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

Content Provider	IEEE Xplore Digital Library
Author	Yadukumar, S.N. Kothapalli, B. Ames, A.D.
Copyright Year	2012
Description	Author affiliation: Fac. of Mech. Eng., Texas A&M Univ., College Station, TX, USA (Ames, A.D.) \|\| Dept. of Mech. Eng., Texas A&M Univ., College Station, TX, USA (Kothapalli, B.) \|\| Dept. of Electr. Eng., Texas A&M Univ., College Station, TX, USA (Yadukumar, S.N.)
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.
Sponsorship	IEEE Control Syst. Soc.
Starting Page	2437
Ending Page	2442
File Size	1393991
Page Count	6
File Format	PDF
ISBN	9781457710957
ISSN	07431619
e-ISBN	9781457710964
e-ISBN	9781467321020
DOI	10.1109/ACC.2012.6315696
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-06-27
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Orbits Solid modeling DC motors Permanent magnet motors Vectors Electromechanical systems Mechanical systems
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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