Mathematical Model of a Four Wheel Conventional Robot
Abstract
Mobile robot creation, control, and optimization demand adaptive and efficient strategies. The motion of a four-wheel mobile robot is considered. The four wheels are organized in pairs, with each pair set up as a differential drive system. The robot’s motion is analyzed at both kinematic and dynamic levels. Simulation tests validate the proposed algorithm, and the impact of the forces on the wheels is discussed, leading to key conclusions.
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References
Marchewka, D., & Piątek, M. (2010). Wheeled mobile robot modeling aspects. 1st International Conference on Robotics in Education, Sept. 16–17, 2010, Bratislava, Slovakia.
Miková, L., Kelemen, M., & Čurilla, M. (2013). Mathematical modeling of wheeled mobile robots. American Journal of Mechanical Engineering, 1(7), 246–250. https://doi.org/10.12691/ajme-1-7-19
Hendzel, Z., & Rykała, L. (2017). Modelling of dynamics of a wheeled mobile robot with mecanum wheels with the use of Lagrange equations of the second kind. International Journal of Applied Mechanics and Engineering, 22(1), 81–99. https://doi.org/10.1515/ijame-2017-0005
Mendoza, O. B., Murcia, H. F., & Valenciano, J. D. (2016). Modeling and parameter estimation of a 4-wheel mobile robot. Latin American Conference on Automatic Control, October 2016, Medellín, Colombia.
Miková, L., Kelemen, M., & Konar, D. (2014). Mathematical model of four wheeled mobile robot and its experimental verification. Applied Mechanics and Materials, 611, 130–136. https://doi.org/10.4028/www.scientific.net/AMM.611.130
Amarendra, J. H., Mathew, R., & Hiremath, S. S. (2018). A mathematical model to estimate the position of mobile robot by sensing caster wheel motion. MATEC Web of Conferences, 144, 01011. https://doi.org/10.1051/matecconf/201814401011
Kotov, E. A., & Ivanov, E. O. (2019). Mathematical model of a system containing mobile robot interconnected mobile platforms. AIP Conference Proceedings, 2195(1), 020026. https://doi.org/10.1063/1.5140126
Knights, V., & Petrovska, V. (2024). Dynamic modeling and simulation of mobile robot under disturbances and obstacles in an environment. Journal of Applied Mathematics and Computation, 8(1), 59–67. https://doi.org/10.26855/jamc.2024.03.007
Dasanayake, P. S., Baranauskas, V., Dervinis, G., & Balasevicius, L. (2025). A review of mathematical models in robotics. Applied Sciences, 15(14), 8093. https://doi.org/10.3390/app15148093
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