Analyse et synchronisation des systèmes chaotiques de type hyperjerk

Abstract

Chaos theory deals with deterministic dynamical systems. In this work, a description of the main characteristics of chaotic dynamical systems followed by the study of two hyperjerk chaotic systems. Synchronization of two identical systems by three control methods is performed. Next, a synchronization of two systems using a sliding mode observer is proposed. Simulation under Matlab / Simulink was performed to analyze their performance. Finally, a system implementation and its sliding-mode هobserver are carried out. The comparison of the obtained results showed good agreement