Frequency Response of Uncertain Systems: Strong Kharitonov-Like Results

Details Frequency Response of Uncertain Systems: Strong Kharitonov-Like Results Frequency Response of Uncertain Systems: Strong Kharitonov-Like Results

2002-02-16

arxiv.org/abs/math/0202151v1

Mathematics

Optimization and Control

18 pages, 8 figures

Scientific paper

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.

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