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Guaranteed multi-loop stability margins and the gap metric

Authors: Keith Glover; Glenn Vinnicombe; George Papageorgiou;

Guaranteed multi-loop stability margins and the gap metric

Abstract

The gap metric and nu-gap metric have many appealing properties for assessing the uncertainty in a plant in a feedback configuration. This short paper addresses the question of relating these generalised stability margins to more traditional single-loop and multiloop robustness measures. In particular we show that when a system is controlled by a controller which provides a stability margin of /spl epsiv/ in the gap metric for the weighted plant then if the weighting matrices are diagonal the plant will have robust stability to easily interpreted simultaneous gain and phase variations at all the inputs and outputs.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
19
Average
Top 10%
Top 10%
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