On Output Feedback Tracking Control of Robot Manipulators with Bounded Torque Input

  • Published : 2008.02.28

Abstract

Motivated by the fact that in many industrial robots the joint velocity is estimated from position measurements, the trajectory tracking of robot manipulators with output feedback is addressed in this paper. The fact that robot actuators have limited power is also taken into account. Let us notice that few solutions for the torque-bounded output feedback tracking control problem have been proposed. In this paper we contribute to this subject by presenting a theoretical reexamination of a known controller, by using the theory of singularly perturbed systems. Motivated by this analysis, a redesign of that controller is introduced. As another contribution, we present an experimental evaluation in a two degrees-of-freedom revolute-joint direct-drive robot, confirming the practical feasibility of the proposed approach.

Keywords

References

  1. A. Loría and H. Nijmeijer, "Bounded output feedback tracking control of full actuated Euler-Lagrange systems," Systems and Control Letters, vol. 33, pp. 151-161, 1998 https://doi.org/10.1016/S0167-6911(97)80170-3
  2. A. A. J. Lefeber and H. Nijmeijer, "Globally bounded tracking controllers for rigid robot systems," Proc. of the 4th European Control Conference, Brussels, Belgium, 1997
  3. W. E. Dixon, M. S. de Queiroz, F. Zhang, and D. M. Dawson, "Tracking control of robot manipulators with bounded torque input," Robotica, vol. 17, pp. 121-129, 1999 https://doi.org/10.1017/S0263574799001228
  4. V. Santibáñez and R. Kelly, "Global asymptotic stability of bounded output feedback tacking control for robot manipulators," Proc. of the 40th IEEE Conference on Decision and Control, Orlando, FL, pp. 1378-1379, December 2001
  5. E. Aguinaga-Ruiz, Motion Control of Robot Manipulators with Bounded Inputs (in Spanish), M.Sc. Thesis, Instituto Potosino de Investigación Científica y Tecnológica, Mexico, September 2006
  6. E. Zergeroglu, D. M. Dawson, M. S. de Queiroz, and M. Krstic, "On global output feedback tracking control of robot manipulators," Proc. of the 39th IEEE Conference on Decision and Control, Sydney, Australia, pp. 5073-5078, December 2000
  7. M. A. Arteaga, "Robot control and parameter estimation with only joint position measurements," Automatica, vol. 39, pp. 67-73, 2003 https://doi.org/10.1016/S0005-1098(02)00166-8
  8. W. E. Dixon, E. Zergeroglu, and D. M. Dawson, "Global robust output feedback tracking control of robot manipulators," Robotica, vol. 22, no. 4, pp. 351-357, 2004 https://doi.org/10.1017/S0263574704000189
  9. K. Melhem, Z. Liu, and A. Loría, "A unified framework for dynamics and Lyapunov stability of holonomically constrained rigid bodies," Journal of Advanced Computational Intelligence and Intelligent Informatics, vol. 9, pp. 387-394, 2005 https://doi.org/10.20965/jaciii.2005.p0387
  10. B. Paden and R. Panja, "Globally asymptotically stable PD+ controller for robot manipulators," International Journal of Control, vol. 7, no. 6, pp. 1697-1712, 1988
  11. C. Canudas de Wit, B. Siciliano, and G. Bastin (Eds.), Theory of Robot Control, Springer-Verlag, London, 1996
  12. R. Ortega, A. Loría, P. J. Nicklasson, and H. Sira-Ramirez, Pasivity-Based Control of Euler-Lagrange Systems, Springer, London, 1998
  13. L. Sciavicco, B. Siciliano, Modeling and Control of Robot Manipulators, Springer, London, 2000
  14. R. Kelly, V. Santibanez, and A. Loria, Control of Robot Manipulators in Joint Space, Springer-Verlag, Berlin, 2005
  15. H. Khalil, Nonlinear Systems, Prentice-Hall, Upper Saddle River, 1996
  16. I. V. Burkov, "Stablization of a natural mechanical system without measuring its velocity with application to the control of a rigid body," Journal of Applied Mathematics and Mechanics, vol. 62, no. 2, pp. 853-862, 1998 https://doi.org/10.1016/S0021-8928(98)00109-9
  17. F. Reyes and R. Kelly, "Experimental evaluation of identification schemes on a direct drive robot," Robotica, vol. 15, pp. 563-571, 1997 https://doi.org/10.1017/S0263574797000659
  18. 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