基于频率特性的惯性时间常数测量方法研究

On the Frequency Characteristic-based Measurement of Inertia Time Constant

阐述了惯性时间常数的测量原理,在此基础上详细推导了用于相位差计算的最大似然估计法和相关分析法的数学公式,并在机械平台上完成相关试验以及Matlab数据处理程序设计、数据分析。试验结果表明,理论分析与试验显示结果相一致,相关分析法能更有效提高惯性时间常数的测量精度。

A measurement of inertia time constant is discussed,and the necessary mathematical formulas are derived for calculating the phase difference by means of the maximum likelihood estimate and the correlation analysis. Furthermore,the relevant experiments are conducted on the mechanical platform and the Matlab program for data processing is designed. The experimental results show that the theoretical analysis is identical to the experiment results,and the research indicates that the correlation analysis is more effective for improving the measurement accuracy of inertia time constant.