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

作　　者：WU Min ZHOU Lan SHE JinHua HE Yong 

机构地区：[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

出　　处：《Science China(Information Sciences)》2010年第5期1006-1015,共10页中国科学（信息科学）（英文版）

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)

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.

关 键 词：learning output feedback repetitive control robust control linear matrix inequality 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TM571.64[自动化与计算机技术—控制科学与工程]