A SECTOR CONDITION FOR LIMIT CYCLE ROBUSTNESS
2008 (English)In: SIAM Journal of Control and Optimization, ISSN 0363-0129, E-ISSN 1095-7138, Vol. 47, no 6, 2745-2772 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2008. Vol. 47, no 6, 2745-2772 p.
limit cycles, uncertain system, robustness, systems
IdentifiersURN: urn:nbn:se:kth:diva-18154DOI: 10.1137/070701108ISI: 000263103300001ScopusID: 2-s2.0-56449126226OAI: oai:DiVA.org:kth-18154DiVA: diva2:336200
QC 201005252010-08-052010-08-05Bibliographically approved