Graceful switching in hybrid models

Katerina Georgiou, Tryphon T. Georgiou

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Classical oscillators, such as the ideal pendulum and the harmonic oscillator, can be modeled as switching systems. In these models, the switching takes place in a "graceful" fashion when the rate of displacement is zero. Such examples raise the question of whether hybrid models with such "graceful" switching can be modeled using ordinary differential equations, and of how to identify cases of hybrid systems which admit alternative classical descriptions in higher dimensions. Conversely, in a similar spirit, we discuss how a relaxation oscillator which consists of an integrator in feedback with an ideal relay-hysteresis can be approximated by a second order system.

Original languageEnglish (US)
Title of host publicationProceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Pages3882-3884
Number of pages3
DOIs
StatePublished - Dec 1 2009
Event48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China
Duration: Dec 15 2009Dec 18 2009

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
CountryChina
CityShanghai
Period12/15/0912/18/09

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