A kind of generalized predictive control and synchronization algorithm with terminal sliding model equation restriction for Hénon chaotic system is proposed. This algorithm combines the generalized predictive control with sliding-model control which has been applied to Hénon chaotic systems, and the soft coefficient to input signal, in which the inverse matrix does not require calculation. The method needs smaller computer memory and the computational speed is higher. The ability of tracking the reference signal and restraining the parameter perturbation and stochastic disturbance are improved. Simulated results show the effectiveness and speed of this algorithm.
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