Representation of uncertain time delays in the H∞framework‡
作者:
ZI-QIN WANG,
PETTER LUNDSTRÖM,
SIGURD SKOGESTAD,
期刊:
International Journal of Control
(Taylor Available online 1994)
卷期:
Volume 59,
issue 3
页码: 627-638
ISSN:0020-7179
年代: 1994
DOI:10.1080/00207179408923097
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
How to represent an uncertain time delay in a form suitable for robust control in terms of the H∞-norm and the structured singular value (µ) is discussed. To use µ-synthesis the uncertain delay has to be approximated to yield a proper rational interconnection matrix M(s) and a purely complex perturbation matrix? (s). The parametric average of the delay is usually included in the nominal model, while the uncertain perturbation covers variation around the average delay. It is proposed to model the nominal time delay as uncertainty, i.e. using a larger uncertainty set. This yields a delay-free nominal model, which simplifies the controller synthesis. For the cases studied the delay free nominal model does not yield a more conservative design than the average delay model, despite its larger uncertainty set.
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