SLIDING MODE BASED CONTROL AND OBSERVER DESIGN FOR SERIES DC MOTOR VELOCITY REGULATION

Miodrag Spasić, Xiaolei Li, Darko Mitić, Dragan Antić, Nebojša Jotović, Miroslav Milovanović

DOI Number
https://doi.org/10.22190/FUACR250127001S
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Abstract


This paper presents methods for designing sliding mode based control and observer using feedback linearization in order to obtain a linearized model of the system. Control and observer have been designed for a series DC motor, nonlinear system where the feedback linearization method is applied. A small number of studies examines the case when the armature current is estimated, and the sensor for the rotor velocity is present. The motivation for implementing feedback regulation based on estimated variables in practical applications lies primarily in reducing system costs. It is assumed that the angular velocity of the series DC motor can be measured, and sliding mode observer is used to estimate the armature current. The sliding mode control based on the so-called power rate reaching law is used. Its main characteristic is minimizing chattering, both in the control signal and the switching function. Due to the singularity at the start of the experiment when the armature current is zero, its value is constrained. It is experimentally shown that the estimated value converges to the measured output signal value of the series DC motor. The same holds even in the presence of white noise with a standard deviation of 1.0, although the effects are noticeable under these conditions. The presented simulation results are obtained using the Matlab/Simulink environment and are provided at the end of the paper.


Keywords

series DC motor, sliding mode controller, sliding mode observer, Lie derivative, feedback linearization.

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References


D. G. Luenberger, “Observing the state of a linear system,” EEE Transactions on Military Electronics, vol. 8, no 2, pp. 74-80, 1964, doi: 10.1109/TME.1964.4323124

D. G. Luenberger, “Observers for multivariable systems,” IEEE Transactions on Automatic Control, vol. 11, pp. 190-197, 1966, doi: 10.1109/TAC.1966.1098323

Ç. Elmas, H. Zelaya-De La Parra, “Application of a full-order extended Luenberger observer for a position sensorless operation of a switched reluctance motor drive,” IEE Proceedings - Control Theory and Applications, vol. 143. no. 5, pp. 431–438. doi: 10.1049/ip-cta:19960421

N. Boizot, E. Busvelle, J.-P. Gauthier, and J. Sachau,“Adaptive-gain extended kalman filter: application to a series connected dc motor,” Conference on Systems and Control, 2007.

E. Arévalo, R. Herrera Hernández, D. Katselis, C. Reusser, R. Carvajal, R. (2025). On Modelling and State Estimation of DC Motors. Actuators, vol. 14, no. 4:160, doi: 10.3390/act14040160

D. Ichalal, M. Benoˆıt, D. Maquin, and J. Ragot, “On observer design for nonlinear takagi-sugeno systems with unmeasurable premise variable,” 2011 4th International Symposium on Advanced Control of Industrial Processes, Thousand Islands Lake, Hangzhou, P.R, China, pp. 353–358, 2011.

D. U. Campos-Delgado, E. Palacios, and D. R. Espinoza-Trejo,“Passivity based control of nonlinear dc motors configurations and sensorless applications,” IEEE International Symposium on Industrial Electronics, pp. 3379 – 3384, 2007.

J. Slotine, J. K. Hedrick, and E. Misawa, “On sliding observers for nonlinear systems,” Journal of Dynamic Systems, Measurements and Control, vol. 109, pp. 245-252, 1987, doi: 10.1115/1.3143852

S. V. Drakunov, “Sliding-mode observers based on equivalent control method,” Proc. of the 31st IEEE Conference on Decision and Control, vol. 2, pp. 2368-2369, 1992.

R. Sanchis and H. Nijmeijer, “Sliding controller-sliding observer design for nonlinear systems,” European Journal of Control, vol. 4, no. 3, pp. 208-234, 1998, doi: 10.1016/S0947-3580(98)70115-3

S. V. Drakunov, “Sliding-mode observers based on equivalent control method,” Proc. of the 31st IEEE Conference on Decision and Control, vol. 2, pp. 2368-2369, 1992.

Y. Sun, M. Yang, B. Wang, Y. Chen and D. Xu, “Precise Position Control Based on Resonant Controller and Second-Order Sliding Mode Observer for PMSM-Driven Feed Servo System,” in IEEE Transactions on Transportation Electrification, vol. 9, no. 1, pp. 196-209, March 2023, doi: 10.1109/TTE.2022.3182027.

