Robust Impulsive Synchronization of Lorenz Chaotic Dynamical System with Capability of Unknown Bounded Disturbance Rejection

This paper considers the problem of disturbance rejection in impulsive synchronization of a class of nonlinear chaotic system with unknown parameters. The proposed methodis based on the impulsive control approach. Adaptation laws are derived based on Lyapunov synthesis and therefore stabilityof the closed-loop system is guaranteed. By adding an extra term related to the square error between disturbance and thedisturbance estimation in the Lyapunov function the capabilityof unknown bounded disturbance rejection is proved using Lyapunov direct method of stability. The Lorenz system issimulated to show the superiority of the proposed method and illustrate the theoretical analysis to preserve the stability andperformance of the closed- loop system in the presence of the parameters uncertainties and arbitrary bounded disturbances

Keywords:

Impulsive synchronization , chaotic systems , disturbance rejection , impulsive control , adaptive equations