Design and Simulation of LQR Output Feedback Controller for DC Motor Speed Regulation

This paper focuses on the design and simulation of an LQR output feedback controller for DC motor speed regulation. In practical applications, DC motors are widely used in mechanical, power, and transportation systems, making their stability and performance crucial. The study explores LQR controller design through mathematical modeling of motor dynamics and implementation using control system toolboxes, typically involving state-space representation and Riccati equation solutions. The simulation phase employs MATLAB/Simulink environments to validate controller performance under various load conditions, with key functions including lqr() for gain calculation and ode solvers for dynamic response analysis. The discussion covers the controller's working principle based on optimal control theory, while also addressing practical limitations such as sensor noise sensitivity and computational requirements. Potential optimization directions include adaptive LQR implementations and real-time gain scheduling algorithms to enhance robustness against parameter variations. This research provides valuable references for designing and optimizing DC motor control systems in industrial applications.