Adaptive Parameter Estimation of Chaotic Systems Based on Impulsive Synchronization

An adaptive parameter estimation method based on impulsive synchronization is proposed for a class of chaotic systems with uncertain parameters. Analytical expressions of the adaptive rules for impulsive controlling gain and parameters are obtained, and it is proved theoretically that the proposed method can accurately estimate all unknown parameters of the chaotic systems with uncertain parameters. The Lorenz system and Ueda oscillator system are taken as examples to illustrate the effectiveness of the proposed method through numerical simulations.