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Mathematical Modeling and Optimization of Superconducting Sensors with Magnetic Levitation

In: Cooperative Systems

Author

Listed:
  • Vitaliy A. Yatsenko

    (Space Research Institute of NASU and NSAU)

  • Panos M. Pardalos

    (University of Florida)

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.

Suggested Citation

  • Vitaliy A. Yatsenko & Panos M. Pardalos, 2007. "Mathematical Modeling and Optimization of Superconducting Sensors with Magnetic Levitation," Lecture Notes in Economics and Mathematical Systems, in: Don Grundel & Robert Murphey & Panos Pardalos & Oleg Prokopyev (ed.), Cooperative Systems, pages 297-316, Springer.
    • Handle: RePEc:spr:lnechp:978-3-540-48271-0_18
    DOI: 10.1007/978-3-540-48271-0_18
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