Skip to main content
Log in

A Class of OFT Controllers for Torque-Saturated Robot Manipulators: Lyapunov Stability and Experimental Evaluation

  • Published:
Journal of Intelligent and Robotic Systems Aims and scope Submit manuscript

Abstract

The trajectory tracking of robot manipulators is addressed in this paper. Two important practical situations are considered: the fact that robot actuators have limited power, and that only position measurements are carried out. Let us notice that a few solutions for the torque-bounded OFT (output feedback tracking) control has been proposed. In this paper we contribute to this subject by presenting a class of OFT controllers for torque-constrained robots. The theory of singularly perturbed systems is crucial in the analysis of the closed-loop system trajectories. As a second contribution of this paper, we present a detailed experimental study of six control schemes, which were tested in a two degrees-of-freedom direct-drive robot, confirming the advantages of the proposed methodology.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Arteaga, M.A.: Robot control and parameter estimation with only joint position measurements. Automatica 39, 67–73 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  2. Canudas de Wit, C., Siciliano, B., Bastin, G. (eds.): Theory of Robot Control. Springer, London (1996)

    MATH  Google Scholar 

  3. Daly, J.M., Schwartz, H.M.: Experimental results for output feedback adaptive robot control. Robotica 24, 727–738 (2006)

    Article  Google Scholar 

  4. Dixon, W.E., de Queiroz, M.S., Dawson, D.M., Zhang, F.: Tracking control of robot manipulators with bounded torque inputs. In: Proc. of the IASTED International Conference on Robotics and Manufacturing, pp. 112–115. Banff, Canada, July (1998)

  5. Dixon, W.E., de Queiroz, M.S., Zhang, F., Dawson, D.M.: Tacking control of robot manipulators with bounded torque input. Robotica 17, 121–129 (1999)

    Article  Google Scholar 

  6. Dixon, W.E., Zergeroglu, E., Dawson, D.M.: Global robust output feedback tracking control of robot manipulators. Robotica 22(4), 351–357 (2004)

    Article  Google Scholar 

  7. Dixon, W.E.: Adaptive regulation of amplitude limited robot manipulators with uncertain kinematics and dynamics. IEEE Trans. Automat. Contr. 52(3), 488–493 (2007)

    Article  MathSciNet  Google Scholar 

  8. Glattfelder, A.H., Schaufelberger, W.: Control Systems with Input and Output Constraints. Springer, London (2003)

    MATH  Google Scholar 

  9. Hu, T., Lin, Z.: Control Systems with Actuator Saturation: Analysis and Design. Birkhauser, Boston (2001)

    MATH  Google Scholar 

  10. Kapila, V., Grigoriadis, K.M. (eds.): Actuator Saturation Control. Marcel Dekker, New York (2002)

    Google Scholar 

  11. Kelly, R., Santibáñez, V., Loría, A.: Control of Robot Manipulators in Joint Space. Springer, Berlin (2005)

    Google Scholar 

  12. Khalil, H.: Nonlinear Systems. Prentice-Hall, Upper Saddle River (1996)

    Google Scholar 

  13. Lee, K.W., Khalil, H.: Adaptive output feedback control of robot manipulators using high-gain observer. Int. J. Control 67(6), 869–886 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  14. Loría, A., Ortega, R.: On tracking control of rigids and flexible joint robots. Appl. Math. Comput. Sci. 5(2), 329–341 (1995)

    MATH  MathSciNet  Google Scholar 

  15. Loría, A., Nijmeijer, H.: Bounded output feedback tracking control of full actuated Euler–Lagrange systems. Syst. Control. Lett. 33, 151–161 (1998)

    Article  MATH  Google Scholar 

  16. Meza, J.L., Santibáñez, V., Hernández, V.M: Saturated nonlinear PID global regulator for robot manipulators: passivity based analysis. In: Proc. of 16th IFAC World Congress, pp. 3–8. Prague, July (2005)

  17. Melhem, K., Liu, Z., Loría, A.: A unified framework for dynamics and Lyapunov stability of holonomically constrained rigid bodies. Journal of Advanced Computational Intelligence and Intelligent Informatics 9, 387–394 (2005)

    Google Scholar 

  18. Ortega, R., Loría, A., Nicklasson, P.J., Sira-Ramirez, H.: Pasivity-Based Control of Euler–Lagrange Systems. Springer, London (1998)

    Google Scholar 

  19. Paden, B., Panja, R.: Globally asymptotically stable PD+ controller for robot manipulators. Int. J. Control 7(6), 1697–1712 (1988)

    Article  Google Scholar 

  20. Reyes, F., Kelly, R.: Experimental evaluation of identification schemes on a direct drive robot. Robotica 15, 563–571 (1997)

    Article  Google Scholar 

  21. Reyes, F., Kelly, R.: Experimental evaluation of model-based controllers on a direct-drive robot arm. Mechatronics 11, 267–282 (2001)

    Article  Google Scholar 

  22. Santibáñez, V., Kelly, R.: Strict Lyapunov functions for control of robot manipulators. Automatica 33(4), 675–682 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  23. Santibáñez, V., Kelly, R.: Global asymptotic stability of bounded output feedback tacking control for robot manipulators. In: 40th IEEE Conf. Decision and Control, pp. 1378–1379. Orlando, December (2001)

  24. Sciavicco, L., Siciliano, B.: Modeling and Control of Robot Manipulators. Springer, London (2000)

    Google Scholar 

  25. Takegaki, M., Arimoto, S.: A new feedback method for dynamic control of manipulators. ASME J. Dyn. Syst. Meas. Control 103, 119–125 (1981)

    Article  MATH  Google Scholar 

  26. Zavala-Río, A., Santibáñez V.: Simple extensions of the PD-with-gravity-compensation control law for robot manipulators with bounded inputs. IEEE Trans. Control Syst. Technol. 14(5), 958–965 (2006)

    Article  Google Scholar 

  27. Zavala-Río, A., Santibáñez V.: A natural saturating extension of the PD-control-with-desired-gravity-compensation for robot manipulators with bounded inputs. IEEE Trans. Robot. Autom. 23(2), 386–391 (2007)

    Google Scholar 

  28. Zergeroglu, E., Dawson, D.M., de Queiroz, M.S., Krstić, M.: On global output feedback tracking control of robot manipulators. In: Proc. of the IEEE Conference on Decision and Control, pp. 5073–5078. Sydney, Australia (2000)

  29. Zergeroglu, E., Dixon, W.E., Behal, A., Dawson: Adaptive set-point control of robotic manipulators with amplitude-limited control inputs. Robotica 18(2), 171–181 (2000)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Javier Moreno-Valenzuela.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Moreno-Valenzuela, J., Santibáñez, V. & Campa, R. A Class of OFT Controllers for Torque-Saturated Robot Manipulators: Lyapunov Stability and Experimental Evaluation. J Intell Robot Syst 51, 65–88 (2008). https://doi.org/10.1007/s10846-007-9181-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10846-007-9181-6

Keywords

Navigation