论文标题
在一类规定的时间算法的稳健性和性能方面的固有局限性
On inherent limitations in robustness and performance for a class of prescribed-time algorithms
论文作者
论文摘要
基于时变收益的规定时间算法可能具有显着的属性，例如在用户规定的有限时间中进行调节，对于每个非零的初始条件都是相同的，即使在匹配的干扰下也可以保持。但是，同时，已知这种算法缺乏对测量噪声的鲁棒性。本说明表明，一类规定的时间算法缺乏鲁棒性是一种极端形式。具体而言，我们显示了任意小的测量噪声的存在，从而导致相当大的偏差，差异和其他有害后果。我们还讨论了现有解决方法的一些缺点和权衡，以作为进一步分析的动机。
Prescribed-time algorithms based on time-varying gains may have remarkable properties, such as regulation in a user-prescribed finite time that is the same for every nonzero initial condition and that holds even under matched disturbances. However, at the same time, such algorithms are known to lack robustness to measurement noise. This note shows that the lack of robustness of a class of prescribed-time algorithms is of an extreme form. Specifically, we show the existence of arbitrarily small measurement noises causing considerable deviations, divergence, and other detrimental consequences. We also discuss some drawbacks and trade-offs of existing workarounds as motivation for further analysis.
