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.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
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)
Barambones, O., Etxebarria, V.: Robust adaptive control for robot manipulators with unmodeled dynamics. Cyber. Syst. 31(1), 67–86 (2000)
Canudas, C., de Wit, B., Siciliano, Bastin, G.: Theory of Robot Control. Europe: The Zodiac. Springer, Berlin Heidelberg New York (1996)
Kokotovic, P., Khalil, H.K., O’Reilly, J.: Singular perturbation methods in control. SIAM (1999)
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)
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)
Moallem, M., Khorasani, K., Patel, R.V.: Inversion-based sliding control of a flexible-link manipulator. Int. J. Cont. 71(3), 477–490 (1998)
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)
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)
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)
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)
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)
Yesildirek, A., Vandegrift, M.W., Lewis, F.L.: A neural network controller for flexible-link robots. J. Intel. Robot. Syst. 17, 327–349 (1996)
The Mathworks, Inc, Control System Toolbox. Natick, Massachusetts, (2002)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10846-006-9041-9