Hénon混沌系统的广义预测控制与同步快速算法

提出了一种带有终端滑模等式约束的Hénon混沌系统的广义预测控制快速算法.该方法将广义预测控制与离散滑模控制结合起来运用到Hénon混沌系统中，并采用柔化输入信号的方法，避免了广义预测控制算法中的高维矩阵求逆.占用内存小，计算速度快，并且具有较强的跟踪给定信号和抑制系统参数摄动和随机噪声的能力.仿真结果验证了该方法的有效性和快速性. 关键词： 广义预测控制 离散滑模控制 Hénon混沌系统 混沌同步

A fast algorithm for generalized predictive control and synchronization of Hénon chaotic systems

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.