便于动态系统设计的模型降阶——具有可调参数的连分式法

A Model Reduction for Dynamic System Design-Continued Fraction Approximation Method with Adjustable Parameters

  • 摘要: 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.

     

    Abstract: This paper presents a novel continued fraction reduction method with two adjustable parameters,based on staibility analysis of continued fraction model reduction process.The values of adjustable parameters are determined by the relationship found between the amplitude and phase frequency response of the prototype and that of the approximations.The method,whose precision in approximation is better than any continued fraction methods currently available,can not only retain stability,but also reproduce relative stability of the prototype.Finally,discussions are also given to criteria upon which to estimate the error and determine the order of approximants in the process of reduction.In particular,this method can be satisfactorily applied to the design of engineering system.

     

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