%0 Journal Article
%T Control-oriented fast numerical approaches of fractional-order models<br>面向控制的分数阶微分模型的快速数值计算
%A CAO Hong-liang
%A LI Xi
%A DENG Zhong-hua
%A QIN Yi
%A <br>曹红亮
%A 李曦
%A 邓忠华
%A 秦忆
%J 控制理论与应用
%D 2011
%I 
%X In the computation of fractional order derivatives, the crucial point is to balance the computation speed and the computation accuracy. The existing short memory principle or variable memory principle helps little in relaxing the contradiction. To deal with this problem, we proposed an equal-weight memory principle, in which an equal-weight is applied to all past data in history, and the result is reserved instead of being discarded. In each subsequent sampling period, only one new data is collected for consideration with the historical data. Therefore, the computation accuracy is improved and the computation complexity is reduced, thus, the contradiction is effectively relaxed. Results in numerical examples demonstrate the feasibility and superiority in applying the proposed principle to the design of fractional-order control systems.
%K fractional-order derivatives
%K digit filters
%K short memory principle
%K variable memory principle
%K equal weight memory principle<br>分数阶微分
%K 数字滤波器
%K 短记忆法
%K 变步长记忆法
%K 恒权重记忆法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=EBF7289B0EEBDC9E31E3D01AEB4AEC12&yid=9377ED8094509821&vid=D3E34374A0D77D7F&iid=94C357A881DFC066&sid=EB8E83807F36F05B&eid=569BDAA4FEA0F7F9&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=28