摘要
基于参数依赖的Lyapunov函数方法及线性矩阵不等式(LMI)技巧,文章考虑参数不确定广义离散系统的预见重复控制.首先,引入差分算子和二维模型方法,构造了包含可预见目标值信号的二维扩大误差系统;然后,针对扩大误差系统,分别设计状态反馈和输出反馈控制器.在考虑输出反馈时,改造输出方程、充分利用可预见信号的未来信息,并通过LMI技巧给出闭环系统渐近稳定的条件及预见重复控制器的设计方法.最后,数值仿真表明文章结果的有效性.
Based on parameter-dependent Lyapunov method with the LMI technique,this paper considers the preview repetitive control for a class of uncertain descriptor discrete-time systems.The difference operator and a two-dimensional(2D)model are introduced.First,a 2D augmented error system including previewed information is constructed.Then,for the 2D augmented error system,the state feedback and output feedback preview controllers are designed,respectively.The output equation is modified to make full use of the future information of the previewed signal when considering the output feedback,and the conditions of asymptotic stability of the closed-loop system and the design method of the preview repetitive controller are given by the LMI technique.Finally,the effectiveness of the results in this paper are illustrated by numerical simulation examples.
作者
李丽
张耀峰
于晓
LI Li;ZHANG Yaofeng;YU Xiao(School of Information Management and Statistics,Hubei University of Economics,Wuhan 430205;Hubei Center for Data and Analysis,Hubei University of Economics,Wuhan 430205;School of Science,Shangdong Jianzhu University,Jinan 250101)
出处
《系统科学与数学》
CSCD
北大核心
2021年第7期1788-1806,共19页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金项目(61903130)
山东省自然科学基金项目(ZR2020QA036)
湖北省教育厅科研重点项目(D20192202)
湖北经济学院科研培育项目(PYYB202007,PYZD202005)资助课题
关键词
二维扩大误差系统
预见重复控制
不确定广义系统
周期跟踪
状态反馈
静态输出反馈
2D augmented error system
preview repetitive control
uncertain descriptor system
periodic tracking
state feedback
static output feedback
