Method and apparatus to control engine restart for a hybrid powertrain system

There is provided a control scheme for restarting an internal combustion engine of a hybrid powertrain during ongoing vehicle operation. The method includes generating a torque output from an electrical machine to rotate the engine, and determining an engine crank torque. The torque output from the electrical machine is selectively controlled based upon the engine crank torque. The engine is fired when rotational speed of the engine exceeds a threshold. An engine torque simulation model accurately determines engine compression pressures in real-time to accommodate changes in engine operating conditions, based upon present engine operating conditions.