Magnetic Coil’s Performance Optimization with Nonsmooth Search Algorithms

Igor Reznichenko, Primož Podržaj () and Aljoša Peperko
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Igor Reznichenko: Faculty of Mechanical Engineering, University of Ljubljana, 1000 Ljubljana, Slovenia
Primož Podržaj: Faculty of Mechanical Engineering, University of Ljubljana, 1000 Ljubljana, Slovenia
Aljoša Peperko: Faculty of Mechanical Engineering, University of Ljubljana, 1000 Ljubljana, Slovenia

Mathematics, 2025, vol. 13, issue 15, 1-19

Abstract: This research is concerned with design optimization of control systems. Our case study deals with magnetic levitation, in which an essential part is a solenoid. Its dimensions, along with controller parameters, form the optimization variables. We present a novel way of writing the explicit expression of the solenoid’s force acting on a magnetic dipole, as well as its first derivatives. Numerical tests using non-gradient search algorithms show the difference in optimal designs provided by these methods. Since such optimization depends on output signals, a comparison of step response analysis methods is presented.

Keywords: control theory; optimization; metaheuristic algorithms; step response analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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