%0 Journal Article
%T LMI-based stability region estimation for dynamical systems with saturation nonlinearities and a short time-delay<br>基于LMI的小时滞饱和系统稳定域估计方法
%A XIN Huan-hai
%A TU Jing-zhe
%A XIE Jun
%A GAN De-qiang
%A <br>辛焕海
%A 屠竞哲
%A 谢俊
%A 甘德强
%J 控制理论与应用
%D 2009
%I 
%X Based on Pade approximation, the stability region estimation for dynamical systems with saturation nonlinearities and a short time-delay is transformed to that for singular perturbation systems with saturation nonlinearities (SPSSN). The stability region of the singular systems with saturation nonlinearities is proved to be decomposable when the time-delay is short enough. Based on this characteristic, we develop a linear matrix inequality(LMI) optimization model, and propose an order-reduction method for estimating the stability region of systems with saturation nonlinearities and a short time-delay. Simulation results show the effectiveness and the validity of the proposed method.
%K saturation nonlinearity
%K short time-delay
%K Pade approximation
%K singular perturbation dynamical systems<br>饱和非线性
%K 小时滞
%K Pade近似
%K 奇骨摄动饱和系统
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=4AF71B12A5398667CD9CA2E88D742C9A&yid=DE12191FBD62783C&vid=96C778EE049EE47D&iid=9CF7A0430CBB2DFD&sid=714E16F7CF56F343&eid=816AB2919A4FEDD7&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=20