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Nonlinear controllers for underactuated cooperative manipulators

Published online by Cambridge University Press:  15 January 2007

A. A. G. Siqueira  and
M. H. Terra
A. A. G. Siqueira
Affiliation:
University of São Paulo at São Carlos, Mechanical Engineering Department, São Carlos, SP 13566-590, Brazil E-mail: siqueira@sc.usp.br
M. H. Terra*
Affiliation:
University of São Paulo at São Carlos, Electrical Engineering Department, São Carlos, SP 13566-590, Brazil
*
*Corresponding author. E-mail: terra@sel.eesc.usp.br
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Summary

In this paper, two nonlinear control techniques are used to solve the position control problem of underactuated cooperative manipulators. The first technique consists in representing the nonlinear system in a quasi-linear parameter varying form and the solution is given in terms of linear matrix inequalities. The second technique gives an explicit solution to the cooperative manipulators control problem. The control of the squeeze force between the manipulator end-effectors and the object is also evaluated. Results obtained from an actual cooperative manipulator, which is able to work as a fully actuated and an underactuated manipulator, are presented.

Keywords

Nonlinear H∞ controlUnderactuated cooperative manipulators
Type
Article
Information
Robotica , Volume 25 , Issue 4 , July 2007 , pp. 425 - 432
Copyright
Copyright © Cambridge University Press 2007

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References

1. Wen, T. and Kreutz-Delgado, K., “Motion and force control for multiple robotics manipulators,” Automatica 28 (4), 729–743 (1992).CrossRefGoogle Scholar
2. Lian, K. Y., Chiu, C. S. and Liu, P., “Semi-descentralized adaptive fuzzy control for cooperative multirobot systems with H∞ motion/force tracking performance,” IEEE Trans. Syst., Man Cybern.—Part B: Cybern. 32 (3), 269–280 (2002).CrossRefGoogle Scholar
3. McClamroch, N. H. and Wang, D., “Feedback stabilization and tracking of constrained robots,” IEEE Trans. Autom. Control 33 (5), 419–426 (1988).Google Scholar
4. Wu, F., Yang, X. H., Packard, A. and Becker, G., “Induced L2-norm control for LPV systems with bounded parameter variation rates,” Int. J. Robust Nonlinear Control 6, 983–998 (1996).3.0.CO;2-C>CrossRefGoogle Scholar
5. Chen, B. S., Lee, T. S. and Feng, J. H., “A nonlinear H∞ control design in robotic systems under parameter perturbation and external disturbance,” Int. J. Control 59 (2), 439–461 (1994).Google Scholar
6. Siqueira, A. A. G. and Terra, M. H., “Nonlinear and Markovian H∞ controls of underactuated manipulators,” IEEE Trans. Control Syst. Technol. 12 (6), 1–16 (2004)Google Scholar
7. Tinós, R and Terra, M. H., “Control of Cooperative Manipulators with Passive Joints,” Proceedings of the American Control Conference 2002, Anchorage, AK (2002) pp. 1129–1134.Google Scholar
8. Tinós, R. and Terra, M. H., “Motion and force control of cooperative robotic manipulators with passive joints,” IEEE Trans. Control Syst. Technol. 14 (4), 725–734 (2006).CrossRefGoogle Scholar
9. Huang, Y. and Jadbabaie, A., “Nonlinear H∞ Control: An Enhanced Quasi-LPV Approach,” In: Workshop in H∞ Nonlinear Control (Doyle, J. C., ed.) Caltech, IEEE International Conference on Decision and Control, Tampa, FL (1998).Google Scholar