%0 Journal Article
%T Robust H-infinity control for uncertain 2-D singular Roesser models
2-D奇异系统Roesser模型的鲁棒H∞控制
%A XU Hui-ling
%A SHENG Mei
%A ZOU Yun
%A GUO Lei
%A
徐慧玲
%A 盛梅
%A 邹云
%A 郭雷
%J 控制理论与应用
%D 2006
%I
%X This paper discusses the problem of robust H-infinity control for linear discrete time 2-D singular Roesser models (2-D SRM) with parameter uncertainty. The purpose is the design of state feedback controllers such that the resulting closed-loop system is acceptable, jump modes free, stable and satisfies a specified H-infinity performance level for all admissible uncertainties. An equivalent form of bounded realness of 2-D SRM is established in terms of linear matrix inequalities. Based on this, a sufficient condition for the solvability of the robust H-infinity control problem for linear discrete time uncertain 2-D SRM is then presented, and a desired state feedback controller can also be derived by solving a set of matrix inequalities. Finally, numerical example is provided to demonstrate the applicability of the proposed approach.
%K 2-D singular systems
%K jump modes
%K robust H-infinity control
%K matrix inequalities
2-D奇异系统
%K 跳跃模
%K 鲁棒H∞控制
%K 矩阵不等式
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=A4692BA2335E149A&yid=37904DC365DD7266&vid=EA389574707BDED3&iid=94C357A881DFC066&sid=7D2B339649A57040&eid=703F3C1B6594BA64&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=5