A sliding mode controller design for nonlaminated magnetic levitation systems
225 viewsDOI:
https://doi.org/10.54939/1859-1043.j.mst.FEE.2022.81-89Keywords:
Sliding mode control; Non-laminated structure; Electromagnetic bearing; Disturbances; Fractional order derivative.Sliding mode control; Non-laminated structure; Electromagnetic bearing; Disturbances; Fractional order derivative.Abstract
This paper investigates sliding mode control methods for 1-DOF non-laminated active magnetic bearings 1 DOF. A dynamic model of non-laminated active magnetic bearings is expressed that it is difficult to design a model-based controller under nonlinear disturbance components such as eddy current losses in the actuator, external disturbance and uncertain parameters. In order to solve this problem, the sliding control methods are studied to improve the robustness of the controller. The working ability of the non-laminated active magnetic bearings and the effectiveness of the control system is demontrated by MatlabSimulink software and the sliding control method applied to the case of Sigmoid function proposed in this paper has improved the disadvantages of Sign and Sat-Pi functions.
References
[1]. Zackary W. Whitlow “Modeling and Control of Non-laminated Active Magnetic Thrust Bearings” In Partial Fulfillment of the requirements for the Degree Master of Science (Mechanical and Aerospace Engineering), December (2014).
[2]. L. Zhu, C. Knospe, and E. Maslen, “An analytical model of a nonlaminated cylindrical magnetic actuator including eddy currents,” IEEE Trans. Magn., vol. 41, no. 4, pp. 1248–1258, Apr. (2005). DOI: https://doi.org/10.1109/TMAG.2005.844847
[3]. L. Zhu, C. Knospe, and E. Maslen, “Frequency domain modeling of nonlaminated C-shaped magnetic actuators,” in Proc. 9th Int. Symp. Magn. Bearings, Lexington, KY, Aug. 2004, pp. 1–6, (2004).
[4]. Lei Zhu, “Non-laminated Magnetic Actuators: Modeling and Performance Limitations”, A Dissertation Presented to the Faculty of the School of Engineering and Applied Science University of Virginia. (2005).
[5]. Lei Zhu and Carl R. Knospe, Senior Member, IEEE, “Modeling of Nonlaminated Electromagnetic Suspension Systems”, IEEE/ASME transactions on mechatronics, vol. 15, no. 1, February (2010). DOI: https://doi.org/10.1109/TMECH.2009.2016656
[6]. Carl R. Knospe, Senior Member, IEEE, and Lei Zhu, “Performance Limitations of Non-Laminated Magnetic Suspension Systems” IEEE transactions on control systems technology, vol. 19, no. 2, March (2011). DOI: https://doi.org/10.1109/TCST.2010.2044179
[7]. Vadim Utkin and Hoon Lee “Chattering Problem in Sliding Mode Control Systems”, Proceedings of the 2006 International Workshop on Variable Structure Systems Alghero, Italy, June 5-7, (2006). DOI: https://doi.org/10.1016/B978-008044613-4.50002-1
[8]. Te-Jen Su1, Tsung-Ying Li1, Tung-Yeh Tsou1,Van-Nam Giap1 and Quang-Dich Nguyen2 “Proportional–integral derivative/fuzzy sliding mode control for suspension of active magnetic bearing system”, Advances in Mechanical Engineering 2017, Vol. 9(12) 1–8. The Author(s) (2017), DOI:10.1177/1687814017736654journals.sagepub.com/home/ade
[9]. Zdzislaw Gosiewski and Mariusz Zokowski “Sliding Mode Control for Active Magnetic Bearings”, See discussions, stats, and author profiles for this publication at: https://www.researchgate.net/publication/319314701.
[10]. Mao, Jing Feng, et al. “Sliding mode control of magnetic bearing system basedon variable rate reaching law”, Key Engineering Materials. Vol.460. Trans Tech Publications Ltd, (2011). DOI: https://doi.org/10.4028/www.scientific.net/KEM.460-461.827
[11]. Tsai, Yao-Wen, and Viet Anh Duong. “Sliding mode control for active magnetic bearings of a flywheel energy storage system”, 2016 IEEE International Conference on Control and Robotics Engineering (ICCRE). IEEE, (2016). DOI: https://doi.org/10.1109/ICCRE.2016.7476050
[12]. Jianpeng Zhong and Lichuan Li “Tuning Fractional-Order PIλDμ Controllers for a
Solid-Core Magnetic Bearing System”, IEEE transactions on control systems technology, vol. 23, no. 4, July (2015).
[13]. B. S. J. K. Hedrick, “Dynamic Surface Control of Uncertain Nonlinear Systems”.
[14]. L. Feng, M. Deng, S. Xu, and D. Huang, “Speed Regulation for PMSM Drives Based on a Novel Sliding Mode Controller” IEEE Access, vol. 8, pp. 63577-63584, (2020), doi:10.1109/ACCESS.2020.2983898. DOI: https://doi.org/10.1109/ACCESS.2020.2983898
