DOI QR코드

DOI QR Code

Design of an RBFN-based Adaptive Tracking Controller for an Uncertain Mobile Robot

불확실한 이동 로봇에 대한 RBFN 기반 적응 추종 제어기의 설계

  • Shin, Jin-Ho (Department of Mechatronics Engineering, Dong-eui University) ;
  • Baek, Woon-Bo (Department of Mechatronics Engineering, Dong-eui University)
  • 신진호 (동의대학교 ICT공과대학 메카트로닉스공학과) ;
  • 백운보 (동의대학교 ICT공과대학 메카트로닉스공학과)
  • Received : 2014.10.01
  • Accepted : 2014.11.03
  • Published : 2014.12.01

Abstract

This paper proposes an RBFN-based adaptive tracking controller for an electrically driven mobile robot with parametric uncertainties and external disturbances. A mobile robot model considered in this paper includes all models of the robot body and actuators with uncertain kinematic and dynamic parameters, and uncertain frictions and external disturbances. The proposed controller consists of an RBFN(Radial Basis Function Network) and a robust adaptive controller. The presented RBFN is used to approximate unknown nonlinear robot dynamic functions. The proposed controller is adjusted by the adaptation laws obtained through the Lyapunov stability analysis. The proposed control scheme does not a priori need the accurate knowledge of all parameters in the robot kinematics, robot dynamics and actuator dynamics. Also, nominal parameter values are not required in the controller. The global stability of the closed-loop robot control system is guaranteed using the Lyapunov stability theory. Simulation results show the validity and robustness of the proposed control scheme.

Keywords

References

  1. Y. Kanayama, Y. Kimura, F. Miyazaki, and T. Noguchi, "A stable tracking control method for an autonomous mobile robot," Proc. of the IEEE International Conference on Robotics and Automation, USA, vol. 1, pp. 384-389, 13-18 May 1990.
  2. Y. Hu and S. X. Yang, "A fuzzy neural dynamics based tracking controller for a nonholonomic mobile robot," Proc. of the IEEE/ASME International Conference on Advanced Intelligent Mechatronics, vol. 1, pp. 205-210, 20-24 Jul. 2003.
  3. S. Blazic, "A novel trajectory-tracking control law for wheeled mobile robots," Robotics and Autonomous Systems, vol. 59, pp. 1001-1007, 2011. https://doi.org/10.1016/j.robot.2011.06.005
  4. Q. Xu, J. Kan, S. Chen, and S. Yan, "Fuzzy PID based trajectory tracking control of mobile robots and its simulation in simulink," International Journal of Control and Automation, vol. 7, no. 8, pp. 233-244, 2014.
  5. R.-J. Wai and C.-M. Liu, "Design of dynamic petri recurrent fuzzy neural network and its application to path-tracking control of nonholonomic mobile robot," IEEE Trans. on Industrial Electronics, vol. 56, no. 7, pp. 2667-2683, 2009. https://doi.org/10.1109/TIE.2009.2020077
  6. R. Fierro and F. L. Lewis, "Control of a nonholonomic mobile robot: backstepping kinematics into dynamics," Proc. of the IEEE International Conference on Decision and Control, USA, vol. 4, pp. 3805-3810, 13-15 Dec. 1995.
  7. J. Wu, D. Zhao, and W. Chen, "Globally stable adaptive tracking control of a wheeled mobile robot using RBF neural network as feedforward compensator," 25th Chinese Control and Decision Conference (CCDC), pp. 1888-1893, 2013.
  8. Z. Miao, Y. Wang, and Y. Yang, "Robust tracking control of uncertain dynamic nonholonomic systems using recurrent neural networks," Neurocomputing, vol. 142, pp. 216-227, Oct. 2014. https://doi.org/10.1016/j.neucom.2014.03.061
  9. R. Fierro and F. L. Lewis, "Control of a nonholonomic mobile robot using neural networks," IEEE Trans. on Neural Networks, vol. 9, no. 4, pp. 589-600, Jul. 1998. https://doi.org/10.1109/72.701173
  10. D. Chwa, "Fuzzy adaptive tracking control of wheeled mobile robots with state-dependent kinematic and dynamic disturbances," IEEE Trans. on Fuzzy Systems, vol. 20, no. 3, pp. 587-593, 2012. https://doi.org/10.1109/TFUZZ.2011.2176738
  11. O. Mohareri, R. Dhaouadi, and A. B. Rad, "Indirect adaptive tracking control of a nonholonomic mobile robot via neural networks," Neurocomputing, vol. 88, pp. 54-66, 2012. https://doi.org/10.1016/j.neucom.2011.06.035
  12. J.-H. Shin, W.-H. Kim, and M.-N. Lee, "Robust adaptive fuzzy tracking control using a FBFN for a mobile robot with actuator dynamics," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 16, no. 4, pp. 319-328, Apr. 2010. https://doi.org/10.5302/J.ICROS.2010.16.4.319
  13. N. A. Martins, D. W. Bertol, D. R. De Pieri, and E. B. Castelan, "Neural dynamic control of a nonholonomic mobile robot incorporating the actuator dynamics," Proc. of the International Conference on Computational Intelligence for Modelling Control & Automation, pp. 563-568, 10-12 Dec. 2008.
  14. T. Das and I. N. Kar, "Design and implementation of an adaptive fuzzy logic-based controller for wheeled mobile robots," IEEE Trans. on Control System Technology, vol. 14, no. 3, pp. 501-510, May 2006. https://doi.org/10.1109/TCST.2006.872536
  15. Z.-G. Hou, A.-M. Zou, L. Cheng, and M. Tan, "Adaptive control of an electrically driven nonholonomic mobile robot via backstepping and fuzzy approach," IEEE Trans. on Control System Technology, vol. 17, no. 4, pp. 803-815, Jul. 2009. https://doi.org/10.1109/TCST.2009.2012516
  16. B. S. Park, S. J. Yoo, J. B. Park, and Y. H. Choi, "A simple adaptive control approach for trajectory tracking of electrically driven nonholonomic mobile robots," IEEE Trans. on Control System Technology, vol. 18, no. 5, pp. 1199-1206, Sep. 2010. https://doi.org/10.1109/TCST.2009.2034639
  17. J.-H. Shin, "Robust adaptive fuzzy backstepping control for trajectory tracking of an electrically driven nonholonomic mobile robot with uncertainties," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 18, no. 10, pp. 902-911, Oct. 2012. https://doi.org/10.5302/J.ICROS.2012.18.10.902
  18. B. S. Park, S. J. Yoo, J. B. Park, and Y. H. Choi, "Adaptive output-feedback control for trajectory tracking of electrically driven non-holonomic mobile robots," IET Control Theory and Applications, vol. 5, no. 6, pp. 830-838, Apr. 2011. https://doi.org/10.1049/iet-cta.2010.0219
  19. K. Shojaei and A. M. Shahri, "Output feedback tracking control of uncertain non-holonomic wheeled mobile robots: A dynamic surface control approach," IET Control Theory and Applications, vol. 6, no. 2, pp. 216-228, Jan. 2012. https://doi.org/10.1049/iet-cta.2011.0169
  20. H.-N. Yen, T.-H. S. Li, and Y.-C. Chang, "Design of a robust neural network-based tracking controller for a class of electrically driven nonholonomic mechanical systems," Information Sciences, vol. 222, pp. 559-575, 2013. https://doi.org/10.1016/j.ins.2012.07.053
  21. J. Park and I. W. Sandberg, "Universal approximation using radial-basis-function networks," Neural Computation, vol. 3, no. 2, pp. 246-257, 1991. https://doi.org/10.1162/neco.1991.3.2.246