| 引用本文: | 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.[点击复制] |
| Li Li,Liao Yong-long,Meng Xiao-hua.Design of preview repetitive controller for continuous-time systems with parameter uncertainties[J].Control Theory and Technology,2024,41(8):1480~1486.[点击复制] |
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| 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 |
| 摘要点击 4351 全文点击 124 投稿时间：2022-02-23 修订日期：2024-02-16 |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| DOI编号 10.7641/CTA.2023.20132 |
| 2024,41(8):1480-1486 |
| 中文关键词 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 |
| 英文关键词 augmented error system preview control repetitive control uncertain continuous system static output feedback LMI |
| 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 |
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| 中文摘要 |
| 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 |
| 英文摘要 |
| 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 |
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