%0 Journal Article
%T A new algorithm for computing higher-order approximate linearization of multi-input nonlinear control systems<br>一种新的多输入非线性控制系统高阶逼近线性化的计算方法
%A ZHANG Jian
%A XU Hong-bing
%A ZHENG Hong
%A <br>张健
%A 徐红兵
%A 郑宏
%J 控制理论与应用
%D 2009
%I 
%X In practice, it is difficult to obtain a coordinate transformation and feedback to construct linear approximationfor nonlinear systems, even though the systems is approximate feedback linearizable. The reason is that it is necessary to solve a set of partial differential equations. In this paper, we firstly introduce an extended coordinate space and deduce a new matrix presentations for a general form of systems called linearly controllable muti-input nonlinear systems. Based on these preparations, we propose an effective construct algorithm procedure which leads to a computational reduction for obtaining a coordinate transformation and feedback. Finally we illustrate its application with the example of a dynamic feedback linearizablesystem.
%K approximate linearization
%K muti-input
%K nonlinear control systems<br>逼近线性化
%K 多输入
%K 非线性控制系统
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=493A5D77892318BCCFDA856B8E5280A2&yid=DE12191FBD62783C&vid=96C778EE049EE47D&iid=94C357A881DFC066&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=0