Robustness of a relaxation oscillator

Tryphon T. Georgiou, Malcolm C. Smith

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


The relaxation oscillator employs a negative integral action driving a bistable dynamic hysteresis-type nonlinear system via a feedback interconnection. The mathematical framework for the analysis of relaxation oscillator is developed. The background theory including a bound on the amount of modeling uncertainity, measured in gap metric, is presented. The theory guarantees the persistance of oscillatory behavior for the uncertain system. The robustness bounds are calculated by a specific class of perturbations of the negative integrator in the relay oscillator.

Original languageEnglish (US)
Pages (from-to)1005-1024
Number of pages20
JournalInternational Journal of Robust and Nonlinear Control
Issue number11
StatePublished - 2000


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