fuzzy controller for quarter car model

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    Seminar-I onFuzzy Control for a Quarter Car Model

    for an Active Suspension System

    By

    Amita Deshmukh

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    Contents

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    1. Objective

    2. Introduction

    3. One quarter car model

    4. Fuzzy logic controller5. Design of FLC for the suspension system

    6. Simulink model of suspension system using FLC

    7.

    Performance of FLC for suspension control

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    Objective

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    To review the work done in the area of adaptive

    control methods to improve properties of vehicle

    suspension system. To study effectiveness andconvenience offuzzy logic controllermethod for

    suspension control.

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    1. Introduction

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    Vehicle suspension system

    1. Primary suspension system

    2. Active suspension system

    3. Semi active suspension system

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    Literature review

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    Publication Title Author Objective Conclusion

    InternationalJournal ofAerospace andMechanicalEngineering 4:4201

    Fuzzy Control ofa Quarter-CarSuspensionSystem

    M. M. M. Salem,and Ayman A.Aly

    The paperdescribes themodel andcontroller used inthe vehicle andresponse results

    obtained from arange of roadinput simulations

    The results of theactive suspensionsystem based onthe fuzzy logiccontroller showthe improved

    stability of theone-quarter-carmodel.

    InternationalJournal of

    Engineering andApplied Sciences(IJEAS) Vol.2,Issue 4(2010)27-37

    ActiveSuspension Of

    Cars Using FuzzyLogic ControllerOptimized ByGeneticAlgorithm

    R. K. Pekgkgz,M. A. Grel, M.

    Bilgehan, M.Ksa

    To study if thefuzzy method can

    be used for theactive control ofcar suspensionsystems.

    A FLC for theactive suspension

    of cars has beenstudied. It showsa betterperformance

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    2. One quartet car model

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    Parameters of an active suspension system

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    1 = 1 1 2 1 1 2 +u (1)

    2 = 1 1 2 + 1 1 2 + 1 2 +

    1 1 2 (2)

    Parameters Amount (Body mass or sprung mass) 2500 Kg (Suspension mass unsprung mass) 320 Kg1 (Suspension spring constant) 80000 N/m2 (tyre stiffness) 5000000 N/m1 (Damping constant of suspension) 350 N/m2 (Damping constant of suspension) 12050 N/m

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    4. Fuzzy Logic Controller

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    5. Design of FLC for the suspension system

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    NV: Negative Very Big PS: Positive Small NB: Negative Big PM: Positive Medium NM: Negative Medium PB: Positive Big NS: Negative Small PV: Positive Very Big ZE: Zero

    R1: IF ( 1 2 = PM) AND ( 1 = PM) AND ( 1 = ZE)THEN (u = ZE)

    R2: IF ( 1 2 = PS) AND ( 1 = PM) AND ( 1 = ZE)THEN (u = NS)

    .. R75: IF ( 1 2 = NM) AND ( 1 = NM) AND ( 1 = P)

    THEN (u = PS)

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    6. Simulink model of suspension system using FLC

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    7. Performance of FLC for suspension control

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    Suspension controller responses with

    sinusoidal input

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    sine wave input disturbance with amplitude of 1(cm) andfrequency of 1 Hz is used.

    While the sinusoidal input is applied to the suspensionsystem, fuzzy controller eliminates 75% of the

    disturbances during first 4 sec. and about 90% for the restperiod.

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    Suspension controller responses with

    square-wave input

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    square wave input disturbance with amplitude of 1 (cm)and frequency of 1 Hz is used

    In the case of square wave disturbances, average 50%disturbances were rejected from the system during whole

    period.

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    Suspension controller responses with saw

    tooth wave input

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    saw tooth input disturbance with output values [0 2](disturbance changing from 0 to 1) and frequency of 0.5Hz is used

    For the saw-tooth wave disturbances, 15-20%

    disturbances are present during all over the period.

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    Suspension controller responses with

    random number input

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    random number input disturbance with variance of 1,mean value of 0, initial speed of 0 and sampling time 0 isused.

    For random disturbances, fuzzy controller is able to

    eliminate the disturbances entirely.

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    Summary

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    From the results it can be seen that FLC model is effectivefor an active suspension system. By changing its sign onlyfor once and decreasing gradually, FLC conveys thesystem to a stable condition in an effective manner. It has

    been shown that the fuzzy-logic controller displays betterperformance for the minimization of the maximum bodydeflection.

    Since the road model is almost irregular therefore different

    type disturbances are applied to the system. Fuzzy logiccontroller was applied to car suspension system withdifferent type disturbances. Where FLC shows asatisfactory performance.

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    References

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    M. M. M. Salem, and Ayman A. Aly, International Journal of Aerospace and Mechanical

    Engineering 4:4 2010 R. K. Pekgkgz, M. A. Grel, M. Bilgehan, M. Ksa International Journal of Engineering and

    Applied Sciences (IJEAS) Vol.2, Issue 4(2010)27-37

    V. Sankaranarayanan, M. Engin Emekli, Bilin Aksun Guvenc, Levent Guvenc,E.SerdarOzturk, S. Server Ersolmaz, I. Erhan Eyol, and Mustafa Sinal IEEE/ASME transactions onmechatronics, vol. 13, no. 5, october 2008

    Jiangtao Cao Member, IEEE, Ping Li Senior Member, IEEE and Honghai Liu Senior Member,

    IEEE Proceedings of the 44th IEEE Conference on Decision and Control, and the EuropeanControl Conference 2005 Seville, Spain, December 12-15, 2005

    A. Aldair and W. J. Wang, 2010 1st International Conference on Energy, Power and Control(EPC-IQ), College of Engineering, University of Basrah, Basrah, Iraq, November 30 -December 2, 2010

    L Emir Sakman, Rahmi Guclu And Nurkan Yagiz, Sadhan a Vol. 30, Part 5, October 2005,pp. 649659. Printed in India

    Jun Wang, David A. Wilson, Wenli Xu, David A. Crolla

    Dae Sung Joo, and Nizar Al-Holou, Ph.D. Department of Electrical Engineering University ofDetroit-Mercy, Detroit, MI 48219

    Web sites:

    www.intechopen.com

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