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) |
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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 | |
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 |
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Volume | 2015-July |
ISSN (Print) | 0743-1619 |
Conference
Conference | 2015 American Control Conference, ACC 2015 |
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Country/Territory | United States |
City | Chicago |
Period | 7/1/15 → 7/3/15 |
Bibliographical note
Publisher Copyright:© 2015 American Automatic Control Council.