一类非线性系统的单尺度小波框架网络自适应观测器

A Single-Scaling Wavelet Frame Network Based Adaptive Observerfor a Class of Nonlinear Systems

本文提出了一类MIMO非线性系统的小波网络自适应观测器设计方法 ,可对一类非线性未知或具有不确定性的非仿射系统进行状态估计 .文中给出了小波网络参数的在线自适应调节律 ,从理论上分析了观测器增益矩阵的选择对状态估计误差的影响 .根据Lyapunov理论证明了整个自适应观测器的稳定性 。

This paper proposed a new method of designing a single scaling wavelet frame network based adaptive observer for a class of MIMO nonlinear systems,which can estimate the states of a class of non affine systems with uncertainties or unknown nonlinearities.The wavelet network weights are tuned on line,with no off line learning required.The robustifying term in the observer can reduce the error brought by the wavelet network approximation greatly.The overall adaptive scheme is shown to be uniformly ultimately bounded.Simulation results have verified the performce of the observer proposed.