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This paper presents a fuzzy logic based control strategy development for a parallel hybrid electric vehicle. A hybrid electric vehicle (HEV) has the internal combustion engine (ICE) with at least an additional electric motor (EM) for the traction of the vehicle system. A Matlab model of a parallel HEV which has been developed to simulate the fuzzy control algorithm will be mentioned as well with the simulation results. The control algorithm is based on power distribution between the ICE and the EM in an efficient way, to control the charging and discharging of the batteries, to optimize the ICE and EM working states according to the driver's requests and road conditions.