International Journal of Modern Education and Computer Science (IJMECS)

ISSN: 2075-0161 (Print), ISSN: 2075-017X (Online)

Published By: MECS Press

IJMECS Vol.11, No.2, Feb. 2019

Genetic Algorithm Control of Model Reduction Passive Quarter Car Suspension System

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Nasir Ahmed Al-awad

Index Terms

Passive Quarter Car;(PID) Controller;(LQR);(FLC);H2 Controller;(GA) Controller;Matlab/Simulink;Display


This paper portrays the demonstrating, and testing of passive suspension control techniques. The control execution of a two-degree of-opportunity quarter car passive suspension frameworks is explored utilizing Matlab/Simulink, display. A classical Proportional Integral and Derivative (PID), Linear Quadratic Control (LQR), and H2 controller design are proposed and compared with soft computing methods, such Fuzzy logic controller (FLC) and Genetic Algorithm (GA) controller. Simulation environment was used for all design methods, investigation of the effects of the control techniques in time-domain design specifications, their comparison and verification of the results obtained. The results are shows the effectiveness of the (GA) controller to satisfied design requirements compared with others methods.

Cite This Paper

Nasir Ahmed Al-awad, "Genetic Algorithm Control of Model Reduction Passive Quarter Car Suspension System", International Journal of Modern Education and Computer Science(IJMECS), Vol.11, No.2, pp. 9-16, 2019.DOI: 10.5815/ijmecs.2019.02.02


[1]Dowds P. & Dwyer A. O., Modelling and Control of a Suspension System for Vehicle Applications, Dublin Institute of Technology. School of Electrical and Electronic Engineering, Vol.3, No.45, 2005.

[2]Wei G. & Nong Z., Dynamic Analysis of Vehicles with uncertain arameters,ICSV, 9-12 July, Vol. 7, Issue 2, 2007.

[3]Abd El-Nasser S. A. & Ahmed S. A., PID controller of active suspension system for a Quarter car model, International Journal of Advances in Engineering & Technology, Dec., Vol.45, No.6,  2015.

[4]Senthilkumar M., PID Controller -Based Active Suspension System for Automobiles, PID Controller Design Approaches-Theory, Tuning and Application to Frontier Areas,InTech,March, Vol.3, Issue 8, 2012.

[5]Goegoes D. N. & Gigih P.,PID State feedback Controller of a Quarter Car Active Suspension System, Journal of Basic and Applied Scientific Research Vol. 1, No. 11, 2011.

[6]Yahaya M. S., & Ghani M. R. A., LQR Controller for Active Car Suspension, Proc. On TENCON, Malaysia, Vol. 2, Issue 8, 2000.

[7]Abdolvahab A., Simulation and Analysis of Passive and Active Suspension System Using Quarter Car Model for Different Road Profile, International Journal of Engineering Trends and Technology, Vol. 3, No., 5, 2012.

[8]Elbab H., Allam E., Hady M. & Abouel-Seoud S., Performance of Active Suspension with Fuzzy Control, SAE Technical Paper Vol. 1, No. 2, 2009.

[9]Changizi N., Rouhani M., & Sheiie N., Using fuzzy logic to control one quarter-car suspension system, International Conference on Computer, Mechatronics, Control and Electronic Engineering, Vol. 9, No.1, 2010.

[10]Elnaz A. & Morteza F., Observer Design for Active Suspension System U sing Sliding Mode Control , Proceedings of  IEEE Student Conference on Research and Development Putrajaya, Malaysia, Vol. 11, No. 4, 2010.

[11]Sam Y. M. & Osman J. H. S., Proportional-Integral Sliding Mode Control of a Quarter Car Active Suspension, Proc. IEEE TECO, Vol. 9. No.2, 2002.

[12]Shirdel H., Gatavi E. & Hashemiyan Z.. Comparison of H∞ and Optimized-LQR Controller in Active Suspension System, Second Int. Conf. Comput.Intell. Model. Simul.,Vol. 2, Issue 6, Sep., 2010.

[13]Du H. & Zhang N. ,H∞ control of active vehicle suspensions with actuator time delay. J Sound Vib, Vol.13, No.5, 2007. 

[14]Krauze P. & Kasprzyk J., Neural Network Based LQ Control of a Semiactive  Quarter-Car Model, IEEE proceeding 8th Int. Conf. Methods Model. Autom. Robot., Vol.16, Issue 2, 2013.

