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Robustness Analysis for Feedback Interconnections of Distributed Systems via Integral Quadratic Constraints
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2012 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 57, no 2, 302-317 p.Article in journal (Refereed) Published
Abstract [en]

A framework is established for directly accommodating feedback interconnections of unstable distributed-parameter transfer functions in robust stability analysis via integral quadratic constraints (IQCs). This involves transfer function homotopies that are continuous in a nu-gap metric sense. As such, the development includes the extension of nu-gap metric concepts to an irrational setting and the study of uncertainty-set connectedness in these terms. The main IQC based robust stability result is established for constantly-proper transfer functions in the Callier-Desoer algebra; i.e. finitely many unstable poles and a constant limit at infinity. Problems of structured robust stability analysis and robust performance analysis are considered to illustrate use of the main result. Several numerical examples are also presented. These include stability analysis of an autonomous system with uncertain time-delay and a closed-loop control system, accounting for both the gain and phase characteristics of the distributed-parameter uncertainty associated with the nominal rational plant model used for controller synthesis.

Place, publisher, year, edition, pages
2012. Vol. 57, no 2, 302-317 p.
Keyword [en]
Feedback, integral quadratic constraints (IQCs), robust stability, structured uncertainty, nu-gap metric
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
URN: urn:nbn:se:kth:diva-92060DOI: 10.1109/TAC.2011.2163335ISI: 000300844700003ScopusID: 2-s2.0-84856082690OAI: diva2:512236
Swedish Research CouncilICT - The Next Generation

QC 20120327

Available from: 2012-03-27 Created: 2012-03-26 Last updated: 2013-04-11Bibliographically approved

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Jönsson, Ulf T.
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