控制理论与应用2024，Vol.41Issue(8)：1480-1486,7.DOI:10.7641/CTA.2023.20132
参数不确定连续系统的预见重复控制器设计
Design of preview repetitive controller for continuous-time systems with parameter uncertainties
摘要
Abstract
A design method of repetitive controller with preview compensation is proposed for a class of uncertain continuous-time systems with parameter uncertainties.Firstly,the repetitive controller is introduced and the error system method in preview control theory is adopted,an augmented system including previewed information is constructed.This leads to the preview repetitive control(PRC)problem of the original system being transformed into the feedback control problem of the augmented error system.Then,for the augmented error system,the condition of asymptotic stability of the closed-loop system is given by using Lyapunov method and LMI technique.Based on this,the preview repetitive controller is designed.Finally,the effectiveness of the results in this paper are illustrated by numerical simulation example.关键词
扩大误差系统/预见控制/重复控制/不确定连续系统/静态输出反馈/线性矩阵不等式Key words
augmented error system/preview control/repetitive control(RC)/uncertain continuous system/static output feedback/LMI引用本文复制引用
李丽,廖永龙,孟晓华..参数不确定连续系统的预见重复控制器设计[J].控制理论与应用,2024,41(8):1480-1486,7.基金项目
国家自然科学基金项目(61903130),北京市教育委员会科技计划一般项目(KM202110017002)资助.Supported by the National Natural Science Foundation of China(61903130)and the General Project of Science and Technology Plan of Beijing Municipal Commission of Education(KM202110017002). （61903130）
