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For homogeneous charge compression ignition (HCCI) combustion,the auto-ignition process is very sensitive to in-cylinder conditious,including in-cylinder temperature,in-cylinder components and concentrations.Therefore,accurate control is required for reliable and efficient HCCI combustion.This paper outlines a simplified gasoline-fueled HCCI engine model implemented in Simulink environment.The model is able to run in real-time and with fixed simulation steps with the aim of cycle-to-cycle control and hardwarein-the-loop simulation.With the aim of controlling the desired amount of the trapped exhaust gas recirculation (EGR) from the previous cycle,the phase of the intake and exhaust valves and the respective profiles are designed to vary in this model.The model is able to anticipate the auto-ignition timing and the in-cylinder pressure and temperature.The validation has been conducted using a comparison of the experimental results on Ricardo Hydro engine published in a research by Tianjin University and a JAGUAR V6 HCCI test engine at the University of Birmingham.The comparison shows the typical HCCI combustion and a fair agreement between the simulation and experimental results.