Chattering-free fixed-time synchronization scheme for a class of strict-feedback chaotic systems

In this paper, the fixed-time synchronization control problem of a class of strict-feedback chaotic systems is considered. In the process of controller design, a new variable and its dynamic system are introduced. Based on the Lyapunov theory and the new variable, a novel fixed-time control scheme is designed via the backstepping control technique. The proposed controller can achieve the synchronization between two strict-feedback chaotic systems in a fixed time which is independent with the initial values. Although the controller has denominator which may tend to zero, it will not generate singularity phenomenon. In addition, the proposed controller does not contain sign function which erases the possible chattering phenomenon in the existing results. Numerical simulations are given to testify the validity of presented methodology. Computational results are in excellent agreement with the analytical ones.