%0 Journal Article %T Robust strictly dissipative control for linear discrete delay singular systems
滞后离散广义系统的鲁棒严格耗散控制 %A DONG Xin-zhuang %A ZHANG Qing-ling %A
董心壮 %A 张庆灵 %J 控制理论与应用 %D 2005 %I %X This paper deals with the design of memory-less state feedback strictly dissipative controllers for linear discrete delay singular systems with or without uncertainty.By using the approach of linear matrix inequality(LMI),firstly a sufficient condition is presented for a prescribed linear discrete delay singular system to be admissible(i.e.regular,stable and causal) and strictly dissipative,then the existence condition with explicit expression of a memory-less state feedback strictly dissipative controller is derived in terms of matrix inequalities(MIs).Furthermore,for an uncertain system where all coefficient matrices,except matrix E,contain norm-bounded uncertainties,a robust strictly dissipative controller is designed by using the solution of matrix equalities.This controller guarantees the resultant closed-loop system to be generalized quadratically stable and strictly dissipative. %K linear discrete delay singular systems %K admissibility %K generalized quadratic stability %K strict dissipativeness %K memory-less state feedback
滞后离散广义系统 %K 容许 %K 广义二次稳定 %K 严格耗散 %K 无记忆状态反馈 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=A7521991CDB8F4A3&yid=2DD7160C83D0ACED&vid=BC12EA701C895178&iid=94C357A881DFC066&sid=6EDA906E07280FB0&eid=F4DCFB3CB96519BF&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=8&reference_num=14