Adaptive PID Synchronization of Uncertain Chaos with Unknown Driven System

Considering a three order chaotic system with unknown parameters and uncertain nonlinear functions, a kind of adaptive PID synchronization method is proposed under an assumption that the uncertain nonlinear functions are satisfies a kind of bound condition. The unknown parameters are estimated by adaptive laws and nonlinear functions are solved by robust method. Also a whole Lyapunov function is chose to guarantee the stability of the whole system. At last, a numerical simulation is done to show the effectiveness and rightness of the proposed synchronization method. Also it shows that the synchronization strategy is robust although the control law is not very complex.