Fractional Order Observer-Based Adaptive Synchronization for a Class of Chaotic Systems with Unknown Parameters


Mohsen Mohamed Hadji
Department of E.E.A. National Polytechnic School of Constantine, Constantine
Samir Ladaci
Department of Automatics, Ecole Nationale Polytechnique, Elharrach, Algiers, Algeria


In this research work, the problem of synchronizing two continuous-time Chua’s chaotic systems with transmitter–receiver configuration is considered. Based on Lyapunov theory and fractional order proprieties, a fractional order adaptive observer-based response system is designed to achieve the synchronization of the two systems and to estimate the transmitter’s unknown parameters. Simulation results illustrate the efficiency of the proposed adaptive synchronization scheme.

February 5, 2024