2023/04/22 by Simon Kuang, Kuang, Simon
Engineering · #Stability and Controllability of Differential Equations #Advanced Control Systems Optimization #Stability and Control of Uncertain Systems
paper · pdf · doi:10.48550/arxiv.2305.08737
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.