Novel Adaptive Synchronization of Different Chaotic Chua Circuits

Synchronization of the motion of dynamic systems is a challenging task especially when their models are only approximately known. The near \abrupt" jumps between the seemingly stable regimes of motion are typical phenomena in chaotic systems. Their details are determined by the system parameters as well as by the initial conditions of the motion. Common PD or PID-type controllers normally result in hectic reaction and limited precision of trajectory tracking. Lyapunov's direct method is a sophisticated but difficult approach te develop Adaptive Controllers. In this paper successful application of the Robust Fixed Point Transformations Based Adaptive Controller is reported for the synchronization of two Chua circuits of slightly dierent parameters in the chaotic regime of their motion. After reproducing the chaotic regime by data taken from a reference computer simulations were ran that substantiate the efficiency of the proposed simple approach.