Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Robust Position Tracking of Magnetic Suspension System Using the Sliding Mode Controller based on Inertial Delay Control

Authors
1 Faculty of Electrical, Biomedical and Mechatronics Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran
2 Department of Electrical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran
Abstract
Magnetic suspension system as an appropriate mechanism for non-touch maintaining the objects through magnetic force has become very important in many applications. Due to their instability and high nonlinearity, such systems pose a challenge to many researchers attempting to design high-performance and robust tracking control. This paper proposes a sliding mode control strategy for a nonlinear magnetic suspension system with one degree-of-freedom. In conventional sliding mode control systems, insensitivity to uncertain parameters and external disturbances is achieved when the bounds of the uncertainty and disturbance are known. In this regard, the proposed control structure is the inertial delay control being concentratedly estimated the uncertainties of the system and unknown disturbances. The main purpose of this
paper is to implement the robust output tracking through centralized uncertainty and its estimation in which, by considering the suspension system coil current as the control input, the position of the suspended object is maintained and the estimation error tends to zero. Simulation results indicate the designed controller on the magnetic suspension system has a good performance compared to the other methods. In addition, the proposed method is effective and the output robust tracking, as well as the estimation of system uncertainties, are realized.
Keywords

Subjects


[1] Feng, S., "Magnetic Suspension Systems using Permanent Magnet", Ph.D. Thesis,
Department of Intelligent Mechanical Engineering, Graduate School of Engineering Kochi
University of Technology, Kochi, Japan, (2010).
[2] Rahgoshay, M.A., Binazadeh, T., and Shafiei, M.H., "Robust Output Tracking of Nonaffine
Magnetic Suspension System", 3rd International Conference on Control, Instrumentation,
and Automation, ICCIA 2013, Tehran, Iran, pp. 307-310, (2013).
[3] Khimani, D., and Rokade, R., "Implementation of Sliding Mode Control on Magnetic
Levitation System", in Advances in Computing, Communication and Control (ICAC3),
IEEE International Conference, Mumbai, India, pp. 1-5, (2017).
[4] Banza, A.T., and Chen, Q., "Decentralized Second-order Sliding Mode Control Design for
a Small-scale Magnetic Levitation Platform", in 11th IEEE Asian Control Conference
(ASCC), Gold Coast, QLD, Australia, pp. 549-554, (2017).
[5] Wang, H., Ge, X., and Liu, Y.C., "Second-order Sliding-mode MRAS Observer Based
Sensorless Vector Control of Linear Induction Motor Drives for Medium-low Speed
Maglev Applications", IEEE Transactions on Industrial Electronics, Vol. 65, No. 12, pp.
9938-9952, (2018).
[6] kuo, C.L., Li, T.H.S., and Gue, N.R., "Design of a Novel Fuzzy Sliding-mode Control for
Magnetic Ball Levitation System", Journal of Intelligent Robotic System, Vol. 42, No. 3,
pp. 295-316, (2005).
[7] Gutierrez, H.M., and Ro, P.I., "Magnetic Servo Levitation by Sliding-mode Control of
Nonaffine Systems with Algebraic Input Invertibility", IEEE Transactions on Industrial
Electronics, Vol. 52, No. 5, pp. 1449-1455, (2005).
[8] Bojan-Dragos, C.A., Precup, R.E., Tomescu, M.L., Preitl, S., Tanasoiu, O.M., and Hergane,
S., "Proportional-integral-derivative Gain-scheduling Control of a Magnetic Levitation
