A method and apparatus for creating a generalized response model for a sheet forming machine are provided. Sheet property profiles are measured while the setpoint of an actuator is changed. A response (or change) profile of the sheet property resulting from a setpoint change is calculated. A finite set of critical points are selected from the property response profile. Using the selected critical points, the property response profile is classified in one of a finite number of response types. Under each of the response types, the property response profile is fitted with a plurality of continuous functions associated therewith. These continuous functions are combined to form the response model that minimizes the deviation between the property response and the fitted combination of continuous functions.