Optimal Disturbance Rejection Control for a class of Nonlinear System with Control Time-delay by Model Transformation Method
作者单位：Department of Computer Engineering Qingdao Technological University Qindao College College of Automation and Electronic engineer Qingdao University of Science & Technology
会议名称：《第25届中国控制与决策会议》
会议届次：25th
会议日期：2013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 in part by the National Natural Science Foundation of China (60804005) by the Natural Science Foundation of Shan dong Province (ZR2011FQ006) by the Natural Science Foundation of Qingdao City(12-1-4-3-(17)-jch
关 键 词：Nonlinear Systems Time-delay systems Non-delay optimal control Disturbance rejection
摘 要：The optimal control problem for nonlinear systems with control time-delay affected by external disturbance is considered. A model transformation is first presented, which transforms the nonlinear system with time-delay into a system without delay formally. To solve the optimal control problem for nonlinear systems with time-delay is transformed into optimal control problem for non-delay nonlinear systems. Based on the optimal control theory, the two-point boundary value （TPBV） problem is constructed. By using the successive approximation approach, the nonlinear optimal control problem is transformed into a sequence of nonhomogeneous linear TPBV problems. we get approximate optimal control law by solving a Riccati matrix equation and two Stein matrix equations using successive approximation method. A simulation example shows that the approximate approach is effective and robust with respect to exogenous persistent disturbances.