Frequency Response of Uncertain Systems: Strong Kharitonov-Like Results
Optimization and Control
2007-05-23 v1 Dynamical Systems
Abstract
In this paper, we study the frequency response of uncertain systems using Kharitonov stability theory on first order complex polynomial set. For an interval transfer function, we show that the minimal real part of the frequency response at any fixed frequency is attained at some prescribed vertex transfer functions. By further geometric and algebraic analysis, we identify an index for strict positive realness of interval transfer functions. Some extensions and applications in positivity verification and robust absolute stability of feedback control systems are also presented.
Keywords
Cite
@article{arxiv.math/0202151,
title = {Frequency Response of Uncertain Systems: Strong Kharitonov-Like Results},
author = {Long Wang},
journal= {arXiv preprint arXiv:math/0202151},
year = {2007}
}
Comments
18 pages, 8 figures