Design of a state feedback controller for the stabilization of a magnetic levitation system considering a nonlinear second-order dynamic model
DOI:
https://doi.org/10.19139/soic-2310-5070-3747Keywords:
Magnetic levitation system, state-feedback controller, second-order dynamic model, linear controlAbstract
This paper addresses the stabilization and reference tracking problems in a magnetic levitation system, characterized by its inherent nonlinearity and open-loop instability. A second-order dynamic model of the system is derived, considering the injected current as the control input. An exact linearization procedure based on error dynamics is employed to obtain an equivalent linear representation. From this model, two state-feedback control strategies are developed: a conventional approach and an extended formulation that incorporates integral action to ensure accurate tracking of the reference position. The performance of the proposed schemes is evaluated against a decoupled nonlinear proportional–integral controller using metrics related to stability, transient response, and control effort. The results demonstrate the structural advantages of the state-space-based approach, highlighting its systematic capability to meet dynamic specifications while improving closed-loop behavior under disturbances and parametric variations.Downloads
Published
2026-07-15
How to Cite
Vergara-Espitia, C. A., S´anchez-Rodr´ıgue, J. S., & Montoya Giraldo, O. D. (2026). Design of a state feedback controller for the stabilization of a magnetic levitation system considering a nonlinear second-order dynamic model. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-3747
Issue
Section
Research Articles
License
Copyright (c) 2026 Carlos Andr´es Vergara-Espitia, Johan Sebasti´an S´anchez-Rodr´ıgue, Oscar Danilo Montoya Giraldo
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
