Abstract: A two-input and two-output physical model for pressures and combustion phases was built to realize
the coordinated control of the peak pressures and combustion phases for a homogeneous charge compression
ignition (HCCI) engine. This model is based on the Shaver' residual-affected HCCI engine model with the
constant wall temperature heat transfer model suitable for HCCI combustion. A cooperative control system of
pressure and combustion phase was designed using the model predictive control (MPC) theory with the variable
valve timing (VVT) as the control method. The coordinated simulation experiment was done by using GT-Power
and Matlab/Simulink. The results show that the control model satisfies the engine control demand, realizes the
collaborative control of the pressure and combustion phase with control accuracies of ±30 kPa and ±0.6° CA，
and the response time of 6-7 engine cycles.

Key words: vehicle engines, homogeneous charge compression ignition (HCCI), variable valve timing (VVT),
physical modeling, model predictive control (MPC), coordinated simulation