[15]Al-Holou N., Lahdhiri T., Joo D., Weaver J. & Al-Abbas F., Sliding mode neural network inference fuzzy logic control for active suspension systems, IEEE Trans. Fuzzy Syst., Vol. 10, No. 2, Apr., 2002. 

[16]Leite J. S. & Peres L. D., Robust pole location for an active suspension quarter-car mo del through parameter dependent control, Proc. IEEE lntemational Conf. Control, Vol. 13, Issue 7,  Appl., 2002.

[17]Chen C. & Huang A. C., daptive sliding control of non-autonomous active suspension systems with time-varying loadings, J Sound VibVol. 3, No.5, 2005. 

[18]Feng Z. & Mingming D., Adaptive Neural-Sliding Mode Control of Active Suspension System for Camera Stabilization, Shock and Vibration, vol.18, No.4, 2015.

[19]Marzbanrad J., Ahmadi G., Hojjat Y. & Zohoor H., Optimal active control of vehicle suspension systems including time delay and preview for rough roads, Journal of Vibration and Control, Vol. 8, No. 9, 2002.

[20]Marzbanrad J., Hojjat Y., Zohoor H. & Nikravesh S. K., Optimal preview control design of an active suspension based on a full car model, Scientia Iranica, Vol.10, Issue 7, 2003.

[21]Savo D. Andrija T,Dynamic, Model Reduction: An verview of Available Techniques with Application to Power Systems,Serbian Journal of Electrical Engineering ,Vol. 9, No. 2, June 2012. 

[22]A.C.Antoulas, Lihong Feng., Model Reduction by Iterative Error System Approximation, Mathematical and Computer Modelling of Dynamical Systems, Vol. 24, No. 2, 2018. 

[23]Zhi, Yong Qiu, Yao Lin Jiang, Interpolatory Model Order Reduction Method for Second Order Systems, Asian Journal of Control, Vol. 20, Issue 1, June 2017. 

[24]Yakubu G.1, Adisa A. B., Simulation and Analysis of Active Damping System for Vibration Control, American Journal of Engineering Research, Vo. 6, Issue 11, 2017.

[25]Prabhakar S. & Arunachalam K., Simulation and analysis of passive suspension system for different road profiles with variable damping and stiffness parameters, Journal of Chemical and Pharmaceutical Sciences, Special, Vol. 3,  Issue 7, 2015.

[26]Galal A. H., Car Dynamics using Quarter Model and Passive Suspension, Part VI: Sprung-mass Step Response, IOSR Journal of Computer Engineering (IOSR-JCE), Vol.17, Issue 2, Ver. 1, Mar – Apr. 2015.

[27]Gene F. F., J. David P. & Abbas E. N., Feedback Control of Dynamic Systems, 7th Edition, Pearson company, 2015.

[28]Mert B. ̧& tug M. P., Model Reduction by Moment Matching for Linear Switched Systems, IEEE Transactions on Automatic Control, Vol.4, No.8, 2014.

[29]K. Dhananjay Rao , Modeling and Simulation of Quarter Car Semi Active Suspension System Using LQR Controller, Proceedings of the 3rd International Conference on Frontiers of Intelligent Computing: Theory and Applications (FICTA) , Vol. 5, Issue 2, 2014.

[30]A.lireza Rezaee,, Mazyar Pajohesh, Suspension System Control with Fuzzy Logic , Journal of Communications Technology, Electronics and Computer Science, Vol. 3, Issue 6, 2016.

[31]Ahmed S Ali, Gamal A.Jaber, Nouby M Ghazaly, H∞ Control of Active Suspension System for a Quarter Car Model, International Journal of Vehicle Structures and Systems Vol.8, No.1, 2016.  

[32]L.C.Félix-Herrán, R.A.Ramírez-Mendoza, H2 control of a one-quarter semi-active ground vehicle suspension, Journal of Applied Research and Technology, Vol. 14, Issue 3, June pp.173-183,2016.

[33]Joshi G., Review of Genetic Algorithm: An Optimization Technique, International Journal of Advanced Research in Computer Science and Software Engineering, Vol. 4, No. 4, April, 2014.

[34]Jyoti O., Naveen K., An Improved Genetic Algorithm for PID Parameter Tuning, Recent Advances in Electrical and Computer Engineering, Vol. 8, Issue 9, 2017.

[35]Jin L., Yongjun S. and Shaopu Y., Parmeters, Optimization Of Passive Vehicle Suspension Based On Invariant Points Theory, International .Journal .on smart sensing and intelligent systems, Vol.6, No. 5, 2013.