分布式端口哈密顿系统鲁棒调节的李雅普诺夫方法
最优化与控制
2023-03-01 v4 偏微分方程分析
泛函分析
摘要
本文研究边界控制的无限维端口-哈密顿系统（包括欧拉-伯努利梁等二阶模型）的鲁棒输出跟踪与扰动抑制。控制设计采用内模原理，稳定性分析采用李雅普诺夫方法。与现有同类工作不同，本文对所考虑的一类偏微分方程不假设其外部适定性。结果应用于原子力成像中压电驱动管的鲁棒跟踪。
引用
@article{arxiv.1906.03867,
title = {A Lyapunov Approach to Robust Regulation of Distributed Port-Hamiltonian Systems},
author = {Lassi Paunonen and Yann Le Gorrec and Héctor Ramírez},
journal= {arXiv preprint arXiv:1906.03867},
year = {2023}
}
备注
A minor revision with a correction to the simulation example in Section 6. 18 pages, 2 figures. Accepted for publication as a Technical Note in the IEEE Transactions on Automatic Control. The preprint is the final author submitted version. The reproducible simulation code is available in CodeOcean at https://doi.org/10.24433/CO.8086839.v1