Aiming at the problems of unsynchronized power source response and decreased vehicle smoothness during mode transition of hybrid electric vehicles,a coordination control strategy oriented to the mode transition process is proposed.Taking the switching process from pure electric driving mode to hybrid driving mode as the research object,the mode transition process is divided ac-cording to the clutch state.In the clutch slip phase,the ordinary differential equations of the vehicle dynamics is constructed by sliding mode control based on the group-preserving algorithm,and the Runge-Kutta method is introduced to solve the equations to obtain the control quantities of the power system.After the clutch engaged,an online observer of the engine torque is constructed by least squares support vector machine,and the parameters of the least squares support vector machine are optimized by distribution estimation algorithm,and the observed engine torque is used as the feed-back quantity to realize the closed-loop control of the vehicle driving torque.A vehicle dynamics simu-lation model is built in MATLAB/Simulink and simulation verification is carried out,and the results show that the proposed control strategy can realize the coordinated control between the two power sources,which improves the smoothness and reliability of the vehicle under the premise of satisfying the torque demand of the driver.