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Sliding Mode Neuro Adaptive Control in Trajectory Tracking for Mobile Robots

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Abstract

In this work a neural indirect sliding mode control method for mobile robots is proposed. Due to the nonholonomic property and restricted mobility, the trajectory tracking of this system has been one of the research topics for the last ten years. The proposed control structure combines a feedback linearization model, based on a kinematics nominal model, and a practical design that combines an indirect neural adaptation technique with sliding mode control to compensate the dynamics of the robot. Using an online adaptation scheme, a neural sliding mode controller is used to approximate the equivalent control in the neighbourhood of the sliding manifold. A sliding control is appended to ensure that the neural sliding mode control can achieve a stable closed-loop system for the trajectory-tracking control of a mobile robot with unknown nonlinear dynamics. The proposed design simultaneously guarantees the stability of the adaptation of the neural nets and obtains suitable equivalent control when the parameters of the robot model are unknown in advance. The robust adaptive scheme is applied to a mobile robot and shown to be able to guarantee that the output tracking error will converge to zero.

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References

  1. Bugeja, M.K., Fabri, S.G.: Dual Adaptive Control for Trajectory Tracking of Mobile Robots. IEEE ICRA, Roma, Italy (2007)

    Google Scholar 

  2. Carelli, R., De La Cruz, C.: Dynamic modeling and centralized formation control of mobile robots. In: 32nd Annual Conference of the IEEE Industrial Electronics Society IECON. Paris (2006)

  3. Chwa, D.: Sliding-mode tracking control of nonholonomic wheeled mobile robots in polar coordinates. IEEE Trans. Control Syst. Technol. 12(4), 637–644 (2004)

    Article  MathSciNet  Google Scholar 

  4. Edwards, Spurgeon, S.K.: Sliding Mode Control: Theory and Applications. Taylor & Francis, U.K (1998)

  5. Das, T., Kar, I.N.: Design and implementation of an adaptive fuzzy logic-based controller for wheeled mobile robots. IEEE Trans. Consum. Electron. 14(3), 501–510 (2006)

    Google Scholar 

  6. De Oliveira, V.M., De Pieri, E.R., Lages, W.F.: Obile robot control using sliding mode and neural network. In: Proceedings of the 7th IFAC Symposium on Robot Control, vol. 2, pp. 581–586. Elsevier, Wroclaw (2003)

    Google Scholar 

  7. Do, K.D., Jiang, Z.P., Pan, J.: A universal saturation controller design for mobile robots. In: Proceedings of the 41st IEEE Conference on Decision and Control, pp. 2044–2049. Las Vegas, NV, USA (2002)

  8. Dong W., Guo Y.: Dynamic tracking control of uncertain mobile robots. In: IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 2774–2779 (2005)

  9. Dong, W., Huo, W.: Tracking control of wheeled mobile robots with unknown dynamics. In: Proceedings of the IEEE International Conference on Robotics & Automation, pp. 2645–2650. Detroit, Michigan (1999)

  10. Feng, C.C.: Sliding-mode tracking control for uncertain mobile robots. In: 2012 IEEE International Conference on Systems, Man, and Cybernetics (SMC), pp. 61–66, 14–17 Oct 2012

  11. Fukao, T., Nakagawa, H., Adachi, N.: Adaptive tracking control of a mobile robot. IEEE Trans. Robot. Autom. 16(5), 609–615 (2000)

    Article  Google Scholar 

  12. Hamerlain, F., Achour, K., Floquet, T., Perruquetti, W.: Higher order sliding mode control of wheeled mobile robots in the presence of sliding effects. In: 44th IEEE Conference on Decision and Control, and the European Control Conference 2005, pp. 12–15. Seville, Spain, 12–15 December 2005

  13. Hung, L.C., Chung, H.Y.: Decoupled control using neural network-based sliding-mode controller for nonlinear systems. Expert Syst. Appl. Elsevier 32, 1168–1182 (2007)

    Article  Google Scholar 

  14. Kim, M.S., Shin, J.H., Lee, J.J.: Design of a robust adaptive controller for a mobile robot. In: Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 1816–1821 (2000)

  15. Künhe, F., Gomes, J., Fetter, W.: Mobile robot trajectory tracking using model predictive control II. In: IEEE Latin-American Robotics Symposium. São Luis, Brazil (2005)

  16. Li, Y., Wang, Z., Zhu, L.: Adaptive neural network PID sliding mode dynamic control of nonholonomic mobile robot. In: International Conference on Information and Automation (ICIA), pp. 753–757. IEEE (2010)

  17. Liu, S., Zhang H., Yang S.X., Yu J.: Dynamic control of a mobile robot using an adaptive neurodynamics and sliding mode strategy. In: Proceedings of the 5th World Congress on Intelligent Control and Automation, pp. 5007–5011. Hangzhou, China (2004)

  18. Liu, Y., Li, Y.: Sliding mode adaptive neural-network control for nonholonomic mobile modular manipulators. J. Intell. Robot. Syst. 44(3), 203–224 (2005)

    Article  Google Scholar 

  19. Mehrjerdi, H., Zhang, Y., Saad, M.: Adaptive exponential sliding mode control for dynamic tracking of a nonholonomic mobile robot. Intell. Robot. Appl. 643–652 (2012)

  20. Park, B.S., Yoo, S.J., Park, J.B., Choi, Y.H.: Adaptive neural sliding mode control of nonholonomic wheeled mobile robots with model uncertainty. IEEE Trans. Control Syst. Technol. 17(1), 207–214 (2009)

    Article  Google Scholar 

  21. Scaglia, G., Montoya, L.Q., Mut, V., di Sciascio, F.: Numerical methods based controller design for mobile robots. Robotica 27(2), 269–279 (2009)

    Article  Google Scholar 

  22. Slotine, J.-J.E., Li, W.: Applied Nonlinear Control. Prentice Hall, Upper Saddle River, NJ (1991)

  23. Sun, S.: Designing approach on trajectory-tracking control of mobile robot. Robot. Comput. Integr. Manuf. 21(1), 81–85 (2005)

    Article  Google Scholar 

  24. Utkin, V.I.: Sliding Modes in Control and Optimization. Springer-Verlag ISBN 978-0387535166 (1992)

  25. Wu, W., Chen, H., Wang, Y., Woo, P.: Adaptive exponential stabilization of mobile robots with uncertainties. In: Proceedings of the IEEE 38th Conference on Decision and Control, pp. 3484–3489. Phoenix, Arizona, USA (1999)

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Correspondence to Francisco G. Rossomando.

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Rossomando, F.G., Soria, C. & Carelli, R. Sliding Mode Neuro Adaptive Control in Trajectory Tracking for Mobile Robots. J Intell Robot Syst 74, 931–944 (2014). https://doi.org/10.1007/s10846-013-9843-5

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  • DOI: https://doi.org/10.1007/s10846-013-9843-5

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