| Issue |
ESAIM: COCV
Volume 31, 2025
|
|
|---|---|---|
| Article Number | 11 | |
| Number of page(s) | 35 | |
| DOI | https://doi.org/10.1051/cocv/2024092 | |
| Published online | 10 February 2025 | |
Output feedback stabilizability of periodic sampled-data control systems
1
School of Mathematics and Physics of China University of Geoscience, Wuhan 430074, PR China
2
Center for Applied Mathematics, Tianjin University, Tianjin 300072, PR China
3
School of Mathematics and Statistics, HNP-LAMA, Central South University, Changsha 410083, PR China
* Corresponding author: ly_ma@tju.edu.cn
Received:
12
September
2024
Accepted:
12
December
2024
In this work, a characterization in terms of weak observability inequalities is built up for output feedback stabilizability of linear periodic sampled-data control systems with a given decay rate. Based on this characterization, we give a verifiable condition to ensure the output feedback stabilizability of a class of periodic sampled-data control systems coupled by constant matrices. Finally, we provide several valuable examples as applications of our main result.
Mathematics Subject Classification: 93D15 / 93D23 / 93B05 / 93C25
Key words: Observer-based feedback / stabilizability / detectability / sampled-data control / coupled with constant matrices
© The authors. Published by EDP Sciences, SMAI 2025
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