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A Description of the Motion of a Mobile Robot with Mecanum Wheels – Dynamics

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 920))

Abstract

This paper formulates dynamic equations of motion of a 4-wheel mobile robot equipped with mecanum-type wheels. This new approach towards the formulation of equations has been applied by the usage of Maggi’s mathematical formalism. When describing the dynamics of the mobile robot, dynamic equations of motion have been designed by the application of Lagrange’s equations with multipliers. Lagrange’s multipliers occurring in dynamic equations of motion cause difficulties in the application of such a form to the real-time steering synthesis of the analyzed object. Maggi’s mathematical formalism has been applied to eliminate the need for multipliers. Numerical simulations of the inverse dynamics task have been conducted for the obtained dynamic motion parameters stemming from the inverse kinematics task.

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References

  1. Amengonu, Y., Kakad, Y.: Dynamics and Control of Constrained Multibody Systems modeled with Maggi’s equation: application to Differential Mobile Robots Part I. IOP Conf. Ser. Mater. Sci. Eng. 65(1), 012017 (2014)

    Article  Google Scholar 

  2. Bodson, M.: Evaluation of optimization methods for control allocation. J. Guid. Control Dyn. 25(4), 703–711 (2002)

    Article  Google Scholar 

  3. Hendzel, Z.: Robust neural networks control of Omni-Mecanum wheeled robot with Hamilton-Jacobi inequality. J. Theoret. Appl. Mech. 56(4), 1193–1204 (2018)

    Article  Google Scholar 

  4. Hendzel, Z.: A description of the motion of a mobile robot with Mecanum wheels-kinematics. In: Advances in Intelligent Systems and Computing. Springer (2019). (accepted to the printing)

    Google Scholar 

  5. Kurdila, A., Papastavridis, J.G., Kamat, M.P.: Role of Maggi’s equations in computational methods for constrained multibody systems. J. Guid. Control Dyn. 13(1), 113–120 (1990)

    Article  MathSciNet  Google Scholar 

  6. Lin, L.-C., Shih, H.-Y.: Modeling and adaptive control of an Omni-Mecanum-Wheeled robot. Intell. Control Autom. 4, 166–179 (2013)

    Article  Google Scholar 

  7. de Wit, C.C., Siciliano, B., Bastin, G.: Theory of Robot Control. Springer, London (1996)

    Book  Google Scholar 

  8. Papastavridis, J.G.: Maggi’s equations of motion and the determination of constraint reactions. J. Guid. Control Dyn. 13(2), 213–220 (1990)

    Article  MathSciNet  Google Scholar 

  9. Szuster, M., Hendzel, Z.: Intelligent Optimal Adaptive Control for Mechatronic Systems. Springer (2018)

    Google Scholar 

  10. Taheri, H., Qiao, B., Ghaeminezhad, N.: Kinematic model of a four Mecanum wheeled mobile robot. Int. J. Comput. Appl. 113(3) (2015)

    Article  Google Scholar 

  11. Zimmermann, K., Zeidis, I., Abdelrahman, M.: Dynamics of mechanical systems with Mecanum wheels. In: Applied Non-Linear Dynamical Systems, pp. 269–279. Springer International Publishing (2014)

    Google Scholar 

  12. Żylski, W.: Kinematics and Dynamics of Wheeled Mobile Robots (in Polish). Rzeszow University of Technology Publishing Mouse, Rzeszow (1996)

    Google Scholar 

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Correspondence to Zenon Hendzel .

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Hendzel, Z. (2020). A Description of the Motion of a Mobile Robot with Mecanum Wheels – Dynamics. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2019. AUTOMATION 2019. Advances in Intelligent Systems and Computing, vol 920. Springer, Cham. https://doi.org/10.1007/978-3-030-13273-6_32

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