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The vehicle dynamics gives lot of consideration to quality of ride and the value of comfort. These two are dependent on the suspension system of the vehicle. Researchers are doing a lot of work in the field of improving these two parameters. A lot of approaches and control systems like ANN, GA based system, fuzzy and hybrid control systems have been formulated, simulated and tested. This paper deals with mathematical modeling and simulation of passive and semi active system. The semi activedoi:10.1088/1742-6596/1240/1/012017 fatcat:erwkcmc3ebddhhqjf5cibajjoa