DC Motor Performance Optimization with Linear Quadratic Regulator (LQR) and Linear Quadratic Tracking (LQT) Methods

Abstract

DC motors, also known as direct current motors, are electronic devices that are commonly used in a variety of contexts, both in industrial environments and in everyday life. To ensure optimal performance of DC motors, efficient control is required. To achieve this goal, signal optimization on DC motors is carried out through the application of the Linear Quadratic Regulator (LQR) and Linear Quadratic Tracking (LQT) methods in the control system. This study aims to analyze and compare various technical responses that have been simulated through the application of control systems. LQR and LQT were chosen as methods because they are both able to reach the optimal point and reduce errors in the device, so that the performance of the device can be adjusted to the user's preferences and produce efficient output. The object of this research is a DC motor that has a data sheet available. The advantages of DC motors include having no losses in the reactive power generated, generating considerable torque, easy to control linearly, and the ability of the controller to reduce delay time, rise time, time to reach a steady state, as well as the magnitude of surges and faults in the system. By using the DC motor data sheet, a transfer function can be built that produces the order 1 and order 2 models as the basis for implementing the four control system applications. Data collection is carried out through direct research and observation to observe the results of experiments. The results of the study are explained through narratives, tables, and diagrams.