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Robust Synchronization of Duffing System Using Integral Action in Backstepping Design

Backstepping is a realistic nonlinear control design algorithm based on Lyapunov design approach; therefore, it automatically ensures the convergence of the regulated variable to zero. In this paper, it has been proposed for robust synchronization of Duffing chaotic systems. Integral
 action is being used to enhance the control action of the controller in steady state against the disturbances. The salient feature of the design is that the derived control doesn’t contain any derivative terms; consequently it simplifies the controller realization. The effectiveness
 of the proposed controller has been demonstrated in simulation studies. The performance of the controller has been evaluated not only based on its synchronizing ability but also the disturbance rejection ability of the controller has been verified.