This paper describes the mathematical modelling and simulation of a PC-based computer numerically controlled (CNC) drilling machine worktable. The mathematical model includes: (a) a model of the stepper motor driver board, (b) a model of the hybrid stepper motor and load combination, (c) a model of angular to linear movement conversion and (d) the interconnection of all three models to form the complete model of the X or Y axis drive. The model is designed to be simulated by Simulink®, a standard simulation package. The simulation of the mathematical model for the X axis drive is then described, as well as the tests carried out to validate the model. The test results from the simulation and the machine show some agreement.
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