%0 Journal Article %T Convergence analysis of fractional-order iterative learning control
分数阶迭代学习控制的收敛性分析 %A LI Yan %A CHEN Yang-quan %A AHN Hyo-Sung %A
李岩 %A 陈阳泉 %A 安孝晟 %J 控制理论与应用 %D 2012 %I %X The classical time domain and frequency domain analysis of iterative learning control (ILC) are extended to a type of time domain analysis of fractional order iterative learning control (FOILC) for fractional order nonlinear systems. A novel FOILC scheme is proposed, which leads to simpler convergence condition. The equivalence of the above two FOILC schemes is shown for the constant learning gain cases, which leads to two further developments: the learnable domain of an adaptive FOILC for the uncertain fractional order systems, and a desirable band-stop FOILC scheme. Several examples are provided to illustrate the presented results. %K iterative learning control %K fractional calculus %K nonlinear systems %K convergence %K adaptiveness
迭代学习控制 %K 分数阶微积分 %K 非线性系统 %K 收敛性 %K 自适应 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=77408F9630A86617BF998FC6F49C894E&yid=99E9153A83D4CB11&vid=771469D9D58C34FF&iid=5D311CA918CA9A03&sid=D7513DBF373F2B6C&eid=1F51A4E3D1D75885&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=1&reference_num=0