Use of torque model at virtual engine conditions

A torque estimation system for a vehicle, comprising:

• an estimation control module that selectively outputs a first engine speed and a second engine speed;
• an operating parameter module that determines a first set of M estimated engine operating parameters based on the first engine speed and that determines a second set of the M estimated engine operating parameters based on the second engine speed, wherein M is an integer greater than one;
• a torque estimation module that estimates a first set of M engine torques based on the first set of M estimated engine operating parameters, respectively, and the first engine speed and that estimates a second set of M engine torques based on the second set of M estimated engine operating parameters, respectively, and the second engine speed;
• and
• a hybrid control module that controls an electric motor of the vehicle based upon the first and second sets of M engine torques.