%0 Journal Article
%T A new algorithm for computing the linearization of multiple-input nonlinear control systems<br>一种新的多输入非线性控制系统线性化的计算方法
%A ZHANG Jian
%A LI Chun-guang
%A XU Hong-bing
%A <br>张 健
%A 李春光
%A 徐红兵
%J 控制理论与应用
%D 2009
%I 
%X In practice, it is difficult to determine a coordinate transformation and a feedback for the linear approximation of a nonlinear system, even though the system is approximately feedback-linearizable. The reason is that it is necessary to solve a set of partial differential equations. An extended coordinate space is firstly introduced. A new matrix presentation is then presented for a general form of linearly controllable multiple-input nonlinear systems. Based on these preparations, we develop an effective constructive algorithm procedure with reduced computation for obtaining a coordinate transformation and the feedback. Finally a dynamic feedback-linearizable system is given as an example to illustrate the application.
%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=FC9936C13BCF7A37D4C9D46D93474C7F&yid=DE12191FBD62783C&vid=96C778EE049EE47D&iid=94C357A881DFC066&sid=036D726259190A01&eid=8C267C8DC97FEEEF&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=16