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Improved IQC description to analyze interconnected systems with time-varying time-delays
Publikationstyp
Conference Paper
Date Issued
2015-07
Sprache
English
Author(s)
Institut
TORE-URI
Volume
2015-July
Start Page
5402
End Page
5407
Article Number
7172184
Citation
American Control Conference: 7172184 (2015-07)
Contribution to Conference
Publisher DOI
Scopus ID
In this paper integral quadratic constraints (IQCs) are used for robust stability analysis of interconnected systems with uncertain time-varying interconnection topology, that may encompass uncertain time-varying delays. In contrast to previous results frequency weighted multipliers are used that are known to decrease the conservatism enormously. To apply those, the swapping lemma known from adaptive control is used to deal with time-varying uncertainties. These have no Fourier transforms and thus do in general not commute with any weighting functions of the multipliers. Moreover, it is possible to incorporate bounds on the rate of change of the interconnection topology, if they exist, to reduce conservatism even further, when the interconnection is known not to vary arbitrarily fast or to be constant but uncertain.