Abstract: Energy management strategies are important for hybrid electric vehicles to improve fuel economy． In or- der to improve the fuel economy of power split hybrid vehicles and the real-time performance of energy management strategies，an energy management strategy based on explicit stochastic model predictive control was designed． Firstly，the Markov chain was used to predict the vehicle speed． Then by simplifying the control model and trans- forming the nonlinear energy management problem into a linear quadratic optimization problem，a stochastic model prediction strategy (SMPC) with the minimum energy consumption in the prediction domain was established． Sec- ondly，the explicit stochastic model prediction strategy is obtained by solving the problem parametrically，and this strategy not only maintained the advantages of the stochastic model predictive control method，but also improved the calculation speed． Finally，the simulation is carried out under multiple working conditions to verify the effec- tiveness of the proposed energy management strategy． The simulation results show that fuel economy can be in- creased by up to 28. 64% compared to rule-based control strategies，and the average calculation time in the simu- lation is 3. 1ms，which indicate that the strategy has real-time computing potential．

Key words: hybrid electric vehicle, Markov chain, stochastic model predictive control, explicit stochastic model predictive control, energy management strategy, fuel economy