%0 Journal Article
%T Guaranteed Cost Design of Modified Repetitive Control Systems Based on 2D Hybrid Model<br>基于二维混合模型的改进型重复控制系统保性能设计方法
%A WU Min~ CHEN Shi-Huan~ SHE Jin-Hua~ HE Yong~ NAKANO Michio~ School of Information Science
%A Engineering
%A Central South University
%A Changsha
%A PRChina School of Computer Science
%A Tokyo University of Technology
%A Tokyo -
%A Japan School of Engineering
%A Takushoku University
%A Tokyo -
%A Japan
%A <br>吴敏
%A 陈诗桓
%A 佘锦华
%A 何勇
%A 中野道雄
%J 自动化学报
%D 2009
%I 
%X This paper deals with the problem of designing a guaranteed cost modified repetitive control system based on two dimensional (2D) hybrid model for a class of linear systems with parametric uncertainties. First, by analyzing of the continuous control process and discrete learning process independently, the structure of a feedback modified repetitive control (FMRC) system is given and a hybrid continuous-discrete 2D model for the FMRC system is established. Then, the FMRC design problem is converted to the design problem of the continuous-discrete 2D systems with a state feedback. Next, by using the 2D Lyapunov theory, a sufficient condition for existence of guaranteed cost modified repetitive control is obtained. Furthermore, it is pointed out that the condition is equivalent to the solvability problem of a linear matrix inequality. Finally, the design problem of the optimal guaranteed cost control is formulated in solution of the associated convex optimization problem. The validity of the method is verified by a numerical example.
%K Parametric uncertainties
%K linear systems
%K modified repetitive control
%K guaranteed cost design
%K two dimensional systems
%K linear matrix inequality (LMI)<br>参数小确定性
%K 线性系统
%K 改进型重复控制
%K 保性能设计
%K 二维系统
%K 线性矩阵不等式
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=D6318DD23834FC757C4FD09F04923A39&yid=DE12191FBD62783C&vid=6209D9E8050195F5&iid=CA4FD0336C81A37A&sid=318E4CC20AED4940&eid=0401E2DB1F51F8DE&journal_id=0254-4156&journal_name=自动化学报&referenced_num=0&reference_num=21