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.
This work is partially supported by Airforce, CRDF and STCU grants
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Yatsenko, V.A., Pardalos, P.M. (2007). Mathematical Modeling and Optimization of Superconducting Sensors with Magnetic Levitation. In: Grundel, D., Murphey, R., Pardalos, P., Prokopyev, O. (eds) Cooperative Systems. Lecture Notes in Economics and Mathematical Systems, vol 588. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-48271-0_18
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DOI: https://doi.org/10.1007/978-3-540-48271-0_18
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