R. Chuei, Y. Zheng, Z. Cao, Z. Man, “Improved sliding mode observer based repetitive control for linear systems with time-varying input and state delays, ” Int J Adapt Control Signal Process, vol. 38, no. 2, pp. 393-414, 2024, doi: 10.1002/acs.3706

Y. Lan, Z. Luo, “Integral Sliding Mode Disturbance Observer-Based Preview Repetitive Control,” ASME. J. Dyn. Sys., Meas., Control, vol 146, no. 4, 2024, pp. 045001, doi: 10.1115/1.4065246

Z. Chen, A. A. Dawara, X. Zhang, H. Zhang, C. Liu and G. Luo, “Adaptive Sliding Mode Observer-Based Sensorless Control for SPMSM Employing a Dual-PLL, ” in IEEE Transactions on Transportation Electrification, vol. 8, no. 1, pp. 1267-1277, 2022, doi: 10.1109/TTE.2021.3112123

T. Song, L. Fang, H. Wang, “Model-free finite-time terminal sliding mode control with a novel adaptive sliding mode observer of uncertain robot systems,” Asian J Control, vol. 24, no. 3, pp. 1437–1451, 2022, doi: 10.1002/asjc.2542

S. Hajari and O. Ray, “A Dynamic Voltage-Based Current Estimation Technique for DC Motor Speed Control Applications,” IEEE Sensors Letters, vol. 8, no. 2, pp. 1-4, Feb. 2024, Art no. 6001404, doi: 10.1109/LSENS.2023.3346651.

D. P. Vanegas, R. S. Alvarez-Valle, M. F. V. Tamayo, “Non-linear State Estimation of a DC Series Motor: A Review and a Novel Tuning Method,” 2019 IEEE 4th Colombian Conference on Automatic Control (CCAC), Medellin, Colombia, 2019, pp. 1-6, doi: 10.1109/CCAC.2019.8920856.

S. Mehta, “Nonlinear control of a series dc motor: theory and experiment,” IEEE Transactions on Industrial Electronics, vol. 45, no. 1, pp. 134-141, 1998, doi: 10.1109/41.661314

M. Vesović, R. Jovanović, V. Zarić, “Modelling and speed control in a series direct current (DC) machines using feedback linearization approach,” the fifth international conference mechanical engineering in XXI century – MASING 2020, Niš, Serbia, 2020, pp.207–213.

M. Vesović, R. Jovanović, N. Trišović “Control of a DC motor using feedback linearization and gray wolf optimization algorithm,” Advances in Mechanical Engineering, vol. 14, no. 3, 2022, doi:10.1177/16878132221085324

P. D. Olivier, “Feedback linearization of DC motors,” IEEE Transactions on Industrial Electronics, vol. 38, no. 6, pp. 498-501, Dec. 1991, doi: 10.1109/41.107115.

J. Ciezki, R. Ashton, “The application of feedback linearization techniques to the stabilization of dc-to-dc converters with constant power loads,” Proceedings of the 1998 IEEE International Symposium on Circuits and Systems, ISCAS'98, vol. 3, 1998, pp. 526–9.

A. Emadi and M. Ehsani, “Negative impedance stabilizing controls for PWM DC-DC converters using feedback linearization techniques,” Collection of Technical Papers. 35th Intersociety Energy Conversion Engineering Conference and Exhibit (IECEC) (Cat. No.00CH37022), Las Vegas, NV, USA, vol.1, pp. 613-620, 2000, doi: 10.1109/IECEC.2000.870842

M. Cupelli, M. Moghimi, A. Riccobono and A. Monti, “A comparison between synergetic control and feedback linearization for stabilizing MVDC microgrids with constant power load,” IEEE PES Innovative Smart Grid Technologies, Europe, Istanbul, Turkey, 2014, pp. 1-6, doi: 10.1109/ISGTEurope.2014.7028870.

G. Sulligoi, D. Bosich, G. Giadrossi, L. Zhu, M. Cupelli and A. Monti, “Multiconverter Medium Voltage DC Power Systems on Ships: Constant-Power Loads Instability Solution Using Linearization via State Feedback Control,” IEEE Transactions on Smart Grid, vol. 5, no. 5, pp. 2543-2552, Sept. 2014, doi: 10.1109/TSG.2014.2305904.

K. Konishi, Y. Sugitani, N. Hara, “Analysis of a dc bus system with a nonlinear constant power load and its delayed feedback control,” Phys Rev E, vol. 89, no. 2, 2014[022906:1–8], doi: 10.1103/PhysRevE.89.022906

W. Ghozlane, J. Knani, “Nonlinear Control via Input-Output Feedback Linearization of a Robot Manipulator, ” Advances in Science, Technology and Engineering Systems Journal, vol. 3, no. 6, pp. 374-381, 2018.

H. Khalil, Nonlinear Systems, International ed., Upper Saddle River, New Jersey: Prentice Hall, 2002.

W. Gao, J. Hung, “Variable structure control of nonlinear systems. A new approach,” IEEE Transactions on Industrial Electronics, vol. 40, no. 1, pp. 45-55, 1993.




DOI: https://doi.org/10.22190/FUACR250127001S

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