基于神经网络的非线性系统近似线性化

Approximate Linearization of Nonlinear Systems A Neural Network Approach*

中文关键词  神经网络  近似线性化

英文关键词  neural networks  approximation  linearization

中文摘要

      神经网络具有同时逼近某一函数及其高阶导数的功能， 这一结果为神经网络在非线性系统中的应用提供了可行的工具， 本文提出了一种利用网络近似功能的非线性系统的近似线性化方法， 无论系统是否满足可积条件， 神经网络都可实现其对合条件的近似积分， 从而构造满足系统近似线性化的反馈控制. 对球一杆系统的仿真结果显示了这种方法的有效性，

英文摘要

      Recent researches show that neural networks have the ablilty to approximate a function as well as its derivatives. This result offers a promising opportunity to introduce neural network theory into nonlinear system control. In this paper a novel method of approximate nonlin-ear svstem linearization with neural networks is proposed. The network approximator is designed to integrate the involutive equation of a nonlinear system whether the integrability condition is satisfied or not. Simulation results show that this method is feasible.