A Generalization of the Structured Singular Value and Its Application to Model Validation


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Author / Producer

Date

1998-07

Publication Type

Journal Article

ETH Bibliography

no

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Abstract

The structured singular value, µ, gives a means of assessing the stability and performance of a system under a class of norm bounded structured perturbations. This paper introduces a generalization of µ which guarantees stability with respect to perturbations where some elements of the perturbation structure are bounded from above and some are bounded from below. This generalization is used to solve the frequency domain robust control model validation problem. Model validation determines whether or not there exists a model in the model set and a bounded noise signal that is consistent with the experimental input-output measurements. A computable convex upper bound to the generalized µ problem is presented, and the relationship between the generalized µ problem and the standard µ and model validation problems is discussed.

Publication status

published

Editor

Book title

Volume

43 (7)

Pages / Article No.

901 - 907

Publisher

IEEE

Event

Edition / version

Methods

Software

Geographic location

Date collected

Date created

Subject

Model validation; Robustness analysis; Structured singular value

Organisational unit

08814 - Smith, Roy (Tit.-Prof.) (ehemalig) / Smith, Roy (Tit.-Prof.) (former)

Notes

Funding

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