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A time-periodic sector condition for limit cycle robustness
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2007 (English)In: Proceedings Of The 46th IEEE Conference On Decision And Control, Vols 1-14, 2007, 1513-1519 p.Conference paper (Refereed)
Abstract [en]

Existence and robustness of periodic oscillations in autonomous feedback systems are considered for systems with separable nonlinearities. Local quadratic separation of the nonlinear dynamics from the linear part of the dynamics is used to characterize a set of systems that exhibit periodic oscillation in a bounded frequency and amplitude band range. The quadratic constraint is generated as a time-periodic sector condition that characterizes the nonlinearity along a nominal periodic solution. The main analysis condition is formulated as an operator inequality involving the nominal dynamics and the sector constraint. This is an infinite dimensional robustness test that must be truncated to be verified numerically. We discuss two possible ways of performing the analysis.

Place, publisher, year, edition, pages
2007. 1513-1519 p.
, IEEE Conference On Decision And Control - Proceedings, ISSN 0191-2216
National Category
URN: urn:nbn:se:kth:diva-41054DOI: 10.1109/CDC.2007.4434255ISI: 000255181700252ScopusID: 2-s2.0-62749136267ISBN: 978-1-4244-1497-0OAI: diva2:444794
46th IEEE Conference on Decision and Control Location: New Orleans, LA Date: DEC 12-14, 2007
QC 20110930Available from: 2011-09-30 Created: 2011-09-23 Last updated: 2011-09-30Bibliographically approved

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Jönsson, Ulf T.
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Optimization and Systems Theory

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