Design of Discrete-time Repetitive Control System Based on Two-dimensional Model  

作　　者：Song-Gui Yuan Min Wu Bao-Gang Xu Rui-Juan Liu 

机构地区：[1]School of Information Science and Engineering, Central South University, Changsha 410083, PRC [2]School of Electrical and Information Engineering, Changsha University of Science and Technology, Changsha 410076, PRC

出　　处：《International Journal of Automation and computing》2012年第2期165-170,共6页国际自动化与计算杂志（英文版）

基　　金：supported by National Natural Science Foundation of China (Nos. 60974045 and 60674016);the Research Foundation of Education Bureau of Hunan Province, China (No. 08C090)

摘　　要：This paper presents a novel design method for discrete-time repetitive control systems （RCS） based on two-dimensional （2D） discrete-time model. Firstly, the 2D model of an RCS is established by considering both the control action and the learning action in RCS. Then, through constructing a 2D state feedback controller, the design problem of the RCS is converted to the design problem of a 2D system. Then, using 2D system theory and linear matrix inequality （LMI） method, stability criterion is derived for the system without and with uncertainties, respectively. Parameters of the system can be determined by solving the LMI of the stability criterion. Finally, numerical simulations validate the effectiveness of the proposed method.This paper presents a novel design method for discrete-time repetitive control systems （RCS） based on two-dimensional （2D） discrete-time model. Firstly, the 2D model of an RCS is established by considering both the control action and the learning action in RCS. Then, through constructing a 2D state feedback controller, the design problem of the RCS is converted to the design problem of a 2D system. Then, using 2D system theory and linear matrix inequality （LMI） method, stability criterion is derived for the system without and with uncertainties, respectively. Parameters of the system can be determined by solving the LMI of the stability criterion. Finally, numerical simulations validate the effectiveness of the proposed method.

关 键 词：Linear systems learning control discrete-time repetitive control two-dimensional （2D） systems 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] TQ051.14[自动化与计算机技术—控制科学与工程]