摘要
In this paper, an ODE dynamic feedback control is designed to compensate an unstable heat equation. Using Nyquist criterion for DPS, the relationship between the number of unstable poles and that of turns around the point (-1, 0) clockwise determines the effect of dynamic compensator clearly. Next, the well-posedness of the closed-loop system is verified by semigroup theory and Riesz basis method. At the same time, the system is proved to be exponentially stable. Finally, some numerical simulations are presented to demonstrate that the closed-loop system is stable and our proposed dynamic controller is an efficient tool to stabilize unstable heat equations.
| 源语言 | 英语 |
|---|---|
| 主期刊名 | Proceedings of the 39th Chinese Control Conference, CCC 2020 |
| 编辑 | Jun Fu, Jian Sun |
| 出版商 | IEEE Computer Society |
| 页 | 2008-2013 |
| 页数 | 6 |
| ISBN（电子版） | 9789881563903 |
| DOI | |
| 出版状态 | 已出版 - 7月 2020 |
| 活动 | 39th Chinese Control Conference, CCC 2020 - Shenyang, 中国 期限: 27 7月 2020 → 29 7月 2020 |
出版系列
| 姓名 | Chinese Control Conference, CCC |
|---|---|
| 卷 | 2020-July |
| ISSN（印刷版） | 1934-1768 |
| ISSN（电子版） | 2161-2927 |
会议
| 会议 | 39th Chinese Control Conference, CCC 2020 |
|---|---|
| 国家/地区 | 中国 |
| 市 | Shenyang |
| 时期 | 27/07/20 → 29/07/20 |
指纹
探究 'ODE compensation for an unstable heat equation' 的科研主题。它们共同构成独一无二的指纹。引用此
Yu, X. F., & Wang, J. M. (2020). ODE compensation for an unstable heat equation. 在 J. Fu, & J. Sun (编辑), Proceedings of the 39th Chinese Control Conference, CCC 2020 (页码 2008-2013). 文章 9189575 (Chinese Control Conference, CCC; 卷 2020-July). IEEE Computer Society. https://doi.org/10.23919/CCC50068.2020.9189575