System", International Journal of Computers, Communications & Control, Vol. 12, No. 5,
pp. 599-611, (2017).
[9] Tepljakov, A., Alagoz, B.B., Gonzalez, E., Petlenkov, E., and Yeroglu, C., "Model
Reference Adaptive Control Scheme for Retuning Method-based Fractional-order PID
Control with Disturbance Rejection Applied to Closed-loop Control of a Magnetic
Levitation System", Journal of Circuits, Systems and Computers, Vol. 27, No. 11, pp.
1850176/1-29, (2018).
[10] Sadek, U., Sarjaš, A., Chowdhury, A., and Svečko, R., "Improved Adaptive Fuzzy
Backstepping Control of a Magnetic Levitation System Based on Symbiotic Organism
Search", Applied Soft Computing, Vol. 56, pp. 19-33, (2017).
[11] Al-Samarraie, S.A., Midhat, B.F., and Al-Deen, R.A.B., "Adaptive Sliding Mode Control
for Magnetic Levitation System", Al-Nahrain Journal for Engineering Sciences, Vol. 21,
No. 2, pp. 266-274, (2018).
[12] Xu, J., Sun, Y., Gao, D., Ma, W., Luo, S., and Qian, Q., "Dynamic Modeling and Adaptive
Sliding Mode Control for a Maglev Train System Based on a Magnetic Flux
Observer", IEEE Access, Vol. 6, pp. 31571-31579, (2018).
[13] Verma, R., Ginoya, D., Shendge, P.D., and Phadke, S.B., "Slip Regulation for Anti-lock
Braking Systems using Multiple Surface Sliding Controller Combined with Inertial Delay
Control", Vehicle System Dynamics, Vol. 53, No. 8, pp. 1150-1171, (2015).
[14] Suryawanshi, P.V., Shendge, P.D., and Phadke, S.B., "Robust Sliding Mode Control for a
Class of Nonlinear Systems using Inertial Delay Control", Nonlinear Dynamics, Vol. 78,
No. 3, pp. 1921-1932, (2014).
[15] Choudhary, M.M., Nerkar, P.P., Shendge, P.D., and Phadke, S.B., "Decentralized Sliding
Mode Control for Perturbed Nonlinear Large Scale Systemswith Variable Time Delay in
Interconnections Based on Inertial Delay Control", 3rd International Conferenceon
Electronics Computer Tecnology, ICECT 2011, Kanyakumari, Tamil Nadu, India, pp.
197-201, (2011).
[16] Suryawanshi, P.V., Shendge, P.D., and Phadke, S.B., "Robust Sliding Mode Control for a
Class of Nonlinear System using Inertial Delay Control Nonlinear Dynamic", Springer
Netherlands, Vol. 78, No. 3, pp. 1921-1932, (2014).
[17] Trumper, D.L., Olson, S.M., and Subrahmanyan, P.K., "Linearizing Control of Magnetic
Suspension System", IEEE Transaction on Control System Technology, Vol. 5, No. 4, pp.
427-438, (1997).
[18] Chang, P.H., and Lee, J.W., "An Observer Design for Time-delay Control and Its
Application to DC Servo Motor", Control Eng. Pract. Vol. 2, No. 2, pp. 263-270, (1994).
19] حسنلو، مجتبی، باقری، احمد.، "کنترل هوشمند تیرتیموشنکو با استفاده از الگوریتم بهینه‌سازی چندهدفه ازدحام ذرات و کنترلرPID مطابق با نگرش جایابی بهینه وصله‌های محرک پیزوالکتریک"، نشریه پژوهشی مهندسی مکانیک ایران، شماره 20(3)، ص­ 6-28، (1397).
[20] Samani, R., and Khodadadi, H., "A Particle Swarm Optimization Approach for Sliding
Mode Control of Electromechanical Valve Actuator in Camless Internal Combustion
Engines", In 2017 IEEE International Conference on Environment and Electrical
Engineering and 2017 IEEE Industrial and Commercial Power Systems Europe
(EEEIC/I&CPS Europe), Milan, Italy, pp. 1-4, (2017).
[21] Ackermann, J., and Utkin, V., "Sliding Mode Control Design Based on Ackermann’s
Formula", IEEE Trans. Autom. Control, Vol. 43, No. 2, pp. 234-237, (1998).
[22] Zhong, Q.C., and Rees, D., "Control of Uncertain LTI Systems Based on an Uncertainty
and Disturbance Estimator", ASME J. Dyn. Syst. Meas. Control, Vol. 126, No. 4, pp. 905-
910, (2004).

  • Receive Date 06 July 2019
  • Revise Date 12 August 2019
  • Accept Date 24 October 2020