%0 Journal Article
%T Observer design for Lipschitz nonlinear singular systems<br>Lipschitz广义非线性系统观测器设计
%A LIU Yan-hong
%A LI Chun-wen
%A WANG Yu-zhen
%A WU Re-bing
%A CHU Bing
%A <br>刘艳红
%A 李春文
%A 王玉振
%A 吴热冰
%A 楚冰
%J 控制理论与应用
%D 2007
%I 
%X The observer design for nonlinear singular systems is discussed.First,for an index-one nonlinear singular systems,the stability and asymptotical stability with positive semi-definite Lyapunov functions are analyzed.Then,for nonlinear singular systems composed of linear and Lipschitz nonlinear terms,some sufficient conditions are proposed for the existence of asymptotically stable observer system.An algorithm is developed to calculate the observer gain,converting the original problem into admissible control of a linear singular system and the calculation of minimum singular value of the correspondingly closed system.It is proven that if the minimum singular value is greater than the Lipschitz constant of the nonlinear singular system,the admissible controller gain can serve as the observer gain.
%K nonlinear singular systems
%K observer design
%K asymptotical stability
%K singular value<br>广义非线性系统
%K 观测器设计
%K 渐近稳定
%K 奇异值
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=B4C041DB1AABA09920A8743706C5FAA3&yid=A732AF04DDA03BB3&vid=B91E8C6D6FE990DB&iid=0B39A22176CE99FB&sid=EF27C460877D3C9F&eid=79D2EF35F60110C2&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=18