2-DOF Lead-plus-PI Control Approach for Magnetic Levitation System

A. C. R. Soon, S. H. Chong, M. A. Said

Abstract


This paper proposes Two-Degree of Freedom (2-DOF) Lead-plus-PI a classical linear control system for positioning control of a magnetic levitation (maglev) system. Maglev system has practical importance in many engineering system. However, maglev has inherently nonlinear and open loop unstable characteristics. Thus, it is a challenging task to control the maglev system. In this paper, the 2-DOF Lead-plus-PI controller is developed to control the positioning performance of the maglev system as it has simple control structure and straightforward design procedure that can be designed using root locus technique and Ziegler Nichols second method. The proposed controller can be easily implemented into the maglev system without require deep knowledge in control system. The effectiveness of the proposed controller is validated experimentally. Experimental results show the 2-DOF Lead-plus-PI controller has a better positioning accuracy and transient response in point-to-point motion, as compared to Lead-plus-PI controller. The proposed controller shows a position accuracy of 40 µm, which is around the vibration amplitude of the sensor output in open loop. It also takes less than 1 second to stabilize the ball within ± 200 µm and the steady state error has improved to around 45% in point-to-point positioning performance. Besides, the proposed controller also reduced the tracking error to about 48% as compared to Lead-plus-PI controller.

Keywords


Maglev; Classical Controller; Feedforward type; 2-DOF Controller; Positioning Performance

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References


M. Lashin, A. T. Elgammal, A. Ramadan, A. A. Abouelsoud, and S. F. M. Assal, “Fuzzy-based Gain Scheduling of Exact FeedForward Linearization Control and Sliding Mode Control for Magnetic Ball Levitation System : A Comparative Study,” in 2014 IEEE International Conference on Automation, Quality and Testing, Robotics, 2014, pp. 1–6.

P. K. Sinha, Electromagnetic Suspension Dynamic & Control. 1987.

N. Shawki and S. Alam, “Design and Implementation of a Magnetic Levitation System Using Phase Lead Compensation Technique,” in International Forum on Strategic Technology, 2014, pp. 294–299.

J. Y. Hung, “Nonlinear Control of a Magnetic Levitation System,” in Industrial Electronics, Control and Instrumentation, 1991, pp. 268–273.

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.

W. Barie and J. Chiasson, “Linear and nonlinear state-space controllers for magnetic levitation,” Int. J. Syst. Sci., vol. 27, no. 11, pp. 1153–1163, 1996.

R. Wai and J. Lee, “Development of Levitation Control for Linear Maglev Rail System via Backstepping Design Technique,” in IEEE Conference on Robotics, Automation and Mechatronics, 2006, pp. 1–6.

D. Cho, Y. Kato, and S. Darin, “Sliding Mode and Classical Control Magnetic Levitation System,” IEEE Control Syst., vol. 13, no. 1, pp. 42–48, 1993.

Ji.-C. Shen, “H ∞ Control and Sliding mode control of magnetic levitation system,” Asian Journal of Control, vol. 4, no. 3. pp. 333–340, 2002.

N. F. Al-Muthairi and M. Zribi, “Sliding Mode Control of a Magnetic Levitation System,” Math. Probl. Eng., vol. 2, no. October 2003, pp. 93–107, 2004.

F.-J. Lin, S.-Y. Chen, and K.-K. Shyu, “Robust dynamic sliding-mode control using adaptive RENN for magnetic levitation system.,” IEEE Trans. neural networks, vol. 20, no. 6, pp. 938–951, 2009.

K. Ishaque, Y. Saleem, S. S. Abdullah, M. Amjad, M. Rashid, and S. Kazi, “Single Input Fuzzy Logic Controller for Magnetic Levitation System,” in 2011 4th International Conference on Modeling, Simulation and Applied Optimization, 2011, pp. 1–6.

M. Araki and H. Taguchi, “Two-Degree-of-Freedom PID Controllers,” Int. J. Control. Autom. Syst., vol. 1, no. 4, pp. 401–411, 2003.

R. Gorez, “New design relations for 2-DOF PID-like control systems,” Automatica, vol. 39, pp. 901–908, 2003.

A. Ghosh, T. R. Krishnan, P. Tejaswy, A. Mandal, J. K. Pradhan, and S. Ranasingh, “Design and implementation of a 2-DOF PID compensation for magnetic levitation systems,” ISA Trans., vol. 53, no. 4, pp. 1216–1222, 2014.


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ISSN: 2180-1843

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