%0 Journal Article
%T Robust H-infinity and L-two-L-infinity exponential controls for stochastic time-delay Lurie systems
随机时滞Lurie系统的鲁棒H∞和L2-L∞指数控制
%A CHEN Yun
%A XUE An-ke
%A LU Ren-quan
%A SU Hong-ye
%A
陈 云
%A 薛安克
%A 鲁仁全
%A 苏宏业
%J 控制理论与应用
%D 2008
%I
%X The robust exponential H-infinity control and the exponential L-two-L-infinity control for a class of uncertain It^o-type stochastic Lurie systems with time-delay are investigated. The uncertainties are norm-bounded and the delays are time-varying. Based on Lyapunov-Krasovskii functional method and It^o differential formula, we formulate the sufficient conditions for the existence of desired controllers in terms of linear matrix inequalities(LMIs). For all admissible uncertainties, the designed memoryless state-feedback controllers ensure that the closed-loop systems are robustly exponentially mean-square stable with prescribed H-infinity and L-two-L-infinity disturbance attenuation levels. Finally, the effectiveness of the proposed methods is demonstrated by two simulation examples.
%K stochastic time-delay systems
%K Lurie systems
%K robust H-infinity control
%K robust L-two-L-infinity control
%K LMI
随机时滞系统
%K Lurie系统
%K 鲁棒H∞控制
%K 鲁棒L2-L∞控制
%K 线性矩阵不等式
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=7D81359D879B716FF3B336974B959640&yid=67289AFF6305E306&vid=C5154311167311FE&iid=B31275AF3241DB2D&sid=EE05CC1F800E4629&eid=63025EFC6CC49145&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=12