Journals / Electrica / 2022 / Cilt: 22 - Sayı: 1

Robust Position Control of a Levitating Ball via a Backstepping Controller

Journal
Electrica
Pages
61–69
Publication Date
2022-10-12
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

After designing the proposed nonlinear controller, the overall closed-loop stability is accordingly analyzed with a Lyapunov-like function.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, a combination of a robust backstepping controller and an integral action for a magnetic levitation system is presented.
📊
Key Findings & Data:The mathematical model of the magnetic levitation system containing uncertainties and high-order nonlinear terms has quite a complex structure.
💡
Conclusion & Impact:After designing the proposed nonlinear controller, the overall closed-loop stability is accordingly analyzed with a Lyapunov-like function.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, a combination of a robust backstepping controller and an integral action for a magnetic levitation system is presented. The mathematical model of the magnetic levitation system containing uncertainties and high-order nonlinear terms has quite a complex structure. The principal aim of this study is to drive the ball position to the desired reference in the presence of a complex structure, parametric uncertainties, and time-varying disturbances. The designed nonlinear controller is based on the robust backstepping technique, in which the robustness is provided via nonlinear damping terms. The boundedness of the tracking error is guaranteed with this method. In order to eliminate steady-state position error caused by the uncertainties and unmodeled dynamics, an integral term is added to the controller structure. After designing the proposed nonlinear controller, the overall closed-loop stability is accordingly analyzed with a Lyapunov-like function. Simulation studies are performed and the results are presented to test the success and the performance of the proposed controller.

🔖

Cite This Article

TÜRKER, T., ADIGÜZEL, F. (2022). Robust Position Control of a Levitating Ball via a Backstepping Controller. Electrica, Cilt: 22 - Sayı: 1, 61–69. https://ajindex.com/articles/499896

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (14)

  1. L. Yan, “Development and application of the Maglev transportation system,” IEEE Trans. Appl. Supercond., vol. 18, no. 2, pp. 92–99, 2008
  2. P. Samanta and H. Hirani, “Magnetic bearing configurations: Theoretical and experimental studies,” IEEE Trans. Magn., vol. 44, no. 2, pp. 292–300, 2008
  3. M. Tsuda et al., “Vibration transmission characteristics against vertical vibration in magnetic levitation type hts seismic/vibration isolation device,” IEEE Trans. Appl. Supercond., vol. 19, no. 3, pp. 2249–2252, 2009
  4. Z.-J. Yang, K. Miyazaki, S. Kanae, and K. Wada, “Robust position control of a magnetic levitation system via dynamic surface control technique,” IEEE Trans. Ind. Electron., vol. 51, no. 1, pp. 26–34, 2004
  5. A. El Hajjaji and M. Ouladsine, “Modeling and nonlinear control of magnetic levitation systems,” IEEE Trans. Ind. Electron., vol. 48, no. 4, pp. 831–838, 2001
  6. N. I. Mahmoud, “A backstepping design of a control system for a magnetic levitation system,” M.Sc. thesis, Dept. Electr. Eng., Linköping Univ., Linköping, Sweden, 2003
  7. A. V. Duka, “Modelling of an electromagnetic levitation system using a neural network,” in IEEE Int. Conf. Autom. Qual. Test. Robot. (AQTR), 2010, pp. 1–5
  8. Y. Qin, H. Peng, W. Ruan, J. Wu, and J. Gao, “A modeling and control approach to magnetic levitation system based on state-dependent arx model,” J. Process Control, vol. 24, no. 1, pp. 93–112, 2014
  9. M. Golob and B. Tovornik, “Modeling and control of the magnetic suspension system,” ISA Trans., vol. 42, no. 1, pp. 89–100, 2003
  10. A. Javadi and S. Pezeshki, “A new model-free adaptive controller versus non-linear H1 controller for levitation of an electromagnetic system,” Trans. Inst. Meas. Control, vol. 35, no. 3, pp. 321–329, 2013
  11. J. de Jesús Rubio, L. Zhang, E. Lughofer, P. Cruz, A. Alsaedi, and T. Hayat, “Modeling and control with neural networks for a magnetic levitation system,” Neurocomputing, vol. 227, pp. 113–121, 2017
  12. Z. J. Yang and M. Minashima, “Robust nonlinear control of a feedback linearizable voltage-controlled magnetic levitation system,” IEEJ Trans. EIS, vol. 121, no. 7, pp. 1203–1211, 2001
  13. C. Bonivento, L. Gentili, and L. Marconi, “Balanced robust regulation of a magnetic levitation system,” IEEE Trans. Control. Syst. Technol., vol. 13, no. 6, pp. 1036–1044, 2005
  14. H. J. Shieh, J. H. Siao, and Y. C. Liu, “A robust optimal sliding-mode control approach for magnetic levitation systems,” Asian J. Control, vol. 12, no.