摘要
本文考虑一类特定非线性系统的辨识问题,这类系统可以用一个ARMA模型和一个与之串联的滞环元件来表达.我们提出一种最小二乘加非线寻优的方法来辨识此类系统中ARMA模型的参数和滞环元件的参数,并给出了若干辨识计算实例.算例表明了所提方法的可行性.
Identification of a class of nonlinear systems is considered, which can be espressed by an ARMA model and a hysteresis element in cascade connection. A method is suggested which puts together the least square parameter estimation and gradient optimization techniques to extimate the parameters of both the ARMA model and nonlinear element simultaneously. Numerical examples are presented, which show the effectiveness of the proposed identification algorithm.
基金
昆明工学院青年科学基金资助课题
关键词
非线性系统
系统辨识
ARMA模型
Nonlinear element
System identification
Nonlinear programming
Least square method