Drilling induced damage in polymer–matrix composites (PMCs) is a research area of immense engineering importance. Various approaches have been tried worldwide to minimize drilling induced damage. In this study, a review of automated drilling operation has been done. Various mathematical modeling methods used for dynamic phenomenon of drilling in PMCs and conventional materials have been discussed. Drilling of fiber reinforced plastic composites can be modeled using empirical techniques, neural network/fuzzy-logic and transfer function modeling methods. This paper brings state-of-the-art in the control of drilling process. The drilling of fiber reinforced plastic composites can be controlled using neural network, fuzzy logic, supervisory, PI, PID, pole placement and adaptive controllers. Results indicate that thrust force and torque have not been controlled simultaneously for delamination free drilling in PMCs. Critical thrust force has also not been precisely tracked. There is a need to create a combined mathematical model consisting of thrust force, torque and feed rate coupled with a suitable control law for simultaneous control of thrust force as well as torque for delamination free drilling of composites.