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Robust Finite-Time Controllers for Magnetic Levitation System Via Second Order Sliding Modes


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DOI: https://doi.org/10.15866/ireaco.v10i2.11149

Abstract


This study addresses robust control schemes to solve the control problem of a magnetic levitation system. The aim is to achieve disturbance rejection abilities and high accuracy of closed-loop system. Two finite-time controllers are designed based on the modified super-twisting control and second order terminal sliding mode control schemes. Both control approaches have been studied for the first time in this paper to deal with the control problem of a magnetic levitation system.The proposed controllers are inherently continuous and the chattering is effectively avoided. Using Lyapunov stability analyzes, both controllers can ensure that the trajectories of the closed-loop system converge to a small neighborhood around the equilibrium in a finite time even in the presence of an external disturbance. Numerical simulations illustrate the effectiveness of the presented controllers.
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Keywords


Second Order Sliding Mode Control; Super-Twisting Control; Magnetic Levitation System; Finite-Time Control

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References


H.W. Cho, J.S. Yu, S.M. Jang and et al., Stein, Equivalent magnetic circuit based levitation force computation of controlled permanent magnet levitation system, IEEE Transactions on Magnetics, Vol. 48(Issue 11): 4038-4041, 2012.
http://dx.doi.org/10.1109/tmag.2012.2198800

A. Charara, J.D. Miras and B. Caron, Nonlinear control of a magnetic levitation system without premagnetization, IEEE Transactions on Control System Technology, Vol. 4(Issue 5):513-523, 1996.
http://dx.doi.org/10.1109/87.531918

D.L. Trumper, S.M. Olson and P.K. Subrahmanyan, Linearizing control of magnetic suspension systems, IEEE Transactions on Control Systems Technology, Vol. 5(Issue 4): 427-438, 1997.
http://dx.doi.org/10.1109/87.595924

Y.C. Kim and K.H. Kim, Gain scheduled control of magnetic suspension system ( American control conference,1994,pp. 3127–3131).
http://dx.doi.org/10.1109/acc.1994.735147

K. Davey, New electromagnetic lift control method for magnetic levitation systems and magnetic bearings, IEEE Transactions on Magnetics, Vol. 40(Issue 3): 1617-1624, 2004.
http://dx.doi.org/10.1109/tmag.2004.827189

J.Y. Hung, W. Gao and J.C. Hung, Variable structure control : A survey, IEEE Transactions on Industrial Electronics, Vol. 40: 2-22, 1993.
http://dx.doi.org/10.1109/41.184817

A.S.I. Zinober, Variable structure and Lyapunov control (Berlin:Springer, 1994).
http://dx.doi.org/10.1007/bfb0033675

H.J. Shieh, J.H. Siao and Y.C. Liu, A robust optimal sliding-mode control approach for magnetic levitation systems, Asian Journal of Control, Vol. 12(Issue 4): 480-487, 2010.
http://dx.doi.org/10.1002/asjc.210

F.J. Lin, L.T. Teng and P.H. Shieh, Intelligent sliding-mode control using RBFN for magnetic levitation system, IEEE Transactions on Industrial Electronics, Vol. 54(Issue 3): 1752-1762, 2007.
http://dx.doi.org/10.1109/tie.2007.894710

P.K. Sinha and A.N. Pechev, Model reference adaptive control of a MAGLEV system with stable maximum descent criterion, Automatica, Vol. 35(Issue 8): 1457-1465, 1999.
http://dx.doi.org/10.1016/s0005-1098(99)00040-0

Z.J. Yang, K. Miyazaki, S. Kanae and et al., Robust position control of a magnetic levitation system via dynamic surface control technique, IEEE Transactions on Industrial Electronics, Vol. 51(Issue 1): 26-34, 2004.
http://dx.doi.org/10.1109/tie.2003.822095

N. Boonsatit and C. Pukdeboon, Adaptive Fast Terminal Sliding Mode Control of Magnetic Levitation System, Journal of control, Automation and Electrical Systems, Vol. 27: 359-367, 2016.
http://dx.doi.org/10.1007/s40313-016-0246-2

Benbouzid, M., Beltran, B., Amirat, Y., Breton, S., Sensorless Control of Doubly-Fed Induction Generator-Based Wind Turbines Using a High-Order Sliding Mode Observer, (2014) International Review of Electrical Engineering (IREE), 9 (1), pp. 49-55.

Meo, S., Sorrentino, V., Zohoori, A., Vahedi, A., Second-Order Sliding Mode Control of a Smart Inverter for Renewable Energy System, (2014) International Review of Electrical Engineering (IREE), 9 (6), pp. 1090-1096.
http://dx.doi.org/10.15866/iree.v9i6.5368

Bennassar, A., Abbou, A., Akherraz, M., A New Sensorless Control Design of Induction Motor Based on Backstepping Sliding Mode Approach, (2014) International Review on Modelling and Simulations (IREMOS), 7 (1), pp. 35-42.

El-Jouni, A., Guisser, M., Salhi, M., A Sliding Mode Optimization of a Photovoltaic Pumping System, (2014) International Review on Modelling and Simulations (IREMOS), 7 (3), pp. 466-473.

Shouman, M., El Bayoumi, G., Adaptive Robust Control of Satellite Attitude System, (2015) International Review of Aerospace Engineering (IREASE), 8 (1), pp. 35-42.
http://dx.doi.org/10.15866/irease.v8i1.5322

A. Levant, A. Pridor, R. Gitizadeh, I. Yaesh and J.Z. Ben-Asher, of Guidance, Control and Dynamics, Vol. 23(Issue 4): 586-594, 2000
http://dx.doi.org/10.2514/2.4591

C. Pukdeboon, A.S.I. Zinober and M.W.L. Thein, Quasi-Continuous higher-order sliding mode controllers for spacecraft attitude tracking manoeuvres, IEEE Transactions on Industrial Electronics, Vol. 57(Issue 4): 1436-1444, 2010.
http://dx.doi.org/10.1109/tie.2009.2030215

Y.B. Shtessel, I.A. Shkolnikov and A. Levant, Smooth Second-order sliding modes:missile guidance application, Automatica, Vol. 43(Issue8), 1470-1476, 2007.
http://dx.doi.org/10.1016/j.automatica.2007.01.008

W. Barie and J. Chiasson, Linear and nonlinear state-space controllers for magnetic levitation, International Journal of Systems Science, Vol. 27: 1153-1163, 1996.
http://dx.doi.org/10.1080/00207729608929322

N.F. AL-Muthairi and M. Zribi, Sliding mode control of a magnetic levitation system, (Problem in Engineering,2004,93-107).d.
http://dx.doi.org/10.1155/s1024123x04310033

S. Bhat and D. Berstein, Finite-time stability of continuous autonomous systems, SIAM Journal on Control and Optimization, Vol. 38: 751-766, 2000.
http://dx.doi.org/10.1137/s0363012997321358

X.H. Yu and Z.H. Man, Fast terminal sliding-mode control design for nonlinear dynamical systems, IEEE Circuits and Systems, Vol. 49: 261-264, 2002.
http://dx.doi.org/10.1109/81.983876


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