干摩擦滞后系统的参数识别

Parametric Indentification of Drp-frictionalH ysteretic System

本文采用参数识别和非参数识别相结合的方法对含有干摩擦滞后特性的非线性系统的模型特征与参数进行了分析研完。利用正交幂级数多项式的最小二乘估计法对系统的非线性恢复力进行最佳逼近。提出了结合最小二乘回归技术关于非线性恢复力最佳阶次的判别方法。通过模拟识别和结合实际产品对双线性滞后模型的特征参数进行识别研完。为非线性干摩擦滞后系统的动态特性研究及工程应用提供了新的依据和方法。

This paper analysis the methematical model of nonlinear system containingdry frictional hysteretic characteristics by means of parameter et simation methods and nonparametrical identification techniques.It also prop- oses a method to determine the optimal order of the orthogonal power series expansions which is used to simulate nonlinear restoring forces of the system through error analysis combined with the least-square regression technique. On the basis of the analysis of the characteristics of bilinear hysteretic mo- del through identification of simulative systems,it provides a new scientific basis for studying and applying the dynamic characteristics of the nonlinear dry frictional hysteretic system.