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Journal : Sainstech Nusantara

Optimization Control in MG-16 DC Motor Using LQR and LQT Configurations Nugraha, Anggara Trisna; Muhammad Bilhaq Ashlah; Rama Arya Sobhita; Dhadys Ayu Juli Anjhani
SAINSTECH NUSANTARA Vol. 2 No. 3 (2025): August 2025
Publisher : Nusantara Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.71225/jstn.v2i3.105

Abstract

DC motors are widely used electronic components commonly found in everyday applications. Typically, when a load is applied, a DC motor tends to decelerate and fails to maintain a constant speed. To address this, motor speed can be controlled by adjusting the input voltage. However, to maintain consistent speed under varying loads, a control system is necessary. LQR works by adjusting the motor response to closely approach the desired setpoint, while minimizing both overshoot and undershoot within the system. On the other hand, LQT is a linear control strategy designed to ensure that the system output closely follows a time-varying reference or setpoint. When implemented, LQR yields a motor response that aligns with the target setpoint without any overshoot or undershoot. In contrast, if LQR is not applied, the motor response deviates significantly from the desired target and takes a longer time to settle. Meanwhile, the LQT method produces a quicker response reaching steady state in approximately ±0.5 seconds although it does introduce some overshoot and slight ripple in the signal. Despite these minor drawbacks, LQT is often favored over LQR for applications involving the MG-16B DC motor due to its superior speed in reaching the setpoint.
Comparison of System Optimization Methods: LQR vs. LQT on the Output Response of IG-42CRGM DC Motor Muhammad Bilhaq Ashlah; Nugraha, Anggara Trisna; Rama Arya Sobhita; Geniari Nastiti
SAINSTECH NUSANTARA Vol. 2 No. 4 (2025): November 2025
Publisher : Nusantara Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.71225/jstn.v2i4.99

Abstract

DC motors are widely utilized in industrial applications for their reliability and efficiency. To optimize their performance, it is crucial to employ control systems supported by mathematical modeling to predict motor responses under varying conditions. This study investigates the first- and second-order models of DC motors and examines the impact of internal disturbances (noise) on system performance. The output responses of two DC motors, the 42BLFX02 and Maxon EC-I 40 (70W), are compared under both undisturbed and noisy conditions using simulations. The results reveal that the second-order model offers a more stable response and better aligns with the desired target compared to the first-order model. Furthermore, the application of the Linear Quadratic Regulator (LQR) control method significantly enhances the speed and accuracy of reaching the motor set point. However, when noise is introduced, the LQR method fails to maintain stability, and the motor's output starts to mirror the disturbance pattern. These findings highlight that while LQR is effective under ideal conditions, its performance diminishes when exposed to disturbances. Therefore, additional strategies are necessary to ensure stability and optimal performance in real-world conditions, particularly in environments with significant noise or disturbances.