期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 484, 期 1, 页码 -出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2019.123666
关键词
Adaptive control; Reaction-diffusion equation; Error feedback; Output regulation
资金
- National Natural Science Foundation of China [61973084, 61673061]
In this paper, we consider the error feedback regulator problem (EFRP) for one-dimensional reaction-diffusion equation with unknown harmonic boundary disturbance, where the regulated output is anti-collocated with the control. Some auxiliary systems are constructed in order to make the control and the disturbance become collocated, or make the measured tracking error become the output. Then the error feedback adaptive servomechanism is presented, in which the parameters of the disturbance and the reference signals are estimated. Our design is based on the motion planning and the backstepping approaches. In addition, we give a brief description that our approach is applicable to the heat equation with distributed disturbance. It is shown that the proposed adaptive control law regulates the tracking error to zero and keeps the states of all the internal loops bounded. (C) 2019 Elsevier Inc. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据