstract

This paper proposes an Extended-Kalman-Filter-like observer for parameter estimation during synchronization of chaotic systems. The exponential stability of the observer is guaranteed by a persistent excitation condition. This approach is shown to be suitable for various classical chaotic systems and several simulations are presented accordingly.