Dirty derivative stability in the frequency domain
Optimization and Control
2023-05-16 v1 Systems and Control
Systems and Control
Abstract
Differentiation filters can be made proper by composition with a first-order low-pass filter at a desired bandwidth, resulting in a "dirty derivative." A stable closed-loop system that relies on output derivatives remains stable when the derivatives are replaced with dirty derivatives of sufficiently high bandwidth. I prove and generalize this fact by a frequency-domain argument.
Cite
@article{arxiv.2305.08737,
title = {Dirty derivative stability in the frequency domain},
author = {Simon Kuang},
journal= {arXiv preprint arXiv:2305.08737},
year = {2023}
}