Sensitivity Analysis of Continuous-Time Systems based on Power Spectral Density
Abstract
Bode integrals of sensitivity and sensitivity-like functions along with complementary sensitivity and complementary sensitivity-like functions are conventionally used for describing performance limitations of a feedback control system. In this paper, we show that in the case when the disturbance is a wide sense stationary process the (complementary) sensitivity Bode integral and the (complementary) sensitivity-like Bode integral are identical. A lower bound of the continuous-time complementary sensitivity-like Bode integral is also derived and examined with the linearized flight-path angle tracking control problem of an F-16 aircraft.
Keywords
Cite
@article{arxiv.1803.10788,
title = {Sensitivity Analysis of Continuous-Time Systems based on Power Spectral Density},
author = {Neng Wan and Dapeng Li and Naira Hovakimyan},
journal= {arXiv preprint arXiv:1803.10788},
year = {2018}
}
Comments
15 pages, 4 figures, 57th IEEE Conference on Decision and Control (CDC 2018), Miami Beach, FL, USA, December 17-19, 2018