Robustness analysis with parameter-varying integral quadratic constraints

Harald Pfifer; Peter J Seiler Jr

doi:10.1109/ACC.2015.7170725

Robustness analysis with parameter-varying integral quadratic constraints

Harald Pfifer, Peter J Seiler Jr

Aerospace Engineering and Mechanics

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	ACC 2015 - 2015 American Control Conference
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	138-143
Number of pages	6
ISBN (Electronic)	9781479986842
DOIs	https://doi.org/10.1109/ACC.2015.7170725
State	Published - Jul 28 2015
Event	2015 American Control Conference, ACC 2015 - Chicago, United States Duration: Jul 1 2015 → Jul 3 2015

Publication series

Name	Proceedings of the American Control Conference
Volume	2015-July
ISSN (Print)	0743-1619

Conference

Conference	2015 American Control Conference, ACC 2015
Country/Territory	United States
City	Chicago
Period	7/1/15 → 7/3/15

Bibliographical note

Publisher Copyright:
© 2015 American Automatic Control Council.

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10.1109/ACC.2015.7170725

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Robustness analysis with parameter-varying integral quadratic constraints. / Pfifer, Harald; Seiler Jr, Peter J.
ACC 2015 - 2015 American Control Conference. Institute of Electrical and Electronics Engineers Inc., 2015. p. 138-143 7170725 (Proceedings of the American Control Conference; Vol. 2015-July).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Pfifer, H & Seiler Jr, PJ 2015, Robustness analysis with parameter-varying integral quadratic constraints. in ACC 2015 - 2015 American Control Conference., 7170725, Proceedings of the American Control Conference, vol. 2015-July, Institute of Electrical and Electronics Engineers Inc., pp. 138-143, 2015 American Control Conference, ACC 2015, Chicago, United States, 7/1/15. https://doi.org/10.1109/ACC.2015.7170725

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Robustness analysis with parameter-varying integral quadratic constraints

Abstract

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Bibliographical note

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