正则线性系统的时变内模与未知谐波信号调节
最优化与控制
2022-04-12 v2
摘要
我们给出了关于带非自治控制器的正则线性系统适定性与输出调节的一般结果。我们提出了内模原理对于具有渐近收敛参数的时变控制器的推广。这一一般结果被用于针对未知频率谐波信号的输出跟踪与扰动抑制的控制器设计。我们的控制器可灵活地与不同频率估计方法结合。结果在一维边界控制热方程的未知谐波扰动抑制中得到说明。
引用
@article{arxiv.2002.09684,
title = {Time-Varying Internal Models and Regulation of Unknown Harmonic Signals for Regular Linear Systems},
author = {Lassi Paunonen and Sepideh Afshar},
journal= {arXiv preprint arXiv:2002.09684},
year = {2022}
}
备注
34 pages, 2 figures, submitted. The manuscript has been rewritten completely. The previous results were generalised to the class of regular linear systems, and a detailed study of well-posedness of the nonautonomous closed-loop system has been added. The frequency estimation is now completed based on a special auxiliary signal instead of the reference signal