Approximately optimal tracking control for discrete time-delay systems with disturbances

作     者：Gongyou Tang a,,Huiying Sun b,Haiping Pang c a College of Information Science and Engineering,Ocean University of China,Qingdao 266100,China b College of Information and Electrical Engineering,Shandong University of Science and Technology,Qingdao 266510,China c College of Automation and Electronic Engineering,Qingdao University of Science and Technology,Qingdao 266042,China 

作者机构：College of Information Science and Engineering Ocean University of China Qingdao 266100 China College of Information and Electrical Engineering Shandong University of Science and Technology Qingdao 266510 China College of Automation and Electronic Engineering Qingdao University of Science and Technology Qingdao 266042 China 

出 版 物：《Progress in Natural Science:Materials International》 (自然科学进展·国际材料(英文))

年 卷 期：2008年第18卷第2期

页      面：225-231页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 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] 0702[理学-物理学] 

基　　金：National Natural Science Foundation of China,NSFC: 40776051,60574023 Natural Science Foundation of Shandong Province: Z2005G01 

主　　题：Discrete systems Time-delay systems Disturbances Optimal control Tracking control 

摘      要：Optimal tracking control (OTC) for discrete time-delay systems affected by persistent disturbances with quadratic performance index is considered. By introducing a sensitivity parameter,the original OTC problem is transformed into a series of two-point boundary value (TPBV) problems without time-advance or time-delay terms. The obtained OTC law consists of analytic feedforward and feedback terms and a compensation term which is the sum of an infinite series of adjoint vectors. The analytic feedforward and feedback terms can be found by solving a Riccati matrix equation and two Stein matrix equations. The compensation term can be obtained by using an iteration formula of the adjoint vectors. Observers are constructed to make the approximate OTC law physically realizable. A simulation example shows that the approximate approach is effective in tracking the reference input and robust with respect to exogenous persistent disturbances.