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文章从分析连分式降阶的稳定性机理出发,提出了一个新的具有两个可调参数的连分式降阶法。由对原系统某些主要频率响应数据(幅值和相角)的拟合确定参数。方法的精度较现有连分式方法更高,不仅能保持原系统的稳定性,还能基本重现原系统的相对稳定性。最后讨论了误差估计和选择逼近阶数的准则。因此本方法可放心用于工程设计。
Based on the analysis of the stability mechanism of the fractional order reduction, a new continuous fractional reduction method with two adjustable parameters is proposed. The parameters are determined from fitting of some of the main frequency response data (amplitude and phase angle) of the original system. Compared with the existing continuous fraction method, the accuracy of the method is higher, not only to maintain the stability of the original system, but also to basically reproduce the relative stability of the original system. Finally, the criteria of error estimation and selection order of approximation are discussed. Therefore, this method can be used safely in engineering design.