A Control Approach for Limiting Overshoot in Transient Response of an Active Magnetic Bearing
Main Article Content
Abstract
A nonlinear controller design procedure for high performance 2DOF active magnetic bearings (AMB) with rotor response constrain is presented in the paper. The nonlinear dynamics of the AMB are derived. Based on the strictly feedback form of the AMB mathematical model, backstepping control is employed to design the the switching type controller that can steers the AMB rotor at the origin. The overshoot and undershoot of the rotor response are limited winthin expected value due to the selectrion of the Lyapunov candidate function in control design process. Stability of the whole system is proven properly. Simulations show the ability to stabilize the system of the proposed control.
Keywords
Active magnetic bearing, backstepping, Barrier Lyapunov
Article Details
References
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[2] Michael G. Farmakopoulos, Michalis D. Thanou, Pantelis G. Nikolakopoulos, Anthony P. Tzes, Chris A. Papadopoulos, "A Control Model of Active Magnetic Bearings" in 3rd International Conference of Engineering Against Failure (ICEAF III), 26-28 June 2013, Kos, Greece.
[3] Fuat Gurleyen, Çagri Bahadir, "Adaptive Control Strategy for Active Magnetic Bearings" in 9th IFAC Workshop "Adaptation and Learning in Control and Signal Process" (ALCOSP'07), August 29-31, 2007, Saint Petersburg, Russia.
[4] Abdul-Hadi G. Abulrub. Clifford R. Burrows, M. Necip Sahinkaya, Patrick S. Keogh, "Active control of Active Magnetic Bearings to prevent Rotor- bearing contact" in Proceedings of International Mechanical Engineering Congress and Exposition 2006, November 5-10, 2006, Chicago, Illinois, USA, IMECE2006-13993.
[5] Beat Aeschlimann, "Control Aspects of high precision Active Magnetic Bearings", Dortor's Thesis No. 2489 (2001) École Polytechnique Fédérale de Lausanne a.k.a Swiss Federal Institute of Technology in Lausanne.
[6] H. Du, N. Zhang, J. C. Ji & W. Gao, "Robust fuzzy control of an active magnetic bearing subject to voltage saturation," IEEE transactions on control systems technology: a publication of the IEEE Control Systems Technology, 18 (1), pp. 164-169, 2010.
[7] Đức Nguyễn Trung, Lâm Nguyễn Tùng, Khánh Phan Phú, Huy Nguyễn Danh, Địch Nguyễn Quang, “Điều khiển phi tuyến ổ bị từ chủ động”, Hội nghị toàn quốc lần thứ 3 về Điều khiển và Tự động hóa, VCCA - 2015.
[8] Krstíc, M.; Kanellakopoulos 1.: Kokotovíc, P.: Nonlinear and Adaptive Control Design. John Wiley & Sons, Inc., New York 1995.
[9] Keng Peng Tee, Shuzhi Sam Ge. Eng Hock Tay: "Barrier Lyapunov Functions for the control of output-constrained nonlinear systems". Automatica (2009.