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

作　　者：李丽[1,3] 廖永龙 孟晓华 LI Li;LIAO Yong-long;MENG Xiao-hua(School of Statistics and Mathematics,Hubei University of Economics,Wuhan Hubei 430205,China;Zhiyuan College,Beijing Institute of Petrochemical Technology,Beijing 102617,China;Hubei Center for Data and Analysis,Hubei University of Economics,Wuhan Hubei 430205,China)

机构地区：[1]湖北经济学院统计与数学学院,湖北武汉430205 [2]北京石油化工学院致远学院,北京102617 [3]湖北经济学院湖北数据与分析中心,湖北武汉430205

出　　处：《控制理论与应用》2024年第8期1480-1486,共7页Control Theory & Applications

基　　金：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。

摘　　要：针对一类参数不确定连续时间系统,本文提出一种具有预见补偿的重复控制器.首先,引入重复控制器,采用预见控制理论中误差系统的方法,构造出包含未来目标值信号信息的扩大误差系统,将原系统的预见重复控制问题转化为扩大误差系统的反馈控制问题;然后,针对扩大误差系统,利用Lyaounov方法和线性矩阵不等式技巧给出闭环系统渐近稳定的条件.并基于此,设计预见重复控制器.最后,数值仿真表明本文结果的有效性.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 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]