Stabilization and Control of Magnetic Levitation System Using 2-Degree-of-Freedom PID Controller

  • Brajesh Kumar SinghEmail author
  • Awadhesh Kumar
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 524)


The magnetic levitation (maglev) system has become a very efficient technology in the rapid mass transportation system due to its frictionless motion. It is an open-loop unstable system, so it requires a controller implementation for its stabilization and position-tracking. Since it is inherently a nonlinear system, its controller design is a challenging problem. This paper presents a 2-degree-of-freedom PID controller designed to stably levitate the object in the magnetic field as well as for the position-tracking. All the simulation works are performed under MATLAB environment, and the simulation results have been discussed at the end of this paper.


Magnetic levitation system Maglev PID Stability 2-Degree-of-Freedom PID controller 


  1. 1.
    Yaghoubi, H. (2013). The most important maglev applications. Journal of Engineering, 2013.Google Scholar
  2. 2.
    Rote, D. M., & Cai, Y. (2002). Review of dynamic stability of repulsive-force maglev suspension systems. IEEE Transactions on Magnetics, 38(2), 1383–1390.CrossRefGoogle Scholar
  3. 3.
    Charara, A., De Miras, J., & Caron, B. (1996). Nonlinear control of a magnetic levitation system without premagnetization. IEEE Transactions on Control Systems Technology, 4.5, 513–523.CrossRefGoogle Scholar
  4. 4.
    Pandey, Sandeep, Dwivedi, Prakash, & Junghare, Anjali. (2017). Anti-windup Fractional Order PIλ-PDμ controller design for unstable process: A magnetic levitation study case under actuator saturation. Arabian Journal for Science and Engineering, 42(12), 5015–5029.CrossRefGoogle Scholar
  5. 5.
    Green, Scott A., & Craig, Kevin C. (1998). Robust, digital, nonlinear control of magnetic-levitation systems. Journal of Dynamic Systems, Measurement, and Control, 120(4), 488–495.CrossRefGoogle Scholar
  6. 6.
    Pati, A., & Negi, R. (2014). Suboptimal control of magnetic levitation (Maglev) system. In 2014 3rd International Conference on Reliability, Infocom Technologies and Optimization (ICRITO) (Trends and Future Directions). IEEE.Google Scholar
  7. 7.
    Pati, A., Kumar, A., & Chandra, D. (2014). Suboptimal control using model order reduction. Chinese Journal of Engineering, 2014, Article ID 797581, 5 p. Hindawi Publishing Corporation.
  8. 8.
    Yang, Z.-J., & Tateishi, M. (2001). Adaptive robust nonlinear control of a magnetic levitation system. Automatica, 37(7), 1125–1131.CrossRefGoogle Scholar
  9. 9.
    Huang, H., Du, H., Li, W. (2015). Stability enhancement of magnetic levitation ball system with two controlled electromagnets. In 2015 Australasian Universities Power Engineering Conference (AUPEC). IEEE.Google Scholar
  10. 10.
    Arun, G. et al. (2014). Design and implementation of a 2-DOF PID compensation for magnetic levitation systems. ISA Transactions, 53.4, 1216–1222.Google Scholar
  11. 11.
    Ibraheem, Ibraheem Kasim. (2017). Design of a two-Degree-of-Freedom controller for a magnetic levitation system based on LQG technique. Al-Nahrain Journal for Engineering Sciences, 16(1), 67–77.Google Scholar
  12. 12.
    Ahsan, M., Masood, N., & Wali, F. (2013). Control of a magnetic levitation system using non-linear robust design tools. In 2013 3rd International Conference on Computer, Control & Communication (IC4). IEEE.Google Scholar
  13. 13.
    Kumar, E. V., & Jerome, J. (2013). LQR based optimal tuning of PID controller for trajectory tracking of magnetic levitation system. Procedia Engineering, 64, 254–264.CrossRefGoogle Scholar
  14. 14.
    Fallaha, C., Kanaan, H., & Saad, M. (2005). “Real time implementation of a sliding mode regulator for current-controlled magnetic levitation system. In Proceedings of the 2005 IEEE International Symposium on, Mediterranean Conference on Control and Automation Intelligent Control. IEEE.Google Scholar
  15. 15.
    Lukáš, R., Krhovják, A., & Bobál, V. (2017). Predictive control of the magnetic levitation model. In 2017 21st International Conference on Process Control (PC). IEEE.Google Scholar
  16. 16.
    Sharkawy, A. B., & Abo-Ismail, A. A. Intelligent Control of Magnetic Levitation System.Google Scholar
  17. 17.
    Aliasghary, M. et al. (2008). Magnetic levitation control based-on neural network and feedback error learning approach. In PECon 2008. IEEE 2nd International Power and Energy Conference, 2008. IEEE.Google Scholar

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© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Department of Electrical EngineeringMadan Mohan Malaviya University of TechnologyGorakhpurIndia

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