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Zeno behavior in electromechanical hybrid systems: From theory to experimental validation

Yadukumar, Shishir Nadubettu and Kothapalli, Bhargav and Ames, Aaron D. (2012) Zeno behavior in electromechanical hybrid systems: From theory to experimental validation. In: 2012 American Control Conference (ACC). IEEE , Piscataway, NJ, pp. 2437-2442. ISBN 978-1-4577-1096-4. https://resolver.caltech.edu/CaltechAUTHORS:20190213-095536575

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Abstract

The goal of this paper is to assess the capacity of Zeno phenomena to correctly predict the behavior of real physical systems. We begin by considering electromechanical hybrid systems. Formal conditions are given on when systems of this form display Zeno behavior, in which case the hybrid model is completed to allow for solutions to be carried past the Zeno point. The end result is periods of unconstrained and constrained motion, with transitions to the constrained motion occurring at the Zeno point, i.e., a Zeno periodic orbit. We then consider a double pendulum with a mechanical stop controlled by a DC motor, use these formal methods to predict the existence of a Zeno periodic orbit in simulation, and verify through experimentation that Zeno behavior provides an accurate description of the behavior of the physical system.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/ACC.2012.6315696DOIArticle
ORCID:
AuthorORCID
Ames, Aaron D.0000-0003-0848-3177
Additional Information:© 2012 AACC. This work is supported in by NSF grant CNS-0953823.
Funders:
Funding AgencyGrant Number
NSFCNS-0953823
Record Number:CaltechAUTHORS:20190213-095536575
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190213-095536575
Official Citation:S. N. Yadukumar, B. Kothapalli and A. D. Ames, "Zeno behavior in electromechanical hybrid systems: From theory to experimental validation," 2012 American Control Conference (ACC), Montreal, QC, 2012, pp. 2437-2442. doi: 10.1109/ACC.2012.6315696
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92877
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:13 Feb 2019 18:21
Last Modified:03 Oct 2019 20:49

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