Finite-time Control of Sampled-data Systems
作者单位：Faculty of Mathematics Science Harbin Normal University Center of Control Theory and Guidance Technology Harbin Institute of Technology
会议名称：《第25届中国控制与决策会议》
主办单位：IEEE;NE Univ;IEEE Ind Elect Chapter;IEEE Harbin Sect Control Syst Soc Chapter;Guizhou Univ;IEEE Control Syst Soc;Syst Engn Soc China;Chinese Assoc Artificial Intelligence;Chinese Assoc Automat;Tech Comm Control Theory;Chinese Assoc Aeronaut;Automat Control Soc;Chinese Assoc Syst Simulat;Simulat Methods & Modeling Soc;Intelligent Control & Management Soc
会议日期：2013年
学科分类：0810[工学-信息与通信工程] 08[工学] 080401[工学-精密仪器及机械] 0804[工学-仪器科学与技术] 080402[工学-测试计量技术及仪器] 0835[工学-软件工程] 081002[工学-信号与信息处理]
基 金：supported by Natural Science Foundation of Heilongjiang Provincial, No.QC2011C020 National Natural Science Foundation of China, No.51002041 Foundation of Harbin Normal University, No.10XYG-06, and No.KJB201111
关 键 词：Sampled-data systems input-delay approach finite time control LMI
摘 要：Finite-time control of sampled-data systems are addressed. A kind of Lyapunov-Krasovskii function-like function is proposed, whose derivative does not need to be negative definite. Based on input-delay approach and free-weight matrix technologies, sufficient conditions which can ensure finite-time stability （FTS） for the resulted closed-loop system with rapid time-vary delay are given in linear matrix inequalities （LMIs）. And then in virtue of the results on finite-time stability, the state feedback controller is designed. These conditions are given in terms of LMIs and are delay-dependent.