Generalized Nyquist bands for structured and highly structured uncertainty
作者:
B. KOUVARITAKIS,
J. A. ROSSITER,
J. WANG,
期刊:
International Journal of Control
(Taylor Available online 1991)
卷期:
Volume 53,
issue 6
页码: 1295-1309
ISSN:0020-7179
年代: 1991
DOI:10.1080/00207179108953676
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Additive uncertainty of multivariable systems is often assumed to be either unstructured or structured, depending on whether the size or uncertainty is defined in terms of maximum singular value bounds, or bounds on the moduli of individual elements. In many practical situations, however, more information is available, and in particular the frequency response of the elements of uncertainty often display ‘directionality’. To exploit this ‘directionality’ the present paper adopts elliptical rather than circular bounds on the elements of uncertainty and derives an algorithm that generates exact eigenvalue regions which, in turn, can be deployed in the construction of exact generalized Nyquist bands. With the aid of such bands it is possible to get an exact (non-conservative) assessment of the stability margins and of other aspects of the dynamic performance of a much wider class of uncertain multivariable systems.
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