Robustness analysis with parameter-varying integral quadratic constraints

Harald Pfifer, Peter J Seiler Jr

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Scopus citations

Abstract

The paper considers the analysis of the worst-case input/output gain of an interconnection of a known linear parameter varying system and a perturbation. The input/output behavior of the perturbation is described by an integral quadratic constraint (IQC). Recent results have shown that under certain technical conditions IQCs can be formulated as a finite horizon time domain constraint. The worst-case input/output gain of the interconnection can then be bounded using a dissipation inequality that incorporates the IQCs. Unlike the classical frequency domain approach to IQCs, this time domain interpretation opens up a new class of IQCs, where the IQC itself is parameter-varying. Various examples for parameter-varying IQCs for different classes of perturbations are given. A simple numerical example shows that the introduction of parameter-varying IQCs can lead to less conservative bounds on the worst-case gain.

Original languageEnglish (US)
Title of host publicationACC 2015 - 2015 American Control Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages138-143
Number of pages6
ISBN (Electronic)9781479986842
DOIs
StatePublished - Jul 28 2015
Event2015 American Control Conference, ACC 2015 - Chicago, United States
Duration: Jul 1 2015Jul 3 2015

Publication series

NameProceedings of the American Control Conference
Volume2015-July
ISSN (Print)0743-1619

Conference

Conference2015 American Control Conference, ACC 2015
CountryUnited States
CityChicago
Period7/1/157/3/15

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