基于神经网络的非线性系统的输出调节

Output Regulation of the Nonlinear Systems Based on Neural Networks

非线性系统输出调节问题可解的充要条件是存在一个中。心流形满足某个非线性偏微分方程。本文用多层前向神经网络求解该非线性偏微分方程，从而逼近非线性系统的中心流形。在此基础上，构造状态反馈控制律，实现非线性系统的输出调节。

he output regulation of the nonlinear system is solvable if and only if there exists a centre manifold satisfying a certain nonlinear Partial differential equation. In this paper, multi-layer feedforward neural networks are used to solve the nonlinear partial differential equation, and approach the centre manifold of the nonlinear system. On the basis of this, the state feedback control law can be easily constructed, and the output regulation of the nonlinear system can be carried out.