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Two-time scale controller design for a high speed planar parallel manipulator with structural flexibility

Published online by Cambridge University Press:  06 September 2002

Bongsoo Kang ,
Benny Yeung  and
James K. Mills
Bongsoo Kang
Affiliation:
Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Road, Toronto, Ontario (Canada) M5S 3G8
Benny Yeung
Affiliation:
Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Road, Toronto, Ontario (Canada) M5S 3G8
James K. Mills*
Affiliation:
Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Road, Toronto, Ontario (Canada) M5S 3G8
*
*Corresponding Author: Professor James K. Mills, Department of Mechanical and Industrial Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario (Canada) M5S 3G8. [email protected]
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Summary

Planar parallel manipulators, with potential applications in high speed, high acceleration tasks such as electronic component placement, would be subject to mechanical vibration due to high inertial forces acting on the linkages and other components. To achieve high throughput capability, such motion induced vibration would have to be damped quickly, to reduce settling time of the platform position and orientation. This paper develops a two-time scale dynamic model of a three-degree-of-freedom planar parallel manipulator with structurally flexible linkages. Based on the two-time scale model, a composite controller, consisting of a computed torque controller for the slow time-scale or rigid body subsystem dynamics, and a linear-quadratic state-feedback regulator for the fast time-scale flexible dynamic subsystem, is designed. Simulation results show that the composite control scheme permits the parallel manipulator platform to follow a given desired trajectory, while damping structural vibration arising due to excitation from inertial forces.

Keywords

High speedPlanar parallel manipulatorStructural flexibilityComposite control
Type
Research Article
Information
Robotica , Volume 20 , Issue 5 , September 2002 , pp. 519 - 528
Copyright
Copyright © Cambridge University Press 2002

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References

1. Gosselin, C. and Angeles, J., “The Optimum Kinematic Design of a Planar Three-Degree-of-Freedom Parallel Manipulator”, ASMV J. Mechanisms, Transmissions, and Automation in Design 110(1), 35–41 (1998).CrossRefGoogle Scholar
2. Gosselin, C. M., Lemieux, S., and Merlet, J.-P., “A New Architecture of Planar Three-Degree-of-Freedom Parallel Manipulator”, Proc. IEEE Int. Conference on Robotics and Automation, Minneapolis, Minnesota (1996) pp. 3738–3743.Google Scholar
3. Kock, S. and Schmacher, W., “A Parallel X-Y Manipulator With Actuation Redundancy For High-Speed And Active- Stiffness Applications”, Proc. IEEE Int. Conference on Robotics and Automation, Leuven, Belgium (1998) pp. 2295–2300.Google Scholar
4. Merlet, J.-P., “Direct Kinematics of Planar Parallel Manipulators”, Proc. IEEE Int. Conference on Robotics and Automation, Minneapolis, Minnesota (1996) pp. 3744–3749.Google Scholar
5. Gosselin, C. and Angeles, J., “Singularity Analysis of Closed- Loop Kinematic Chains”, IEEE Trans. on Robotics and Automation 6(3), 281–290 (1990).CrossRefGoogle Scholar
6. Bonov, I. A. and Gosselin, C. M., “Singularity Loci of Planar Parallel Manipulators With Revolute Joints”, Proc. 2nd Workshop on Computational Kinematics (CK2001), Seoul, South Korea (2001) pp. 291–299.Google Scholar
7. Do, W. Q. D. and Yang, D. C. H., “Inverse Dynamic Analysis and Simulation of a Platform Type of Robot”, J. Robotic Systems 5(3), 209–227 (1988).CrossRefGoogle Scholar
8. Pang, H. and Shahinpoor, M., “Inverse Dynamics of a Parallel Manipulator”, J. Robotic Systems 11(8), 693–702 (1994).CrossRefGoogle Scholar
9. Yuan, B.-S., Lee, J. W. and Book, W. J., “Dynamic Analysis and Control of Lightweight Arms With a Parallel Mechanism”, Proc. USA-Japan Symp on Flexible Automation – Crossing Bridges: Advanced Flexible Automation and Robotics, Minneapolis, Minnesota (1988) pp. 369–374.Google Scholar
10. Fattah, A., Angeles, J. and Misra, A. K., “Dynamic of a 3-DOF Spatial Parallel Manipulator With Flexible Links”, Proc. IEEE Int. Conference on Robotics and Automation, Nagoya, Japan (1995) pp. 627–632.Google Scholar
11. Kang, B. and Mills, J. K., “Dynamic Modeling and Vibration Control of High Speed Planar Parallel Manipulator”, Proc. IEEE/RSJ Int. Conference on Intelligent Robots and Systems, Maui, Hawaii (2001) pp. 1287–1292.Google Scholar
12. Siciliano, B. and Book, W. J. “A Singular Perturbation Approach To Control of Lightweight Flexible Manipulators”, J. Robotics Research 7(4), 79–90 (1988).CrossRefGoogle Scholar
13. Siciliano, B., Prasad, J. V. R. and Calise, A. J., “Output Feedback Two-Time Scale Control of Multilink Flexible Arms”, ASME Journal of Dynamic Systems and Measurement, and Control 114, 70–77 (1992).CrossRefGoogle Scholar
14. Siciliano, B. and Villani, L., “Two-Time Scale Force and Position Control of Flexible Manipulators”, Proc. IEEE Int. Conference on Robotics and Automation, Seoul, South Korea (2001) pp. 2729–2739.Google Scholar
15. Matsuno, F. and Yamamoto, K., “Dynamic Hybrid Position/ Force Control of a Flexible Manipulator”, Proc. IEEE Int. Conference on Robotics and Automation, Atlanta, Georgia, NJ (1993) pp 462–467.Google Scholar
16. Stewart, D., “A Platform With Six Degrees of Freedom”, Proc. Institution of Mechanical Engineers 180(5), 371–378 (1965).CrossRefGoogle Scholar
17. Genta, G., Vibration of Structures and Machines (Springer-Verlag, New York, 1993).CrossRefGoogle Scholar
18. Khosla, P. K. and Kanade, T., “Real-Time Implementation and Evaluation of Computed Torque Scheme”, IEEE Trans. on Robotics and Automation 5(2), 245–253 (1989).CrossRefGoogle Scholar
19. Craig, J. J., Introduction to Robotics (Addison-Wesley Publishing Company, 1986).Google Scholar