Hénon混沌系统广义预测函数控制快速收敛算法

A fast algorithm with convergence for generalized predictive function control of Hénon chaotic system

提出一种具有收敛跟踪性能的Hénon混沌系统广义预测函数控制快速算法.基于已有的广义预测函数控制方法,依据混沌系统运动特性和实际中控制量变化趋势选取特殊形式的基函数,避免了控制律中的矩阵求逆计算,并在性能指标函数中引入确定的前馈增益矩阵,实现Hénon混沌系统对参考信号的收敛跟踪.仿真结果验证了该算法的有效性.

A kind of fast generalized predictive function control algorithm with convergence of tracking for Hénon chaotic system is proposed.First,based on the existing generalized predictive function control algorithm,the matrix inversion computation in the control law is avoided because special basis functions are selected according to the motion characteristics of chaotic system and the change trend of practical control input.Then,by introducing the determinate feedforward gain matrix into performance index function,it is convergent that the output of Hénon chaotic system follows reference signal.The simulated results show the effectiveness of this algorithm.