A Comparative Study of Semi-Active Quarter Car Suspension Control Strategies for Magnetorheological Damper

K. El Majdoub(1*), H. Ouadi(2)

(1) Technical School of Casablanca, Morocco
(2) HASSAN II University of Casablanca, Faculty of Sciences Ain Choc, Morocco
(*) Corresponding author

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This paper addresses the problem of controlling quarter-vehicle semi-active suspension system. Presently, the suspension system involves a magnetorheological (MR) damper featuring hysteretic behavior captured through the Bouc-Wen model. The control objective is to regulate well the chassis vertical position despite the road irregularities. In addition to these irregularities, the difficulty of the control problem lies in the nonlinearity of the system model and the inaccessibility to measurements of the hysteresis internal state variable. The observer provide the online estimates of the hysteresis internal state. The later is performed using Lyapunov control design. Three controllers are developed, such as: the backstepping method, the Skyhook control and the LQR technique. Then each control policy is applied to the model equipped with a MR damper. The performances of each control algorithm are compared with the passive suspension in the time domains through the numerical simulation. The results show that the performance of a MR suspension system is highly dependent on the choice of algorithm employed, and the backstepping strategy exhibits an excellent performance.
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Semi-Active Suspension; MR Damper; Bouc-Wen Model; State Observation; Backstepping Control; Skyhook Control; LQR Control

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N. Yagiz and Y. Hacioglu, Backstepping control of a vehicle with active suspension, Control Engineering Practice, Vol. 16: 1457-1467, 2008.

control of active vehicle suspensions with actuator time delay, Journal of Sound and Vibration, Vol. 301: 236-252 , 2007.(H. Du and N. Zhang, H


control of active vehicle suspensions with actuator time delay, Journal of Sound and Vibration, Vol. 301: 236-252 , 2007.¥H. Du and N. Zhang, H

Y. Kim, R. Langari and S. Hurlebaus, Semi-active nonlinear control of a building with a magnetorheological damper system, Mechanical Systems and Signal Processing, Vol. 23: 300-315, 2009.

G. Z. Yao, F. F. Yap, G. Chen, W. H. Li and S. H. Yeo, MR damper and its application for Semi-active Control of Vehicle Suspension System, Mechatronics, Vol. 12: 963-973, 2002.

T. Butz and O. V. Stryk, Modelling and simulation of electro and magnetorheological fluid damper, Journal of Applied Mathematics and Mechanics, Vol. 82: 3-20 , 2002.

D. Horvat, Survey of advanced suspension developments and related optimal control application, Automatica, Vol. 33: 1781-1817, 1997.

G. Priyandoko, M. Mailah and H. Jamaluddin, Vehicle active suspension system using skyhook adaptive neuro active force control, Mechanical Systems and Signal Processing, Vol. 23(3): 855-868, 2009.

M. Ahmadian and N. Vahdati, Transient dynamics of semi-active suspensions with hybrid control, Journal of Intelligent Materials Systems and Structures, Vol.17(2):145-153, 2006.

control of vehicle suspension with magneto-rheological dampers, Journal of Sound and Vibration, Vol. 283(3-5): 981-996, 2005.(H. Du, K. Y. Sze and J. Lam, Semi-active H


control of vehicle suspension with magneto-rheological dampers, Journal of Sound and Vibration, Vol. 283(3-5): 981-996, 2005.µH. Du, K. Y. Sze and J. Lam, Semi-active H

D. L. Guo, H. Y. Hu and J. Q. Yi, Neural network control for a semi-active vehicle suspension with a magnetorheological damper, Journal of Vibration Control, Vol. 10(3):461-471, 2004.

H. Du, L. James, K. C. Cheung, L. Weihua and N. Zhang, Direct voltage control of MR damper for vehicle suspensions, Journal of Smart and Structure, Vol. 22(10) , 2013.

H. Khalil, Nonlinear systems, (Prentice-Hall, 3rd edition, 2003).

El Majdoub, K., Ouadi, H., Touati, A., LQR control for semi-active quarter vehicle suspension with magnetorhehological damper and bouc-wen model, (2014) International Review on Modelling and Simulations (IREMOS), 7 (4), pp. 703-711.

X. M. Dong, M. Yu, L. Chang-Rong and W. Chen, Comparative research on semi-active control strategies for magnetorheological suspension, Nonlinear Dynamics, Vol. 59: 433-453, 2010.

Amer, N.H., Ramli, R., Mahadi, W.N.L.W., Abidin, M.A.Z., Isa, H.M., Foong, S.M., Implementation of LQR controller on electromagnetic suspension system for passenger's Car, (2014) International Review of Mechanical Engineering (IREME), 8 (1), pp. 258-264.


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