Design and implementation of a state feedback controller for enhanced speed stability of permanent magnet DC motors under load variations
Abstract
This study presents the design and simulation of a State Feedback Controller (SFC) for speed regulation of a Permanent-Magnet DC (PMDC) motor using a state-space modeling approach. The objective is to achieve stable and accurate speed control under dynamic load disturbances that typically degrade the performance of conventional open-loop systems. The Direct Current (DC) motor is modeled in state-space form, with armature current and angular speed selected as the main system states. Controller gains are designed using the pole placement method to ensure fast response and improved stability. The proposed SFC is evaluated through MATLAB®/Simulink® simulations by examining motor speed, armature current, and input voltage responses under step-load variations. Simulation results show that the SFC maintains the motor speed at the reference value of 3,430 rpm even during sudden load increases, whereas the uncontrolled motor experiences significant speed drops and oscillations. Performance analysis confirms notable improvements in transient response. The rise time is reduced from 1.1864 s to 0.4220 s, and the settling time decreases from 2.1132 s to 0.7517 s, indicating faster and more stable system behavior. In addition, smoother current transitions and more efficient voltage regulation are achieved compared to the open-loop configuration. Overall, the results demonstrate that state-space control using pole placement provides a robust and responsive alternative to conventional PID controllers for DC motor speed control under load disturbances. Future work will focus on experimental validation and the exploration of advanced control strategies such as Linear Quadratic Regulation and adaptive control.
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M. Stanisławski, M. Rydel and Z. Li, “A new reduced‑order implementation of discrete‑time fractional‑order PID controller,” IEEE Access, vol. 11, pp. 123456–123465, 2023.
D. Baidya, S. Dhopte and M. Bhattacharjee, “Sensing system assisted novel PID controller for efficient speed control of DC motors in electric vehicles,” IEEE Sensors Letters, vol. 7, no. 1, pp. 1–4, 2023.
C. P. Ragasudha and S. Hemamalini, “Performance analysis of a high gain bidirectional DC–DC converter fed drive for an electric vehicle with battery‑charging capability during braking,” IEEE Access, 2024.
R. Thapliyal, S. Bose and P. Dwivedi, “An integrated bidirectional multi‑source DC–DC converter with VMC approach for VSI‑fed motor drive using non‑isolated topology,” IEEE Transactions on Energy Conversion, vol. 39, no. 2, pp. 1047–1056, 2024.
S. Ekinci, D. Izci and M. Yilmaz, “Efficient speed control for DC motors using novel Gazelle simplex optimizer,” IEEE Access, 2023.
J. Pakdeeto, S. Wansungnoen, K. Areerak and K. Areerak, “Optimal speed controller design of commercial BLDC motor by adaptive Tabu search algorithm,” IEEE Access, vol. 11, pp. 66734–66745, 2023.
M. Yuan, Y. Meng, X. Qi, X. Li and N. Zhang, “Research on simulation of permanent‑magnet synchronous motor in full speed range,” PLOS One, vol. 20, 2025.
S. K. Krishnamoorthy, N. Das, P. Gudimetla and K. Emami, “Enhanced speed control for BLDC motors using WOA‑integrated PID controller optimization,” IEEE Access, vol. 12, pp. 3480349, 2024.
Y. Lu, J. Huang, Z. Jiang, T. Tang, H. Tang and L. Shi, “PID adaptive feedback motor system based on neural network,” IEEE Access, vol. 12, pp. 60149–60154, 2024.
D. Montoya‑Acevedo, W. Gil‑González, O. D. Montoya, C. Restrepo and C. González‑Castaño, “Adaptive speed control for a DC motor using DC/DC converters: An inverse optimal control approach,” IEEE Access, 2023.
J. Gómez‑Chitiva, A. Escalante‑Sarrias and O. Montoya, “Voltage regulation in second‑order DC‑DC converters via the inverse optimal control design with proportional–integral action,” TecnoLógicas, 2022.
J. De Viaene, D. Ceulemans, S. Derammelaere and K. Stockman, “Sensorless load‑angle control for energy‑optimal sinusoidal‑driven BLDC motor applications,” IEEE/ASME Transactions on Mechatronics, 2023.
M. Sundaram, J. Chelladurai, M. Anand, M. Kumari, S. Sharma and M. Assad, “A novel approach to energy‑optimized variable‑speed sensorless‑based brushless DC motors control for automotive wiper applications,” Arabian Journal for Science and Engineering, pp. 1–14, 2023.
