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Robust Tracking Control of Omni-Mecanum Wheeled Robot

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Automation 2021: Recent Achievements in Automation, Robotics and Measurement Techniques (AUTOMATION 2021)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1390))

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Abstract

This paper presents an approach to the problem of controlling mechanical objects of unspecified description, considering variable operating conditions. The controlled object is a mobile robot with mecanum wheels. The control algorithm is based on the input-output linearization method and variable structure control approach. The major contribution of this paper lies in application of new approach to control wheeled robot along desired trajectory in the present parametric and non-parametric modelling inaccuracies. To solve the control task, taking into account compensation for nonlinearity and the object variable operating conditions, the Lyapunov stability theory is applied. Basing on numerical analysis, it has been demonstrated that the tested control algorithm is robust to assumed inaccuracies in modelling.

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References

  1. Pin, F., Killough, S.: A new family of omnidirectional and holonomic wheeled platforms for mobile robots. IEEE Trans. Robot. Autom. 10(4), 480–489 (2002)

    Article  Google Scholar 

  2. Xie, L., Scheifele, C., Xu, W., Stol, K.A., Heavy-duty omni-directional Mecanum-wheeled robot for autonomous navigation: system development and simulation realization. In: IEEE International Conference on Mechatronics, Nagoya, Japan, pp. 256–261 (2015)

    Google Scholar 

  3. Qian, J., Zi, B., Wang, D., Ma, Y., Zhang, D.: The design and development of an omni-directional mobile robot oriented to an intelligent manufacturing system. Sensors 17(9), 2073 (2017)

    Article  Google Scholar 

  4. Adamov, B.I.: Influence of mecanum wheels construction on accuracy of the omnidirectional platform navigation (on example of KUKA youBot robot). In: 2018 25th Saint Petersburg International Conference on Integrated Navigation Systems (ICINS), St. Petersburg, pp. 1–4. IEEE (2018)

    Google Scholar 

  5. Hsu, P.-E., Hsu, Y.-L., Lu, J.-M., Jerry, Tsai, J.-H., Chen, Y.-S.: iRW: an intelligent robotic wheelchair integrated with advanced robotic and telehealth solutions. In: 1st Asia Pacific eCare and TeleCare Congress, Hong Kong, China, 16–19 June 2011

    Google Scholar 

  6. Li, D., Ye, J.: Adaptive robust control of wheeled mobile robot with uncertainties. In: 2014 IEEE 13th International Workshop on Advanced Motion Control, pp. 518–523 (2014)

    Google Scholar 

  7. Li, T.H.S., Chen, C.-Y., Hung, H.-L., Yeh, Y.-C.: A fully fuzzy trajectory tracking control design for surveillance and security robots. In: 2008 IEEE International Conference on Systems, Man and Cybernetics, pp. 1995–2000. Singapore (2008)

    Google Scholar 

  8. 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 

  9. Thi, K., Manh, N., Vo, H., Tran, V., Nguyen, D., Bui, A.: Trajectory tracking control for four-wheeled omnidirectional mobile robot using Backstepping technique aggregated with sliding mode control, pp. 131–134 (2019). https://doi.org/10.1109/ICA-SYMP.2019.8646041

  10. Alakshendra, V., Chiddarwar, S. S.: A robust adaptive control of mecanum wheel mobile robot: simulation and experimental validation. In: Proceedings of the International Conference on Intelligent Robots and Systems, pp. 5606–5611 (2016)

    Google Scholar 

  11. Lu, X., Zhang, X., Zhang, G., Jia, S.: Design of adaptive sliding mode controller for four-mecanum wheel mobile robot. In: 37th Chinese Control Conference (CCC) (2018)

    Google Scholar 

  12. Ovalle, L., Ríos, H., Llama, M., Santibáñez, V., Dzul, A.: Omnidirectional mobile robot robust tracking: sliding-mode output-based control approaches. Control Eng. Pract. 85, 50–58 (2019)

    Article  Google Scholar 

  13. Hendzel, Z.: A description of the motion of a mobile robot with mecanum wheels – kinematics. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds.) Automation 2019. AUTOMATION 2019. Advances in Intelligent Systems and Computing, vol. 920. Springer (2020)

    Google Scholar 

  14. Hendzel, Z.: 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 (2020)

    Google Scholar 

  15. Hendzel, Z., Rykała, Ł.: Modelling of dynamics of a wheeled mobile robot with mecanum wheels with the use of Lagrange equations of the second kind. Int. J. Appl. Mech. Eng. 22(1), 81–99 (2017). https://doi.org/10.1515/ijame-2017-0005

    Article  Google Scholar 

  16. Żylski, W.: Kinematics and dynamics of wheeled mobile robots (in Polish). Rzeszow University of Technology Publishing Mouse, Rzeszow (1996)

    Google Scholar 

  17. Slotine, J.J., Li, W.: Applied Non-linear Control. Prentice Hall, New Jersey (1991)

    Google Scholar 

  18. Utkin, I.U.: Variable system with sliding modes. IEEE Trans. Autom. Control 22(2), 212–222 (1977)

    Article  MathSciNet  Google Scholar 

  19. Sira-Ramirez, H.: Differential geometric methods in variable-structure control. Int. J. Control 48(4), 1359–1390 (1988)

    Article  MathSciNet  Google Scholar 

  20. Hendzel, Z.: Robust neural networks control of omni-mecanum wheeled robot with Hamilton-Jacobi inequality. J. Theor. Appl. Mech. 56(4), 1193–1204 (2018). https://doi.org/10.15632/jtam-pl.56.4.1193

    Article  Google Scholar 

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Correspondence to Maciej Kołodziej .

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Hendzel, Z., Kołodziej, M. (2021). Robust Tracking Control of Omni-Mecanum Wheeled Robot. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2021: Recent Achievements in Automation, Robotics and Measurement Techniques. AUTOMATION 2021. Advances in Intelligent Systems and Computing, vol 1390. Springer, Cham. https://doi.org/10.1007/978-3-030-74893-7_21

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