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. © 2007 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Yatsenko, V. A., & Pardalos, P. M. (2007). Mathematical modeling and optimization of superconducting sensors with magnetic levitation. In Lecture Notes in Economics and Mathematical Systems (Vol. 588, pp. 297–316). https://doi.org/10.1007/978-3-540-48271-0_18
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