摘要
We consider sampled-data observer for PDE system governed by the Navier-Stokes equation on the rectangular domain. The system is exponentially stable. We aim to design an observer that exponentially converges to solution with a higher decay rate. We suggested to divide the rectangular domain into N square subdomains, where sensors provide spatially averaged discrete-time state measurements. We derive sufficient conditions ensuring regional exponential stability of the closed-loop system in terms of Linear Matrix Inequalities (LMIs) by using Lyapunov-Krasovskii method. The efficiency of the results is demonstrated by a numerical example.
| 源语言 | 英语 |
|---|---|
| 主期刊名 | 2019 IEEE 58th Conference on Decision and Control, CDC 2019 |
| 出版商 | Institute of Electrical and Electronics Engineers Inc. |
| 页 | 1201-1206 |
| 页数 | 6 |
| ISBN（电子版） | 9781728113982 |
| DOI | |
| 出版状态 | 已出版 - 12月 2019 |
| 已对外发布 | 是 |
| 活动 | 58th IEEE Conference on Decision and Control, CDC 2019 - Nice, 法国 期限: 11 12月 2019 → 13 12月 2019 |
出版系列
| 姓名 | Proceedings of the IEEE Conference on Decision and Control |
|---|---|
| 卷 | 2019-December |
| ISSN（印刷版） | 0743-1546 |
| ISSN（电子版） | 2576-2370 |
会议
| 会议 | 58th IEEE Conference on Decision and Control, CDC 2019 |
|---|---|
| 国家/地区 | 法国 |
| 市 | Nice |
| 时期 | 11/12/19 → 13/12/19 |
指纹
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Kang, W., Fridman, E., & Zhuk, S. (2019). Sampled-data observer for 2D Navier-Stokes equation. 在 2019 IEEE 58th Conference on Decision and Control, CDC 2019 (页码 1201-1206). 文章 9029275 (Proceedings of the IEEE Conference on Decision and Control; 卷 2019-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC40024.2019.9029275