Enhancement of Ride Quality of Quarter Vehicle Model by Using Mixed H2/H with Pole-Placement


The aim of the present work is to illustrate the application of mixed H2/H∞ control theory with Pole-Placement in de- signing controller for semi-active suspension system. It is well known that the ride comfort is improved by reducing vehicle body acceleration generated by road disturbance. In order to study this phenomenon, Two Degrees of Freedom (DOF) in state space vehicle model was built in. However, the role of H is to minimize the disturbance effect on the output while H2 is used to improve the input of controller. Linear Matrix Inequality (LMI) technique is used to calculate the dynamic controller parameters. The simulation results show that the H2 and H techniques can effectively control the vibration of vehicle system where the reduction of suspension working space, dynamic tire load and body acceleration. Moreover, the simulation results show that the (RMS) of suspension working space was reduced by 44.5%, body acceleration and dynamic tire load are reduced by 18.5% and 20% respectively.

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A. Emam and A. Ghany, "Enhancement of Ride Quality of Quarter Vehicle Model by Using Mixed H2/H with Pole-Placement," Engineering, Vol. 4 No. 2, 2012, pp. 126-132. doi: 10.4236/eng.2012.42016.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] A. G. Thompson, “Design of Active Suspensions,” Proceedings of the Institution of Mechanical Engineers, Vol. 185, No. 1, 1970, pp. 553-563. doi:10.1243/PIME_PROC_1970_185_060_02
[2] R. Pitcher, H. Hillel and C. H. Curtis, “Hydraulic Suspensions with Particular Reference to Public Service Vehicles,” Proceeding of Public Service Vehicles Conference, Mechanical Engineering Publications, London, 1977.
[3] D. Hrovat and M. Hubbard, “Optimal Vehicle Suspensions Minimizing rms Rattle Space, Sprung Mass Acceleration and Jerk,” Transactions of the ASME, Vol. 103, 1981, pp. 228-236.
[4] P. G. Wright and D. A. Williams, “The Application of Active Suspension to High Performance Road Vehicles,” Proceedings of IMecE Conference on Microprocessors in Fluid Power Engineering, Mechanical Engineering Pub- lications, London, 1984, pp. 23-28.
[5] R. W. Newcomb, “Linear Multiport Synthesis,” McGraw-Hill, Boston, 1966.
[6] D. A. Crolla and A. M. A. Aboul Nour, “Theoretical Comparisons of Various Active Suspension Systems in Terms of Performance and Power Requirements,” Proceedings of IMecE Conference on Advanced Suspensions, Vol. 1-9, 24-25 October 1988.
[7] R. S. Sharp and S. A. Hassan, “On the Performance Capabilities of Active Automobile Suspension Systems of Li- mited Bandwidth,” Vehicle System Dynamics, Vol. 16, No. 4, 1987, pp. 213-225. doi:10.1080/00423118708968879
[8] P. G. Wright and D. A. Williams, “The Case for an Irre- versible Active Suspension System,” SAE 1987 Transac- tions Journal of Passenger Cars, Vol. 6, 1989, pp. 83-90.
[9] R. A. Williams, A. Best and I. L. Crawford, “Refined Low Frequency Active Suspension,” Inter-national Conference on Vehicle Ride and Handling, Birmingham, November 1993, pp. 285-300.
[10] T. J. Gordon, C. Marsh and M. G. Milsted, “A Comparison of Adaptive LQG and Non-Linear Controllers for Vehicle Suspension Systems,” Vehicle System Dynamics: International Journal of Vehicle, Vol. 20, No. 6, 1991, pp. 321-340. doi:10.1080/00423119108968993
[11] A. Alleyne and J. K. Hedrick, “Non-Linear Adaptive Control of Active Suspensions,” IEEE Transactions on Control Control Systems Technology, Vol. 3, No. 1, 1995, pp. 94-101. doi:10.1109/87.370714
[12] M. B. Gaid, A. Cela and R. Kocik, “Distributed Control of a Car Suspension System,” COSI-EEIEE-Cite Descartes, Noisy-Le-Grand Cedex. http://www.esiee.fr/~kocikr/publis/Eurosim2004.pdf
[13] C. Scherer, P. Gahinet and M. Chilali, “Multi Objective Output Feedback Control via LMI Optimization,” IEEE Transactions on Automatic Control, Vol. 42, No. 7, 1997, pp. 896-911. doi:10.1109/9.599969
[14] V. T. Zanchin and A. S. Bazanella, ‘‘Robust Output Feedback Design with Application to Power Systems,” Proceeding of 42nd IEEE Conference on Decision and Control, Vol. 4, Maui, December 2003, pp. 3870-3875.
[15] P. S. Rao and I. Sen, ‘‘Robust Pole Placement Stabilizer Design Using Linear Matrix Inequalities,” IEEE Transactions on Power Systems, Vol. 15, No. 1, 2000, pp. 313-319. doi:10.1109/59.852138
[16] M. Chilali and P. Gahi-net, “H Design with Pole Placement Constraints: An LMI Approach,” IEEE Transactions on Automatic Control, Vol. 41, No. 3, 1996, pp. 358-367. doi:10.1109/9.486637
[17] A. Rowan, “Application of Elec-tronically Controlled Suspension Systems to Military Vehicles,” MSc. Thesis, Helwan University, Cairo, 2004.
[18] P. Gahinet, A. Nemirovski, A. J. Laub and M. Chiali, “LMI Control Toolbox User’s Guide,” MATHWORKS Inc., Natick, 1995.
[19] A. Bensenouci and A. M. AbdelGhany, “Mixed H?/H2 with Pole-Placement Design of Robust LMI-Based Out- put Feedback Controllers for Multi-Area Load Frequency Con-trol,” The IEEE International Conference on Computer as a Tool, Warsaw, September 9-12 2007.
[20] Y. Nesterov and A. Nemirovskii, “Interior Point Polynomial Algorithms in Con-vex Programming: Theory and Applications,” SIAM Studies Studies in Applied Mathematics, Vol. 13, Philadelphia, 1994. doi:10.1137/1.9781611970791
[21] A. Nemirovskii and P. Gahinet, “The Projective Method for Solving Linear Matrix Inequalities,” Mathematical Programming Series B, Vol. 77, No. 2, 1997, pp. 163-190. doi:10.1016/S0025-5610(96)00085-8

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