M. A. Fkirin and M. A. E. Khira, “Enhanced antenna‑positioning control system using adapted DC servo motor and fuzzy‑PI controller,” IEEE Access, vol. 11, pp. 2661–2672, 2023.
J. García‑Martínez, E. Cruz‑Miguel, R. Carrillo‑Serrano, F. Mendoza‑Mondragón, M. Toledano‑Ayala and J. Rodríguez‑Reséndíz, “A PID‑type fuzzy‑logic controller‑based approach for motion‑control applications,” Sensors, vol. 20, 2020.
L. Komma, A. Karlapudy and G. Saraswathi, “State feedback controller stratagem for permanent‑magnet synchronous motor drive,” in Proc. 2022 IEEE North Karnataka Subsection Flagship International Conference (NKCon), pp. 1–6, 2022.
C. Omeje, A. Salau and C. Eya, “Dynamics analysis of permanent magnet synchronous motor speed control with enhanced state feedback controller using a linear quadratic regulator,” Heliyon, vol. 10, 2024.
H. S. and A. S., “Multithreaded state feedback control with speed estimation for permanent‑magnet DC‑motor speed control,” in Proc. 2024 IEEE Recent Advances in Intelligent Computational Systems (RAICS), pp. 1–6, 2024.
A. Apte, V. Joshi, H. Mehta and R. Walambe, “Disturbance‑observer‑based sensorless control of PMSM using integral state feedback controller,” IEEE Transactions on Power Electronics, vol. 35, pp. 6082–6090, 2020.
V. Parque and A. Khalifa, “PID tuning using differential evolution with success‑based particle adaptations,” IEEE Access, vol. 11, pp. 66734–66745, 2023.
C. Naveen, S. S. Chauhan, C. Paramasivam and V. P. Meena, “FPGA IP core for DC motor control with adaptive neural network PID tuning and high‑resolution encoder interface,” IEEE Access, vol. 12, pp. 9356–9367, 2024.
Y. Yang, X. Zhang, H. Zhang and R. Voyles, “Stabilization for a class of partially observable uncertain fractional‑order nonlinear systems with time‑varying delays and disturbance,” IEEE Transactions on Systems, Man and Cybernetics: Systems, vol. 54, pp. 7341–7355, 2024.
L. Zhang, J. Yang and S. Li, “A model‑based unmatched disturbance‑rejection control approach for speed regulation of a converter‑driven DC motor using output feedback,” IEEE/CAA Journal of Automatica Sinica, vol. 9, no. 2, pp. 365–376, 2022.
H. Maghfiroh, M. Nizam, M. Anwar and A. Ma’Arif, “Improved LQR control using PSO optimization and Kalman filter estimator,” IEEE Access, vol. 10, pp. 120543–120555, 2022.
S. J. Hammoodi, K. S. Flayyih, and A. R. Hamad, "Design and implementation speed control system of DC motor based on PID control and matlab simulink," Int. J. Power Electron. Drive Syst., vol. 11, no. 1, pp. 127–134, 2020.
D. D. Saputra, A. Ma'arif, H. Maghfiroh, M. A. Baballe, A. M. Tusset, and A. N. Sharkawy, "Performance evaluation of sliding mode control (SMC) for DC motor speed control," J. Robot. Control, vol. 4, no. 4, 2023.
S. A. Salman et al., "Stability and performance evaluation of the speed control of DC motor using state-feedback controller," Indonesian Journal of Electrical Engineering and Computer Science, vol. 22, no. 3, pp. 1372–1378, 2021.
A. Al-Mahturi et al., "Speed Control of DC Motor Based on Tuning Pole Placement Using Enhanced PSO," IEEE ICECCO, 2020. DOI: 10.1109/ICECCO49578.2020.9247883
A. Y. Al-Maliki et al., "A Comparative Study of DC Motor Speed Control Techniques Using Fuzzy, SMC and PID," Journal of European Systems Automatisés, vol. 57, no. 2, 2024.
M. Jabari, S. Ekinci, D. Izci et al., "Efficient DC motor speed control using a novel multi-stage FOPD(1+PI) controller optimized by the Pelican optimization algorithm," Scientific Reports, vol. 14, 22442, 2024.
DOI: http://dx.doi.org/10.30811/jpl.v24i2.8379
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