Graceful switching in hybrid models

Katerina Georgiou; Tryphon T. Georgiou

doi:10.1109/CDC.2009.5399582

Graceful switching in hybrid models

Katerina Georgiou, Tryphon T. Georgiou

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Pages	3882-3884
Number of pages	3
DOIs	https://doi.org/10.1109/CDC.2009.5399582
State	Published - Dec 1 2009
Event	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China Duration: Dec 15 2009 → Dec 18 2009

Publication series

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

Other

Other	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Country	China
City	Shanghai
Period	12/15/09 → 12/18/09

Access

10.1109/CDC.2009.5399582

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Graceful switching in hybrid models. / Georgiou, Katerina; Georgiou, Tryphon T.

Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. p. 3882-3884 5399582 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Georgiou, K & Georgiou, TT 2009, Graceful switching in hybrid models. in Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009., 5399582, Proceedings of the IEEE Conference on Decision and Control, pp. 3882-3884, 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009, Shanghai, China, 12/15/09. https://doi.org/10.1109/CDC.2009.5399582

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