Double Integral Adaptive Synchronization of the Lorenz Chaotic Systems with Unknown Parameters

Abstract

Abstract.A novel double integral action is firstly proposed in this paper and it is integrated with a novel integral Lyapunov function, which is necessary to analyze the system stability. The synchronization of chaotic system with unknown parameters are fulfilled by the constructing of Lyapunov function and the adopting of double integral action. Also, a filter is applied to make the controller is more flexible. But it is necessary to assume that the filter parameter is small enough when the stability of whole system is analyzed.