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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。
In this paper, the parameters and parameters of the nonlinear system with dry friction hysteresis are studied by the combination of parameter identification and non-parametric identification. The Least Squares Estimation Method of Orthogonal Power Series Polynomials is used to approximate the nonlinear restoring force of the system. The method of least squares regression combining with the best order of nonlinear restoring force is proposed. The characteristic parameters of bilinear hysteresis model are identified through simulation identification and combining with actual products. It provides a new basis and method for studying the dynamic characteristics and engineering application of the nonlinear dry friction hysteresis system.