الفهرس 
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Abstract
The objectives of this study are to obtain a mathematical model for the passive and active suspensions systems for quarter car model and construct an active suspension control for a quarter car model subject to excitation from a road profile using PID , FUZZY and H∞ controllers.
Current automobile suspension systems using passive components only by utilizing spring and damping coefficient with fixed rates. Vehicle suspensions systems typically rated by its ability to provide good road handling and improve ride comfort. Passive suspensions only offer compromise between these two conflicting criteria. Active suspension poses the ability to reduce the traditional design as a compromise between handling and comfort by directly controlling the suspensions force actuators.
In this study, the active suspension system is synthesized based on PID , Fuzzy Logic and H∞ techniques for a quarter car model. Comparison between passive and active suspensions system are performed by using road profile. The performance of the active suspension system using PID, Fuzzy Logic and H∞ controllers is compared with the passive suspension system. The performance of these controllers will be determined by performing computer simulations using the MATLAB and SIMULINK toolbox.