Body Acceleration (m/Sec2)Dynamic Tire Load (N)Suspension Working Space (m)International Journal Of Computational Engineering Research (<strong>ijcer</strong>online.com) Vol. 2 Issue. 815100.020.01550-50.010.0050-0.005-10-150 1 2 3 4 5 6Simulation Time (Sec)Figure 7. Body acceleration.-0.020 1 2 3 4 5 6Simulation Time (Sec)Simulation results indicate that the proposed of semi- active suspension system proves to be effective in improving ridingcomfort and holding ability as shown from Figures (7-9) which illusterate the comparsion between the two methods of controls.-0.01-0.015HinfmixedH2/HinfFigure 6. Suspension working space.6000400020000-2000-40000 1 2 3 4 5 6Simulation Time (Sec)Figure 8. Dynamic tire load.VI. ConclusionsA qurter car model (2DOF) is devolped in order to investigate the influnce of different control techneques on thesuspension system performance, H ∞ and H 2 /H ∞ . From the simulations results we can clearly see that the sime-active controlledsuspension with both H ∞ and H 2 /H ∞ control techniques offers a much better suspension performances than the passive systemas compared in time domain, and a comparison between the two techniques H ∞ and H 2 /H ∞ was done. It can noted that themixed technique control method is offer a much better perfomance than H ∞ technique.References[1] D. Karnopp, M.J.Crosby, R.A. Harwood, Vibration control using semi- active force generators, ASME Journal ofEngineering for Industry 96 (2)(1974) 619–626.[2] R.S. Sharp, D.A. Corolla, Road vehicle suspension system design-a review, Vehicle System Dynamics 16(3)(1987)167–192.[3] N.A.Jalil,Comparativestudyandanalysisofsemi-activevibration-controlsystems, Journal of Vibration and Acoustics 124(2002)593–605.[4] S.B. Choi, M.-H.Nam,B.- K.Lee, Vibration control of a MR seat damper for commercial vehicles, Journal of IntelligentMaterial Systems and Structures 11 (12)(2000)936–944.[5] M.Ahmadian,C.A.Pare,Aquarter-carexperimentalanalysisofalternativesemiactivecontrolmethods, Journal of IntelligentMaterial Systems and Structures 11 (8)(2000)604–612.[6] H.Li,M.Liu,J.Li,X.Guan,J.Ou,VibrationcontrolofstaycablesoftheShandongBinzhouyellowriverhighwaybridgeusingmagnetorheologicalfluid dampers, Journal of Bridge Engineering 12 (4)(2007)401–409.[7] E.A.Johnson,G.A.Baker,B.F.SpencerJr.,Y.Fujino,Semiactivedampingofstaycables, Journal of Engineering Mechanics133 (1)(2007)1–11.[8] S.J. Dyke, B.F. Spencer-Jr., M.K. Sain, J.D. Carlson, An experimental study of mr dampers for seismic protection, SmartMaterials and Structures 7 (5)(1998) 693–703.[9] Gordon, T. J., Marsh, C., and Milsted, M. G., “A Comparison of Adaptive LQG and Non-linear Controllers for VehicleSuspension Systems,” Veh. Syst. Dyn., 20, 1991, pp. 321–340.[10] Alleyne, A., and Hedrick, J. K., “Non-linear Adaptive Control of Active Suspensions,” IEEE Trans. Control Syst.Technol., 3(1), 1995,pp. 94–101.||Issn <strong>2250</strong>-<strong>3005</strong>(online)|| ||December||2012 Page 179
International Journal Of Computational Engineering Research (<strong>ijcer</strong>online.com) Vol. 2 Issue. 8[11] Ben Gaid, M., Cela, A.,Kocik, R., “Distributed control of a car suspension system,” COSI - ESIEE - Cit´e Descartes,[12] P.M. Anderson and A. A. Fouad, Power System Control and Stability, IEEE Press, 1993.[13] O. I. Elgerd, Electric Energy System Theory, An Introduction, McGraw-Hill, 1982.[14] P.A.W. Walker and O.H. Abdallah, "Discrete Control of an A.C. Turbo generator by Output Feedback," Proceedings ofthe IEE, Control & Science, Vol. 125, No. 9, Oct. 1978, pp. 1031-38[15] T.C. Yang, "Applying H ∞ optimization methods to power system stabilizer design parts 1 &2 ," Int. J. Elect. PowerEnergy Syst., vol. 19,n0. 1,pp.29-43,1997.[16] R. Asgharian, " A robust H ∞ power system stabilizer with no adverse effect on shaft tensional modes," IEEE Trans.Energy Conversion, vol. 9, no. 3, 1994, pp.475-481[17] C. Scherer, P. Gahinet, and M. Chilali, “Multi-objective output-feedback control via LMI optimization,” IEEE Trans.Automat. Contr., vol. 42, pp. 896.911, 1997.[18] A. Bensenouci and A.M. Abdel Ghany, "Mixed H /H 2 with Pole-Placement Design of Robust LMI-Based OutputFeedback Controllers for Multi-Area Load Frequency Control" The IEEE International Conference on Computer as aTool, EUROCON 2007, Warsaw, Poland, September 9-12, 2007.[19] M. Saeed Badran and A. S. Emam " H and Mixed H2/H with Pole-Placement Design Via ILMI Method for Semi-Active Suspension System"[20] Boyd, S., L. El Ghaoui, E. Feron, V.Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory, SIAMbooks, Philadelphia, 1994.[21] R.S. Sharp and S.A. Hassan, "On the performance capabilities of active automobile suspension systems of limitedbandwidth", Vehicle System Dynamics, 16:213–225, 1987.[22] A. Rowan ," Application of Electronically Controlled Suspension Systems to Military Vehicles," M.Sc.Thesis, Facultyof engineering-Mattaria, Helwan University, Cairo, Egypt 2004.[23] A. Bensenouci, and A.M. Abdel Ghany, "Performance Analyses and Comparative Study of LMI-Based IterativePID Load- Frequency Controllers of a Single-Area Power System," WSEAS (World Scientific and EngineeringAcademy and society) on Power Systems Journal, Issue 2, Vol.5, April 2010, pp.85-97.[24] A. M. Abdel Ghany and A. Bensenouci, "Robust Output Feedback Control Design using H ∞ /LMI and SA/Lead-Lag foran ANN-Adaptive Power System Stabilizer," The 15th, Mediterranean Conference on Control and Automation,MED’07, June 27-29, 2007, Athens, Greece[25] M. Chilali and P. Gahinet, “H design with pole placement constraints: An LMI approach,” IEEE Trans. Automat. Contr.,vol. 41, no. 3, March 96, pp. 358–67.[26] A. S. Emam, A.M. Abdel Ghany, Enhancement of Ride Quality of a Quarter Car by Using H ∞ Design of a RobustLMIOutput Feedback Controller.Ain shams journal of mechanical engineering, Vol.2, October,2010, pp.35-43.||Issn <strong>2250</strong>-<strong>3005</strong>(online)|| ||December||2012 Page 180
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