Abstract
The paper presents the results of solving the problem of designing stabilizing output controllers for an electromagnetic suspension system based on the use of Takagi-Sugeno fuzzy models. Two major problems were considered: the construction of stabilizing controllers and the construction of optimal controllers based on the quadratic performance criterion. To calculate the controllers, an original nonlinear mathematical model of the plant was replaced by an equivalent fuzzy model, which is a set of linear subsystems. For the synthesis of control laws, the apparatus of linear matrix inequalities was used. The calculated controllers for the fuzzy system were substituted into the original nonlinear object. The results of the mathematical modeling showed that using Takagi-Sugeno fuzzy models, it is possible to construct both a stabilizing controller and an optimal controller based on a quadratic performance criterion. The calculated controllers ensured rotor stabilization in a fairly wide range of initial deviations, up to the maximum possible values. Based on obtained results, it can be concluded that the presented approach, realized on the use of Takagi-Sugeno fuzzy models, allows one to describe the rotor dynamics in an electromagnetic suspension system in a wide range of initial disturbances.
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Acknowledgments
The author thanks his scientific adviser, Professor of Differential Equations Department of Lobachevsky State University D.V. Balandin for advice, as well as valuable and useful comments.
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Mukhin, A.V. (2021). Optimal Rotor Stabilization in an Electromagnetic Suspension System Using Takagi-Sugeno Fuzzy Models. In: Balandin, D., Barkalov, K., Gergel, V., Meyerov, I. (eds) Mathematical Modeling and Supercomputer Technologies. MMST 2020. Communications in Computer and Information Science, vol 1413. Springer, Cham. https://doi.org/10.1007/978-3-030-78759-2_16
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DOI: https://doi.org/10.1007/978-3-030-78759-2_16
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