低阻尼多变量系统频率响应函数的非参数辨识方法

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (19) : 182-186.

论文

周祎，张二亮

作者信息 +

Nonparametric identification method for frequency response function of a lightly damped multi-variable system

ZHOU Yi, ZHANG Erliang

Author information +

文章历史 +

摘要

针对由于低阻尼带来的频率响应函数在共振峰处难以精确建模与估计的问题，基于局部有理模型，发展一种动态多变量系统的非参数辨识方法。为消除最小二乘法导致的参数估计偏差，通过引入权重函数构建新的成本函数，实现参数的一致估计，给出数值稳定的参数优化算法，并构造估计频率响应函数的不确定区间。然后，将建立的频率响应函数非参数辨识方法扩展至变量带误差系统情形。最后，通过仿真和实验验证了本文方法的有效性。

Abstract

Aiming at the problem of frequency response function (FRF) being difficult to be modeled and estimated due to light damping, based on the local rational model,a non-parametric identification method for FRF of a lightly damped multi-variable system was proposed.To eliminate the parametric estimation deviation caused by the least-squares method, a weight function was introduced to construct a new cost function, and realize parametric consistent estimation.A numerically stable parametric optimization algorithm was established, and an uncertain interval was constructed to estimate FRF. Then, the proposed FRF non-parametric identification method was extended to the case of variable with error system.Finally, the effectiveness of the proposed method was verified with simulation and tests.

导出引用

周祎，张二亮. 低阻尼多变量系统频率响应函数的非参数辨识方法[J]. 振动与冲击, 2020, 39(19): 182-186

ZHOU Yi, ZHANG Erliang. Nonparametric identification method for frequency response function of a lightly damped multi-variable system[J]. Journal of Vibration and Shock, 2020, 39(19): 182-186

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