Modeling and Motion Control of a Mobile Wheeled Robot at Low Speeds

Ľubica Miková; Erik Prada; Michal Kelemen; Leo Brada

doi:10.2478/mspe-2026-0045

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Modeling and Motion Control of a Mobile Wheeled Robot at Low Speeds

Management Systems in Production Engineering

Volume 34 (2026): Issue 3 (September 2026)

By: Ľubica Miková, Erik Prada, Michal Kelemen and Leo Brada

Open Access

|Aug 2026

Abstract

The article deals with the issue of modeling and motion control of a mobile wheeled robot at low speeds. Attention is focused on the basic methods of mobile robot control, namely synchronous steering, Ackermann steering, and differential drive control. The main emphasis is placed on differential drive control, which is suitable for small mobile robotic platforms due to its design, good maneuverability, and ability to rotate in place. The article describes the kinematic and dynamic model of a mobile robot, taking into account quantities such as position and orientation. The proposed solution also includes the design of a control loop that enables the control of the angular velocities of the wheels and the tracking of a desired trajectory. The proposed simulation model was created in the MATLAB/Simulink environment and divided into subsystems describing kinematics, dynamics, control, and velocity transformation. The practical part of the article is devoted to the structural design and implementation of an experimental prototype of a mobile robot. The result is a functional prototype suitable for verifying the principles of mobile robotics, regulation, and motion control under real conditions.

