State-PID Feedback for Magnetic Levitation System

Abstract:

In this paper we consider stabilization control of a magnetic levitation system by state-PID feedback. First, a linear model that represents the nonlinear dynamics of the magnetic levitation system is derived by the feedback linearization technique. Then, the state-PID feedback control developed from the linear model is proposed. Results are compared between the conventional state feedback technique and the proposed method. The proposed control scheme introducing an integral element to work with the gain can effectively eliminate the state errors. Simulation results show the effectiveness of the proposed method for disturbance dampening and stabilizing the system.

• Periodical: Advanced Materials Research (Volumes 622-623)
• Pages: 1467-1473
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.622-623.1467
• Online since: December 2012
• Authors: Witchupong Wiboonjaroen, Sarawut Sujitjorn
• Keywords: Magnetic Levitation, Pole Placement, Stability, Stabilization, State-PID Feedback

References

[1] H. Chen, A. Hao and Z. Long: The controller design and performance index analysis of Maglev train's suspension system, in Proc. Of the 5th world congress on Intelligent Control and Automation, China (2004), pp.596-599.

DOI: 10.1109/wcica.2004.1340645

[2] L. Yan: Development and application of Maglev transportation system, IEEE Transactions on Applied Superconductivity, Vol. 18, No. 2 (2008), p.92–99.

DOI: 10.1109/tasc.2008.922239

[3] G. Shu and R. Meisinger: State Estimation and Simulation of the magnetic Levitation System of a High-Speed Maglev Train, International Conference on Electronic & Mechanical Engineering and Information Technology, 12-14 August (2011).

DOI: 10.1109/emeit.2011.6023250

[4] H.W. Lee, K.C. Kim and J. Lee: Review of Maglev train technologies, IEEE Transactions on Magnetics, Vol. 42, No. 7 (2006), p.1917-(1925).

DOI: 10.1109/tmag.2006.875842

[5] P. Samanta and H. Hirani: Magnetic bearing configurations Theoretical and experimental studies, IEEE Transactions on Magnetics., Vol. 44, No. 2 (2008), p.292–300.

DOI: 10.1109/tmag.2007.912854

[6] D. S Liu, J. Li and W.S. Chang: Internal model control for magnetic suspension system, in Proceedings of the 4th International Conference on Machine Learning and Cybernetics, Guangzhou, China (2005), pp.482-487.

DOI: 10.1109/icmlc.2005.1526994

[7] Z.J. Yang, K. Miyazaki, S. Kanae, and K. Wada: Robust position control of a magnetic levitation system via dynamic surface control technique, IEEE Transaction on Industrial Electronic, Vol. 51, No. 1 (2004), pp.26-34.

DOI: 10.1109/tie.2003.822095

[8] W. Barie and J. Ckiasoson: Linear and nonlinear state-space controllers for magnetic levitation, International Journal of systems Science, Vol. 27, No. 11 (1996), pp.1153-1163.

DOI: 10.1080/00207729608929322

[9] H. Liu and X. Zhang and W. Chang: PID Control to Maglev Train System, International Conference on Industrial and Information Systems (2009).

DOI: 10.1109/iis.2009.24

[10] C. Peng, L. Jie, Z. Kun and C. Wensen: Design of the Suspension Controller Based on Compensating Feedback Linearization, International Conference on Measuring Technology and Mechatronics Automation. ( 2010).

DOI: 10.1109/icmtma.2010.714

[11] D.S. Liu, J. Li and W.S. Chang: Internal model control for magnetic suspension systems, in Proceedings of the Fourth International Conference on Machine Learning and Cybernetics, Guangzhou, 18-21. August (2005), pp.482-487.

[12] Yang and M. Tateishi: Adaptive robust nonlinear control of a magnetic levitation system, Automatica, Vol. 37 (2001), pp.1125-1131.

DOI: 10.1016/s0005-1098(01)00063-2

[13] N. F. Al-muthairi and M. Zribi: Sliding Mode Control of a Magnetic Levitation System, Mathematical Problems in Engineering, Vol. 2 (2004), p.93–107.

DOI: 10.1155/s1024123x04310033

[14] A.E. Hajjaji and M. Ouladsine: Modeling and nonlinear control of magnetic levitation systems, IEEE Transaction on Industrial Electronic, Vol. 48, No. 4 (2001), p.831–838.

DOI: 10.1109/41.937416

[15] S.J. Joo and J. H. Seo: Design and analysis of the nonlinear feedback linearizing control for an electromagnetic suspension system, IEEE Transactions on Control System Technology, Vol. 5, No. 1 (1997), p.135–144.

DOI: 10.1109/87.553672

[16] S. Sujitjorn and W. Wiboonjaroen: State-PID feedback for pole placement of LTI system, Mathematical Problems in Engineering, 929430-DOI (2011).

DOI: 10.1155/2011/929430

[17] J. Ackermann: Der Entwurf linearer Regelungsysteme im Zustandraum, Regeltech, Proz. - Datenverarb (1972), pp.297-300.

[18] K. Ogata, in: Modern Control Engineering. Third Edition, Prentice Hall (1997).