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Intelligent Sliding Mode Control for Robots Systems with Model Uncertainties

모델 불확실성을 가지는 로봇 시스템을 위한 지능형 슬라이딩 모드 제어

  • 유성진 (연세대학교 전기전자공학과) ;
  • 최윤호 (경기대학교 전자공학부) ;
  • 박진배 (연세대학교 전기전자공학과)
  • Published : 2008.10.01

Abstract

This paper proposes an intelligent sliding mode control method for robotic systems with the unknown bound of model uncertainties. In our control structure, the unknown bound of model uncertainties is used as the gain of the sliding controller. Then, we employ the function approximation technique to estimate the unknown nonlinear function including the width of boundary layer and the uncertainty bound of robotic systems. The adaptation laws for all parameters of the self-recurrent wavelet neural network and those for the reconstruction error compensator are derived from the Lyapunov stability theorem, which are used for an on-line control of robotic systems with model uncertainties and external disturbances. Accordingly, the proposed method can not only overcome the chattering phenomenon in the control effort but also have the robustness regardless of model uncertainties and external disturbances. Finally, simulation results for the five-link biped robot are included to illustrate the effectiveness of the proposed method.

Keywords

References

  1. D. Chwa 'Sliding-mode tracking control of nonholonomic wheeled mobile robots in polar coordinates,' IEEE Trans. Control System Technology, 12, (4), pp. 637-644, 2004 https://doi.org/10.1109/TCST.2004.824953
  2. S. Tzafestas, M. Raibert, and C. Tzafestas, 'Robust slidingmode control applied to a 5-link biped robot,' Jour. of Intelligent and Robotic Systems, 15, pp. 67-133, 1996 https://doi.org/10.1007/BF00435728
  3. X. Mu and Q. Wu, 'Development of a complete dynamic model of a planar five-link biped and sliding mode control of its locomotion during the double support phase,' Int. Jour. of Control, 77, (8), pp. 789-799, 2004 https://doi.org/10.1080/00207170410001705005
  4. S. G. Tzafestas, T. E. Krikochoritis, and C. S. Tzafestas, 'Robust sliding-mode control of nine-link biped robot walking,' Jour. of Intelligent and Robotic Systems, 20, pp. 375-402, 1997 https://doi.org/10.1023/A:1007924731253
  5. J. J. E. Slotine and S. S. Sastry, 'Tracking control of nonlinear systems using sliding surface with application to robot manipulator,' Int. Jour. of Control, 38, pp. 465-492, 1983 https://doi.org/10.1080/00207178308933088
  6. C. Y. Su and T. P. Leung, 'A sliding mode controller with bound estimation for robot manipulators,' IEEE Trans. Robotics and Automation, 9, (2), pp. 208-214, 1993 https://doi.org/10.1109/70.238284
  7. H. K. Khalil, Nonlinear Systems, Upper Saddle River, NJ: Prentice-Hall, 1996
  8. J. J. E. Slotine and W. Li, Applied Nonlinear Control, Englewwod Cliffs, NJ: Prentice-Hall, 1991
  9. C. L. Hwang, 'Sliding mode control using time-varying switching gain and boundary layer for electrohydraulic position and differential pressure control,' IEE Proc. Control Theory and Application, 143, (4), pp. 325-332, 1996
  10. R. J. Wai and J. M. Chang, 'Implementation of robust waveletneural-network sliding-mode control for induction servo motor drive,' IEEE Trans. Industrial Electronics, 50, (6), pp. 1317-1334, 2003 https://doi.org/10.1109/TIE.2003.819570
  11. J. J. E. Slotine and S. S. Sastry, 'Tracking control of nonlinear systems using sliding surface with application to robot manipulator,' Int. Jour. of Control, 38, pp. 465-492, 1983 https://doi.org/10.1080/00207178308933088
  12. S. J. Yoo, J. B. Park, and Y. H. Choi, 'Indirect adaptive control of nonlinear dynamic systems using self recurrent wavelet neural network via adaptive learning rates,' Information Sciences, vol. 177, no. 15, pp. 3074-3098, 2007 https://doi.org/10.1016/j.ins.2007.02.009
  13. E. Kim, 'Output feedback tracking control of robot manipulators with model uncertainty via adaptive fuzzy logic,' IEEE Trans. Fuzzy Systems, 12, (3), pp. 368-378, 2004 https://doi.org/10.1109/TFUZZ.2004.825062
  14. F. J. Lin, T. S. Lee, and C. H. Lin, 'Robust $H_{\infty}$ controller design with recurrent neural network for linear synchronous motor drive,' IEEE Trans. Industrial Electronics, 50, (3), pp. 456-470, 2003 https://doi.org/10.1109/TIE.2003.809394
  15. C. Y. Lee and J. J. Lee, 'Multiple neuro-adaptive control of robot manipulators using visual cues,' IEEE Trans. Industial Electronics, 52, (1), pp. 320-326, 2005 https://doi.org/10.1109/TIE.2004.841080
  16. J. B. Pomet and L. Praly, 'Adaptive nonlinear regulation: estimation from lyapunov equation,' IEEE Trans. Automatic Control, 37, (6), pp. 729-740, 1992 https://doi.org/10.1109/9.256328
  17. K. S. Narendra and A. M. Annaswamy, 'A new adaptive law for robust adaptation without persistent excitation,' IEEE Trans. Automatic Control, 32, (2), pp. 134-145, 1987 https://doi.org/10.1109/TAC.1987.1104543
  18. H. K. Lum, M. Zribi and Y. C. Soh, 'Planning and control of a biped robot,' Int. Jour. of Engineering Science, 37, (10), pp. 1319-1349, 1999 https://doi.org/10.1016/S0020-7225(98)00118-9