References

Siegwart, R., Nourbakhsh, I.R. & Scaramuzza, D., (2011). Introduction to Autonomous Mobile Robots. Cambridge, MA: MIT Press.
Search in Google Scholar Back to article
Siciliano, B. & Khatib, O., (2016). Springer Handbook of Robotics. 2^nd ed. Cham. Springer.
Search in Google Scholar Back to article
Samson, C., (1995). Control of chained systems: Application to path following and time-varying point stabilization of mobile robots. IEEE Transactions on Automatic Control, 40(1), pp. 64-77.
Search in Google Scholar Back to article
Kanayama, Y., Kimura, Y., Miyazaki, F. & Noguchi, T., (1990). A stable tracking control method for an autonomous mobile robot. Proceedings of the IEEE International Conference on Robotics and Automation. Cincinnati, OH, USA, 13-18 May 1990. Piscataway, NJ: IEEE, pp. 384-389.
Search in Google Scholar Back to article
Morin, P. & Samson, C., (2008). Motion control of wheeled mobile robots. In: Siciliano, B. & Khatib, O. eds. Springer Handbook of Robotics. Berlin: Springer, pp. 799-826.
Search in Google Scholar Back to article
Thrun, S., Burgard, W. & Fox, D., (2005). Probabilistic Robotics. Cambridge, MA. MIT Press.
Search in Google Scholar Back to article
Dudek, G. & Jenkin, M., (2000). Computational Principles of Mobile Robotics. Cambridge: Cambridge University Press.
Search in Google Scholar Back to article
Kelly, A., (2013). Mobile Robotics: Mathematics, Models, and Methods. Cambridge. Cambridge University Press.
Search in Google Scholar Back to article
Carnegie Mellon University, n.d. Kinematics of Differential Drive Robots. Carnegie Mellon University.
Search in Google Scholar Back to article
Rajamani, R., (2012). Vehicle Dynamics and Control. 2^nd ed. New York. Springer.
Search in Google Scholar Back to article
Campion, G., Bastin, G. & D’Andrea-Novel, B., (1996). Structural properties and classification of kinematic and dynamic models of wheeled mobile robots. IEEE Transactions on Robotics and Automation, 12(1), pp. 47-62.
Search in Google Scholar Back to article
Martins, F.N., Sarcinelli-Filho, M. & Carelli, R., (2017). A velocity-based dynamic model and its properties for differential drive mobile robots. Journal of Intelligent & Robotic Systems, 85, pp. 277-292.
Search in Google Scholar Back to article
Fierro, R. & Lewis, F.L., (1997). Control of a nonholonomic mobile robot: backstepping kinematics into dynamics. Journal of Robotic Systems, 14(3), pp. 149-163.
Search in Google Scholar Back to article
Oriolo, G., De Luca, A. & Vendittelli, M., (2002). WMR control via dynamic feedback linearization: design, implementation, and experimental validation. IEEE Transactions on Control Systems Technology, 10(6), pp. 835-852. doi: 10.1109/TCST.2002.804116.
Search in Google Scholar Back to article
Canudas de Wit, C., Siciliano, B. & Bastin, G., (1996). Theory of Robot Control. London. Springer.
Search in Google Scholar Back to article
Bulej, V., Kuric, I., Sága, M., Vasko, M., Ságová, Z., Bartos, M. & Legutko, S., (2022). Analysis of symmetrical/asymmetrical loading influence of the full-suspension downhill bicycle’s frame on the crack failure formation at a critical point during different driving scenarios and design improvement. Symmetry, 14(2), Article 255. doi: 10.3390/sym14020255.
Search in Google Scholar Back to article
Craig, J.J., (2005). Introduction to Robotics: Mechanics and Control. Upper Saddle River, NJ. Pearson.
Search in Google Scholar Back to article
Farah, S., Anderson, D.G. & Langer, R., (2016). Physical and mechanical properties of PLA, and their functions in widespread applications. A comprehensive review. Advanced Drug Delivery Reviews, 107, pp. 367-392.
Search in Google Scholar Back to article
Boubakri, A. et al., (2010). Mechanical and tribological properties of TPU materials. Materials & Design.
Search in Google Scholar Back to article
STMicroelectronics, n.d. L298N Dual H-Bridge Motor Driver Datasheet. STMicroelectronics.
Search in Google Scholar Back to article
Espressif Systems, (2020). ESP32-WROOM-32 Datasheet. Espressif Systems.
Search in Google Scholar Back to article
Zajacko, I., Benko, V. & Bozek, P., (2026). Development of a hybrid mobile robot navigation system for industrial applications. MM Science Journal, 2026, pp. 9371-9377. doi: 10.17973/MMSJ.2026_06_2026119.
Search in Google Scholar Back to article
Borenstein, J. & Koren, Y., (1991). The vector field histogram – fast obstacle avoidance for mobile robots. IEEE Transactions on Robotics and Automation, 7(3), pp. 278-288. doi: 10.1109/70.88137.
Search in Google Scholar Back to article
Dissanayake, M.W.M.G., Newman, P., Clark, S., Durrant-Whyte, H.F. & Csorba, M., (2001). A solution to the simultaneous localization and map building (SLAM) problem. IEEE Transactions on Robotics and Automation, 17(3), pp. 229-241. doi: 10.1109/70.938381.
Search in Google Scholar Back to article
Thrun, S., Fox, D., Burgard, W. & Dellaert, F., (2001). Robust Monte Carlo localization for mobile robots. Artificial Intelligence, 128(1-2), pp. 99-141. doi: 10.1016/S0004-3702(01)00069-8.
Search in Google Scholar Back to article

Articles in this issue

DOI: https://doi.org/10.2478/mspe-2026-0045 | Journal eISSN: 2450-5781 | Journal ISSN: 2299-0461

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Language: English

Page range: 521 - 533

Submitted on: May 1, 2026

Accepted on: Oct 1, 2026

Published on: Aug 6, 2026

Published by: STE Group sp. z.o.o.

In partnership with: Paradigm Publishing Services

Keywords:

mobile wheeled robot,

low speed,

differential steering,

kinematic model,

dynamic model

Related subjects:

Business and economics,

Business management,

Management accounting, financial controlling, cost calculation, investment,

Engineering,

Mechanical engineering,

Production technology,

Tools and methods,

Process engineering and industrial engineering

© 2026 Ľubica Miková, Erik Prada, Michal Kelemen, Leo Brada, published by STE Group sp. z.o.o.
This work is licensed under the Creative Commons Attribution-NonCommercial 4.0 License.

Volume 34 (2026): Issue 3 (September 2026)