DOI QR코드

DOI QR Code

Robust Control for Unknown Disturbance of Robotic System Using Prescribed Tracking Error Constraint Control and Finite-Time SMC

규정된 추종오차 구속제어와 유한시간 슬라이딩 모드 제어를 이용한 로봇시스템의 미지의 외란에 대한 강인제어

  • 류현제 (동명대학교 컴퓨터공학과) ;
  • 신동석 (동명대학교 컴퓨터공학과) ;
  • 한성익 (부산대학교 전자공학과)
  • Received : 2016.02.10
  • Accepted : 2016.03.15
  • Published : 2016.05.01

Abstract

This paper presents a robust finite-time sliding mode control (SMC) scheme for unknown disturbance and unmodeled nonlinear friction and dynamics in the robotic manipulator. A finite-time SMC (FSMC) surface and finite-time sliding mode controller are constructed to obtain faster error convergence than the conventional infinite-time based SMC. By adding prescribed constraint control term to a finite-time SMC to compensate for unknown disturbance and uncertainties, a robust control scheme can be designed as well as faster convergence control. In addition, simpler controller structure is built by using feed-forwarding upper bound coefficients of each manipulator dynamic parameters instead of model-based control or adaptive observer to estimate unknown manipulator parameters. Simulation and experimental evaluations highlight the efficacy of the proposed control scheme for an articulated robotic manipulator.

Keywords

References

  1. R. Kelly and R. Salgado, "PD control with computed feedback forward of robot manipulator," IEEE Trans. Robotics and Automation, vol. 10, pp. 566-571, 1992.
  2. M. W. Spong, S. Hutchison, and M. Vdyasagar, Robot Modeling and Control, John Wiley and Sons, 2006.
  3. V. Parra-Vega, S. Arimoto, Y. Liu, G. Hirzinger, and P. Akellas, "Dynamic sliding PID control for tacking of robot manipulators; Theory and Experiments," IEEE Trans. Robotics and Automation, vol. 19, no. 6, pp. 967-976, Dec. 2003. https://doi.org/10.1109/TRA.2003.819600
  4. K. D. Young, V. I. Utkin, and U. Ozguner, "A control engineer's guide to sliding mode control," IEEE Control System Technology, vol. 7, no. 3, May 1999.
  5. J. J. Slotine and W. Li, Applied Nonlinear Control, Prentice-Hall, Englewood Cliffs, New York, 1991.
  6. M. Kim, C. Woo, and J. M.. Lee, "Attitude control of a twowheeled mobile manipulator by using the location of the center of gravity and sliding mode controller," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 21, no. 8, pp. 758-765, 2015. https://doi.org/10.5302/J.ICROS.2015.14.0130
  7. J. Gil, D. Shin, Y. Lee, and C. Chung, "Velocity control of permanent magnet synchronous motors using nonlinear sliding manifold," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 12, no. 12, pp. 1136-1141, 2015.
  8. S. P. Bhat and D. S. Bernstein, "Finite-time stability of continuous autonomous systems," SIAM J. of Control and Optimization, vol. 38, pp. 751-766, 2000. https://doi.org/10.1137/S0363012997321358
  9. G. Bartolini, A. Ferrara, and E. Usai, "Chattering avoidance by second-order sliding mode control," IEEE Trans. Automatic Control, vol. 43, no. 2, pp. 379-384, 1998.
  10. A. Levant, "Principle of 2-sliding mode design," Automatica, vol. 43, no. 4, pp. 576-586, 2007. https://doi.org/10.1016/j.automatica.2006.10.008
  11. Y. Feng, X. Yu, and Z. Man, "Non-singular terminal sliding mode control of rigid manipulators," Automantica, vol. 38, pp. 2159-2167, 2002. https://doi.org/10.1016/S0005-1098(02)00147-4
  12. S. Yu, X. Yu, B. Shirinzadeh, and Z. Man, "Continuous finitetime control for robotic manipulators with terminal sliding mode control," Automatica, vol. 41, pp. 1957-1964, 2005. https://doi.org/10.1016/j.automatica.2005.07.001
  13. Y. Cho, Y. Lee, and P. Park, "Deign of extended terminal sliding mode control systems," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 17, no. 3, pp. 235-240, 2011.
  14. C. P. Benchlioilis and G. A. Rovithakis, "Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance," IEEE Trans. Automatic Control, vol. 53, no. 9, pp. 532-518, 2008.
  15. C. P. Benchlioilis and G. A. Rovithakis, "Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems," Automatica, vol. 45, pp. 532-538, 2009. https://doi.org/10.1016/j.automatica.2008.08.012
  16. W. Wang and C. Wen, "Adaptive actuator failure compensation control of uncertain nonlinear systems," Automatica, vo. 46, pp. 2082-2091, 2010. https://doi.org/10.1016/j.automatica.2010.09.006
  17. Z. P. Wang, S. S. Ge, and T. H. Lee, "Robust motion/force control of uncertain holonomic/nonholonomic mechanical systems," IEEE Trans. Mechatronics, vol. 9, no. 1, pp. 118-123, Mar. 2004. https://doi.org/10.1109/TMECH.2004.823887