Chaotic synchronization problem of finite-time convergence based on Terminal slide mode control

In this paper, the problem of finite-time synchronization is proposed. Terminal slide mode control is combined with chaos synchronization. Chaos synchronization is regarded as tracking problem in control system. Sufficient condition for constructing Terminal slide mode by introducing nonlinear function into linear slide mode function is given. Corresponding the Terminal slide mode controller is given too. To verify the feasibility and effectivness of this control strategy, the synchronization for Duffing chaotic system is illustrated.