Comparison between Bang-Bang, PID and LQR Controller for Electrical Discharge Machining Process

Abstract

During the Electric Discharge Machining process, ensuring that there is the appropriate amount of spark gap between the tool and the workpiece is one of the most important factors in determining how well the machine will perform. With the assistance of Simulink models, this work will compare the effects of a Bang-Bang Controller, a Proportional-Integral-Derivative (PID) Controller, and a Linear Quadratic Regulator (LQR) Controller on a dynamic EDM process. Through the use of simulation, it was possible to observe the effectiveness of each controller in correctly maintaining the spark gap distance. This effectiveness was then used to determine the approximate values by which the controller could be implemented on the physical EDM setup. In light of the fact that the EDM is a model of a non-linear process, it has been established beyond a reasonable doubt that LQR is the controller of choice for this process. The various controllers for the EDM Process Model were compared, and supporting graphs are provided to strengthen the claims made in the article.