Mathematical Modeling and Optimization of Superconducting Sensors with Magnetic Levitation

Vitaliy A. Yatsenko () and Panos M. Pardalos ()
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Vitaliy A. Yatsenko: Space Research Institute of NASU and NSAU
Panos M. Pardalos: University of Florida

A chapter in Cooperative Systems, 2007, pp 297-316 from Springer

Abstract: Summary Nonlinear properties of a magnetic levitation system and an algorithm of a probe stability are studied. The phenomenon, in which a macroscopic superconducting ring chaotically and magnetically levitates, is considered. A nonlinear control scheme of a dynamic type is proposed for the control of a magnetic levitation system. The proposed controller guarantees the asymptotic regulation of the system states to their desired values. We found that if a non-linear feedback is used then the probe chaotically moves near an equilibrium state. An optimization approach for selection of optimum parameters is discussed.

Keywords: Magnetic Force; Chaotic Motion; Levitation Force; Magnetic Bearing; Magnetic Levitation (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnechp:978-3-540-48271-0_18

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DOI: 10.1007/978-3-540-48271-0_18

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