Control of Rigid Robots Equipped with Brushed DC-Motors as Actuators

  • Published : 2007.12.31

Abstract

We extend the application of an adaptive controller previously introduced in the literature under the assumption that no actuator dynamics exists to the case when the dynamics of the brushed DC-motors used as actuators is not neglected. Convergence to the desired positions is ensured without requiring any feedback to cope with the additional electric dynamics. The proposed control scheme does not require the exact knowledge of neither robot nor actuator parameters to select controller gains.

Keywords

References

  1. A. Ailon, R. Lozano, and M. Gil', 'Iterative regulation of an electrically driven flexible-joint robot with model uncertainty,' IEEE Trans. on Robotics and Automation, vol. 16, no. 6, pp. 863-870, December 2000 https://doi.org/10.1109/70.897798
  2. T.-J. Tarn, A. K. Bejczy, X. Yun, and Z. Li, 'Effect of motor dynamics on nonlinear feedback robot arm control,' IEEE Trans. on Robotics and Automation, vol. 7, no. 1, pp. 114-122, February 1991 https://doi.org/10.1109/70.68075
  3. T. Burg, D. Dawson, J. Hu, and M. de Queiroz, 'An adaptive partial state-feedback controller for RLED robot manipulators,' IEEE Trans. on Automatic Control, vol. 41, no. 7, pp. 1024-1030, July 1996 https://doi.org/10.1109/9.508910
  4. A. Ailon, R. Lozano, and M. Gil', 'Point-topoint regulation of a robot with flexible joints including electrical effects of actuator dynamics,' IEEE Trans. on Automatic Control, vol. 42, no. 4 , pp. 559-564, April 1997 https://doi.org/10.1109/9.566669
  5. M. S. Mahmoud, 'Robust control of robot arms including motor dynamics,' Int. J. of Control, vol. 58, pp. 853-873, 1993 https://doi.org/10.1080/00207179308923032
  6. R. Colbaugh and K. Glass, 'Adaptive regulation of rigid-link electrically-driven manipulators,' Proc. of IEEE International Conference on Robotics and Automation, pp. 293-299, 1995
  7. R. Kelly, 'Comments on 'Adaptive PD Controller for Robot Manipulators',' IEEE Trans. on Robotics and Automation, vol. 9, no. 1, pp. 117-119, February 1993 https://doi.org/10.1109/70.210803
  8. A. Astolfi and R. Ortega, 'Immersion and invariance: A new tool for stabilization and adaptive control of nonlinear systems,' IEEE Trans. on Automatic Control, vol. 48, no. 4, pp. 590-606, April 2003 https://doi.org/10.1109/TAC.2003.809820
  9. R. Ortega, A. Loría, and R. Kelly, 'A semiglobally stable output feedback $PI_2D$ regulator for robot manipulators,' IEEE Trans. on Automatic Control, vol. 40, no. 8, pp. 1432-1436, August 1995 https://doi.org/10.1109/9.402235
  10. R. Kelly, V. Santibanez, and A. Loria, Control of Robot Manipulators in Joint Space, Springer, London, 2005
  11. F. Reyes and R. Kelly, 'Experimental evaluation of model-based controllers on a direct-drive robot arm,' Mechatronics, vol. 11, pp. 267-282, 2001 https://doi.org/10.1016/S0957-4158(00)00008-8
  12. Baldor Electric Company, Catalog BR1202, BALDOR Motion Products: Servo, Linear and Motion Control Products, P.O. Box 2400, Forth Smith AR 72902-2400 USA, http://www.baldor.com, 2002
  13. A. Loría, E. Lefeber, and H. Nijmeijer, 'Global asymptotic stability of robot manipulators with linear PID and $PI_2D$ control,' Stability and Control: Theory and applications (SACTA), vol. 3, no. 2, pp. 138-149, 2000