Abstract
The problem of dynamics modeling of a four-wheeled mobile robot is analyzed in this paper. All wheels of the robot are non-steered and the servomotors are used for driving the robot. Three cases of the robot drive system are considered. In the first case, two out of four wheels of the robot are independently driven, i.e., a pair of front or rear wheels. In the second case, the same wheels of the robot are driven but drive is also transmitted to the remaining wheels via toothed belts at each side of the robot. Finally, in the third case all four wheels are independently driven. Kinematic structure of the robot and its kinematics are described. The dynamics model of the robot dedicated for control applications is derived. It takes into account tire-ground contact conditions and wheel slips. The tire-ground contact conditions are characterized by coefficients of friction and rolling resistance. A simple form of the tire model, which considers only the most important effects of tire-ground interaction, is applied. The robot dynamics model also includes the presence of friction in kinematic pairs and the electromechanical model of servomotor drive unit. The presented robot dynamics model can be used for simulation-based investigations of control systems under development. Because the model was also formulated in a form linear with respect to parameters, it is possible to use it as a part of the robust or adaptive type control system.
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References
Barbosa de Oliveira Vaz, D.A., Inoue, R.S., Grassi Jr., V.: Kinodynamic Motion Planning of a Skid-Steering Mobile Robot Using RRTs. In: 2010 Latin American Robotics Symposium and Intelligent Robotics Meeting (2010)
Dąbek, P., Szosland, A.: Identification of rotational properties of a non-pneumatic tyre of a mobile robot. Pomiary Automatyka Robotyka 2(2011), 495–503 (2011) (in Polish: Identyfikacja parametrów skrętnych opony niepneumatycznej robota mobilnego)
Hendzel, Z.: An adaptive critic neural network for motion control of a wheeled mobile robot. Nonlinear Dynamics 50, 849–855 (2007)
Hua, J., et al.: Modeling and Control of Wheeled Mobile Robot in Constrained Environment Based on Hybrid Control Framework. In: Proceedings of the 2009 IEEE International Conference on Robotics and Biomimetics, Guilin, China (2009)
Iagnemma, K., Dubowsky, S.: Mobile Robots in Rough Terrain. Estimation, Motion Planning, and Control with Application to Planetary Rovers. STAR, vol. 12. Springer, Heidelberg (2004)
Kasprzyczak, L., Trenczek, S., Cader, M.: Robot for monitoring hazardous environments as a mechatronic product, Journal of Automation. Mobile Robotics & Intelligent Systems 6(4), 57–64 (2012)
Kozłowski, K., Pazderski, D.: Practical stabilization of 4WD skid-steering mobile robot – A kinematic-based Approach. In: 2006 IEEE 3rd International Conference on Mechatronics, Budapest, pp. 519–524 (2006)
Lenain, R., et al.: Mobile robot control in presence of sliding - Application to agricultural vehicle path tracking. In: Proceedings of the 45th IEEE Conference on Decision & Control, Manchester Grand Hyatt Hotel, San Diego, CA, USA (2006)
Makkar, C., Dixon, W.E., Sawyer, W.G., Hu, G.: A New Continuously Differentiable Friction Model for Control Systems Design. In: IEEE/ASME International Conference on Advanced Intelligent Mechatronics, Monterey, California, USA (2005)
Pacejka, H.B.: Tire and Vehicle Dynamics, 2nd edn. SAE International and Elsevier (2005)
Padhy, P.K., et al.: Modeling and Position Control of Mobile Robot. In: The 11th IEEE International Workshop on Advanced Motion Control, Nagaoka, Japan (2010)
Ping, L.Y.: Slip Modelling, Estimation and Control of Omnidirectional Wheeled Mobile Robots with Powered Caster Wheels. Doctorial Thesis, National University of Singapore, Singapore (2009)
Tian, Y., Sidek, N., Sarkar, N.: Modeling and control of a nonholonomic Wheeled Mobile Robot with wheel slip dynamics. In: IEEE Symposium on Computational Intelligence in Control and Automation, CICA 2009, pp. 7–14 (2009)
Trojnacki, M.: Dynamics modeling of wheeled mobile robots, OW PIAP, Warszawa (2013) (in Polish: Modelowanie dynamiki mobilnych robotów kołowych)
Trojnacki, M., Dąbek, P., Kacprzyk, J., Hendzel, Z.: Trajectory Tracking Control of a Four-Wheeled Mobile Robot with Yaw Rate Linear Controller. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds.) Recent Advances in Automation, Robotics and Measuring Techniques. AISC, vol. 267, pp. 507–522. Springer, Heidelberg (2014)
Tu, C., et al.: Motion Control and Stabilization of a Skid-Steering Mobile Robot. In: 2nd International Conference on Adaptive Science & Technology, pp. 325–330 (2009)
Wang, D., Low, C.B.: Modeling and Analysis of Skidding and Slipping in Wheeled Mobile Robots - Control Design Perspective. IEEE Transactions on Robotics 24(3), 676–687 (2008)
Wong, J.Y.: Theory of Ground Vehicles, 3rd edn. Wiley-Interscience (2001)
Mobile robots for counter-terrorism (PIAP), http://www.antiterrorism.eu
Maciej, T.: Trojnacki: Mobile robots – models, animations and movies, http://www.mtrojnacki.republika.pl/MobileRobots/index.html
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Trojnacki, M. (2015). Dynamics Model of a Four-Wheeled Mobile Robot for Control Applications – A Three-Case Study. In: Filev, D., et al. Intelligent Systems'2014. Advances in Intelligent Systems and Computing, vol 323. Springer, Cham. https://doi.org/10.1007/978-3-319-11310-4_10
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DOI: https://doi.org/10.1007/978-3-319-11310-4_10
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-11309-8
Online ISBN: 978-3-319-11310-4
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