网站地图 | 联系我们 | English | 意见反馈 | 主任信箱
 
首页 中心概况 新闻动态 科研进展 交流合作 人才培养 研究队伍 人才招聘 政策规章 数学交叉科学传播
科研进展
科研成果
研究专题
获奖
现在位置:首页 > 科研进展 > 科研成果
具有完全未知的外系统的热方程的输出跟踪
【打印】【关闭】

   2022-12-21

In this paper, we consider output regulation for a 1-d heat equation where the disturbances generated from an unknown finite-dimensional exosystem enter all possible channels. We adopt adaptive observer internal model approach which has been well developed for lumped parameter systems over two decades to estimate all possible unknown frequencies that have entered into a transformed system. By the estimates of the unknown frequencies, we are able to design a tracking error based feedback control to achieve output regulation and disturbance rejection for this PDE. A significance of the problem lies in the fact that both the control and observation operators are unbounded. The proposed approach is potentially applicable to other PDEs.    

 

Publication:

Automatica, Volume 138, April 2022, 110159

 

Author:

Baozhu Guo

School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China

Key Laboratory of System and Control, Academy of Mathematics and Systems Science, Academia Sinica, Beijing 100190, China

School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

Email: bzguo@iss.ac.cn

 

Renxi Zhao

Key Laboratory of System and Control, Academy of Mathematics and Systems Science, Academia Sinica, Beijing 100190, China

School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

欢迎访问国家数学与交叉科学中心 
地址:北京海淀区中关村东路55号 邮编:100190 电话: 86-10-62613242 Fax: 86-10-62616840 邮箱: ncmis@amss.ac.cn