Design of robust output-feedback repetitive controller for class of linear systems with uncertainties

作     者：WU Min 1 ? , ZHOU Lan 1 , SHE JinHua 2 & HE Yong 1 1 School of Information Science and Engineering, Central South University, Changsha 410083, China 2 School of Computer Science, Tokyo University of Technology, Tokyo 192-0982, Japan 

作者机构：School of Information Science and Engineering Central South University Changsha China School of Computer Science Tokyo University of Technology Tokyo Japan 

出 版 物：《Science China(Information Sciences)》 (中国科学:信息科学(英文版))

年 卷 期：2010年第53卷第5期

页      面：1006-1015页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：supported by the National Natural Science Foundation of China (Grant No. 60674016) the National Science Fund for Distinguished Youth Scholars of China (Grant No. 60425310) 

主　　题：learning output feedback repetitive control robust control linear matrix inequality 

摘      要：Repetitive control, which adds a human-like learning capability to a control system, is widely used in many fields. This paper deals with the problem of designing a robust repetitive-control system based on output feedback for a class of plants with time-varying structured uncertainties. A continuous-discrete two-dimensional hybrid model is established that accurately describes the features of repetitive control so as to enable independent adjustment of the control and learning actions. A sufficient condition for the robust stability of the repetitivecontrol system is given in terms of a linear matrix inequality. The condition is then used to obtain the parameters of the repetitive controller. Finally, a numerical example demonstrates the effectiveness of the method.