Optimal Sliding Mode Control for Uncertain Systems with Time Delay

作     者：Rui Dong~1,Gongyou Tang~2,Yunrui Guo~1 1.Department of Mathematics,Henan Institute of Science and Technology,Xinxiang 453003,China 2.College of Information Science and Engineering,Ocean University of China,Qingdao 266071 

会议名称：《2010 Chinese Control and Decision Conference》

会议日期：2010年

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 0701[理学-数学] 071101[理学-系统理论] 0811[工学-控制科学与工程] 

基　　金：supported by National Nature Science Foundation under Grant 605740233 Key Natural Science Foundation of Shandong Province under Grant Z2005G01 

关 键 词：Time Delay Systems Optimal Control Stability Switching Functions 

摘      要：正This paper considers the sliding mode control for linear systems with time-delay affected by *** using the successive approximation approach,a novel time-varying sliding surface is designed in an optimal fashion. The stability of the sliding mode is *** switching manifold assures that the state trajectories of the closed-loop system converge to *** convergence speed of every state trajectory on the ideal sliding surface can be adjusted through choosing the parameters of the quadratic performance index.A disturbance observer is constructed to make the control input physically realizable.A numerical simulation is given to show the effectiveness of the proposed design approach.