一类非线性系统的自适应广义预测控制

利用Hammerstein模型描述一类非线性系统，提出了一类适用于非线性系统的自适应广义预测控制算法（NAGPC），该算法将整个控制系统分解成线性和非线性两部分考虑；在线性部分中，根据广义预测控制（GPC）算法中控制增益阵F的特点导出了一种速度较快，计算量不大的GPC改进算法。非线性部份利用插值原理给出了一种便于计算机实时计算的根值解法，并将其解作为整个系统的控制输入。仿真结果表明，NAGPC算法计算速度快，鲁棒性较强，稳定性较好。

A Kind of Adaptive Generalized Predictive Control for a Nonlinear System

This paper,using Hammerstein model to express a kind of nonlinear system,presents a new kind of Adaptive Generalized Predictive control for Nonlinear systems(NAGPC). This method divides the whole system into two parts: linear subsystem and nonlinear one. In the first part,a new algorithm ,whose computation quantity is less and speed is faster,is developed according to the characteristics of gain controlling Matrix F in the Generalized Predictive Control (GPC). Mean while, the interpolation method is used to develop one step root solving procedure and the result can be used as the whole system input in the second part. Simulation studies show that the general algorithm NAGPC is strong in robustness,good in stability and fast in computation.