Abstract: Based on analyzing the torque's transfer behavior of limited-slip differential,the dynamic equations of rear wheel driving vehicles and limited-slip differential are established.The control logic is designed by using the relative slip rate of the driving wheel and change rate of the angular velocity difference as the threshold.The controller is designed by using Simulink/Stateflow.Simulation of acceleration course on split-μ roads was carried out.Resultsshow that the control system can sufficiently utilize the higher attachment coefficient's adhesive power and effectively inhibit the speed difference of the driving wheels.The acceleration ability is improved.