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Approximation degree selection for one kind of fractional-order filter
Author(s): 
Pages: 90-94,101
Year: Issue:  1
Journal: Electric Machines and Control

Keyword:  fractional-order filterfractional calculus operatorsoptimal approximation degreeOusta-loup\'s algorithmapproximation accuracy;
Abstract: 针对分数阶微积分算子的有理逼近可以取得很好的逼近效果,而逼近阶次的选择对分数阶滤波器的逼近精确度和系统性能有直接的影响的问题,通过合理选择逼近阶次可以使二者之闻达到一个最佳综合.在分析Oustaloup算法的基础上,详细研究分数阶滤波器分数阶次与有理逼近阶次之间的关系.通过计算逼近模型与理论模型的幅、相频率特性及其误差来观察逼近阶次n与逼近精确度的关系,并确定最佳逼近阶次.仿真结果与误差分析表明,...
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