Adaptive Synchronization of the Modified Chua's Circuit Systems

This study addresses the synchronization of the modified Chua circuit systems with fully unknown parameters and nonlinearity in the control input. A simple robust controller with a single-state variable feedback and a nonlinear compensating mechanism is derived, such that the states of two modified chaotic systems are asymptotically synchronized. According to the Lyapunov stability theorem, the asymptotic stability of the solutions of the state error system is studied. A series of numerical simulations are given to explain the effectiveness and robustness of the designed simple robust controller. In simulation the Mento-Carlo method used to evaluate the robustness of the control system.