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A SECTOR CONDITION FOR LIMIT CYCLE ROBUSTNESS
KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Optimeringslära och systemteori.
2008 (engelsk)Inngår i: SIAM Journal of Control and Optimization, ISSN 0363-0129, E-ISSN 1095-7138, Vol. 47, nr 6, s. 2745-2772Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

Robustness of periodic oscillations in autonomous feedback systems is 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 range. The quadratic constraint is generated as a time-periodic sector condition that characterizes the nonlinearity around 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.

sted, utgiver, år, opplag, sider
2008. Vol. 47, nr 6, s. 2745-2772
Emneord [en]
limit cycles, uncertain system, robustness, systems
Identifikatorer
URN: urn:nbn:se:kth:diva-18154DOI: 10.1137/070701108ISI: 000263103300001Scopus ID: 2-s2.0-56449126226OAI: oai:DiVA.org:kth-18154DiVA, id: diva2:336200
Merknad
QC 20100525Tilgjengelig fra: 2010-08-05 Laget: 2010-08-05 Sist oppdatert: 2017-12-12bibliografisk kontrollert

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