%0 Journal Article
%T Design and phase plane analysis of an arctangent-based tracking differentiator<br>反正切形式跟踪微分器设计及相平面分析
%A DONG Xiao-meng
%A ZHANG Ping
%A <br>董小萌
%A 张平
%J 控制理论与应用
%D 2010
%I 
%X Tracking differentiator(TD)can produce continuous tracking signal and its differential signal from discontinuous and noisy inputs.An arctangent-based TD is presented based on acceleration function analysis,and then its global uniformly asymptotical stability is proved using Lyapunov's direct method.Moreover,phase plane analysis is conducted to show that the origin(0,0)is a stable nodal point or a stable focus point.By these results,we propose the parameter constraint conditions of the arctangent-based TD.Th...
%K tracking differentiator
%K Lyapunov's direct method
%K phase trajectory<br>跟踪微分器
%K 李雅普诺夫第二方法
%K 相轨迹
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=30C66EA6F7831B562CD242135FC6DF9C&yid=140ECF96957D60B2&vid=DB817633AA4F79B9&iid=E158A972A605785F&sid=FF58680609C9D068&eid=FD207D3C5E9776FA&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=12