%0 Journal Article
%T Oustaloup分抗电路的运算特征与逼近性能分析<br>Operational characteristic and approximation performance analysis of Oustaloup fractance circuits
%A 刘盼盼
%A 袁晓
%A 陶磊
%A 易舟
%J 四川大学学报 (自然科学版)
%D 2016
%X 从全新的分数微积分运算角度考察Oustaloup分抗有理逼近的运算特征与逼近性能. 以阶频特征函数与相频特征函数为理论分析基础，从零极对子系统的运算特征入手，通过子系统的零极点分布情形，探究Oustaloup分抗有理逼近的运算特征，使用相对误差函数，逼近带宽， 指标，复杂度与逼近效益等指标对其运算性能与逼近效果进行分析. 本文理论分析结果表明，阶频特征可以简洁、准确的分析Oustaloup分抗有理逼近，该分抗有理逼近速度较快、复杂度较低. 为Oustaloup分抗电路的应用提供了坚实的基础，为分数阶控制器设计提供了一定的理论依据.<br>In this paper, we investigated operational characteristics and approximation performance of Oustaloup fractance rational approximation from a new perspective of fractional calculus operation. Based on order-frequency characteristic and phase-frequency characteristic theoretical analysis, we start from the operational characteristics of pole-zero sub-systems, by the pole-zero recursive distribution of which, we study operational characteristics of Oustaloup fractance, and in order to analyze its operational characteristics and approximation results, relative error function，approximation bandwidth, K-index, complexity and approximation effect were used. Theoretical results showed that fractional order-frequency characteristics can analyse Oustaloup fractance rational approximation simply and exactly, the fractance rational approximation has faster approximation speed and lower complexity. Providing a solid foundation for the application of Oustaloup fractance circuit, to provide a theoretical basis for the design of fractional controller
%K Oustaloup分抗 有理逼近阶频函数 近误差 运算性能&lt
%K br&gt
%K Oustaloup fractance Rational approximation Order-frequency function Approximation error Operational performance
%U http://science.ijournals.cn/jsunature_cn/ch/reader/view_abstract.aspx?file_no=W150140&flag=1