Design of observer-based discrete repetitive-control system based on 2D model  

作　　者：王昭鸿 易灵芝 兰永红 陈才学 

机构地区：[1]Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education,(College of Information Engineering, Xiangtan University)

出　　处：《Journal of Central South University》2014年第11期4236-4243,共8页中南大学学报（英文版）

基　　金：Project(61104072) supported by the National Natural Science Foundation of China

摘　　要：A discrete observer-based repetitive control(RC) design method for a linear system with uncertainties was presented based on two-dimensional(2D) system theory. Firstly, a 2D discrete model was established to describe both the control behavior within a repetition period and the learning process taking place between periods. Next, by converting the designing problem of repetitive controller into one of the feedback gains of reconstructed variables, the stable condition was obtained through linear matrix inequality(LMI) and also the gain coefficient of repetitive system. Numerical simulation shows an exceptional feasibility of this proposal with remarkable robustness and tracking speed.A discrete observer-based repetitive control（RC） design method for a linear system with uncertainties was presented based on two-dimensional（2D） system theory. Firstly, a 2D discrete model was established to describe both the control behavior within a repetition period and the learning process taking place between periods. Next, by converting the designing problem of repetitive controller into one of the feedback gains of reconstructed variables, the stable condition was obtained through linear matrix inequality（LMI） and also the gain coefficient of repetitive system. Numerical simulation shows an exceptional feasibility of this proposal with remarkable robustness and tracking speed.

关 键 词：state observer two-dimensional discrete system repetitive control linear matrix inequality 

分 类 号：O231[理学—运筹学与控制论]