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Experimental Control of a Two-Dof Flexible Robot Manipulator by Optimal and Sliding Methods

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Abstract

This paper presents an experimental study of a robust control scheme for flexible-link robotic manipulators. The design is based on a simple strategy for trajectory tracking which exploits the two-time scale nature of the flexible part and the rigid part of the dynamic equations of this kind of robotic arms: A slow subsystem associated with the rigid motion dynamics and a fast subsystem associated with the flexible link dynamics. Two experimental approaches are considered. In a first test an LQR optimal design strategy is used, while a second design is based on a sliding-mode scheme. Experimental results on a laboratory two-dof flexible manipulator show that this composite approach achieves good closed-loop tracking properties for both design philosophies, which compare favorably with conventional rigid robot control schemes.

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References

  1. Bai, M.L., Zhou, D.H., Schwarz, H.: Adaptive augmented state feedback control for an experimental planar two-link flexible manipulator. IEEE Trans. Robot. Autom. 14(6), 940–950 (1998)

    Article  Google Scholar 

  2. Barambones, O., Etxebarria, V.: Robust adaptive control for robot manipulators with unmodeled dynamics. Cyber. Syst. 31(1), 67–86 (2000)

    Article  MATH  Google Scholar 

  3. Canudas, C., de Wit, B., Siciliano, Bastin, G.: Theory of Robot Control. Europe: The Zodiac. Springer, Berlin Heidelberg New York (1996)

    Google Scholar 

  4. Kokotovic, P., Khalil, H.K., O’Reilly, J.: Singular perturbation methods in control. SIAM (1999)

  5. Li, Y., Tang, B., Zhi, Z., Lu, Y.: Experimental study for trajectory tracking of a two-link flexible manipulator. Int. J. Syst. Sci. 31(1), 3–9 (2000)

    Article  MATH  Google Scholar 

  6. Lizarraga, I., Etxebarria, V.: Combined PD-\(H_\infty\) approach to control of flexible manipulators using only directly measurable variables. Cyber. Syst. 34(1), 19–32 (2003)

    Article  MATH  Google Scholar 

  7. Moallem, M., Khorasani, K., Patel, R.V.: Inversion-based sliding control of a flexible-link manipulator. Int. J. Cont. 71(3), 477–490 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  8. Ravichandran, T., Pang, G.K.H., Wang, D.: Robust H-infinity optimal-control of a single flexible link. Cont. Theory Adv. Tech. 9(4), 887–908 (1993)

    MathSciNet  Google Scholar 

  9. Talebi, H.A., Khorasani, K., Patel, R.V.: Neural Network based control schemes for flexible–link manipulators: Simulations and experiments. Neural Netw. 11, 1357–1377 (1998)

    Article  Google Scholar 

  10. Vandegrift, M.W., Lewis, F.L., Zhu, S.Q.: Flexible-link robot arm control by a feedback linearization singular perturbation approach. J. Robot. Syst. 11(7), 591–603 (1994)

    Article  MATH  Google Scholar 

  11. Xu, J.X., Cao, W.J.: Direct tip regulation of a single-link flexible manipulator by adaptive variable structure control. Int. J. Syst. Sci. 32(1), 121–135 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  12. Yang, J.H., Lian, F.L., Fu, L.C.: Nonlinear adaptive control for flexible-link manipulators. IEEE Trans. Robot. Autom. 13(1), 140–148 (1997)

    Article  Google Scholar 

  13. Yesildirek, A., Vandegrift, M.W., Lewis, F.L.: A neural network controller for flexible-link robots. J. Intel. Robot. Syst. 17, 327–349 (1996)

    Article  Google Scholar 

  14. The Mathworks, Inc, Control System Toolbox. Natick, Massachusetts, (2002)

Download references

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Correspondence to V. Etxebarria.

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Sanz, A., Etxebarria, V. Experimental Control of a Two-Dof Flexible Robot Manipulator by Optimal and Sliding Methods. J Intell Robot Syst 46, 95–110 (2006). https://doi.org/10.1007/s10846-006-9041-9

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  • DOI: https://doi.org/10.1007/s10846-006-9041-9

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