Hybrid Controller for a Single Flexible Link Manipulator

Main Article Content

Waladin K. Sa'id
Bahaa I. Kazem
Alya'a M. Manaty

Abstract

In this study, the dynamic modeling and step input tracking control of single flexible link is studied. The Lagrange-assumed modes approach is applied to get the dynamic model of a planner single link manipulator. A Step input tracking controller is suggested by utilizing the hybrid controller approach to overcome the problem of vibration of tip position through motion which is a characteristic of the flexible link system. The first controller is a modified version of the proportional-derivative (PD) rigid controller to track the hub position while sliding mode (SM) control is used for vibration damping. Also, a second controller (a fuzzy logic based proportional-integral plus derivative (PI+D) control scheme) is developed for both vibration damping and hub position tracking. A comparison is made between the performances of these two controllers. The Hybrid controller with PD and SM shows better tracking behavior than obtained from the suggested fuzzy (PI+D)2 controller for a single link flexible manipulator.

Article Details

How to Cite
“Hybrid Controller for a Single Flexible Link Manipulator” (2012) Journal of Engineering, 18(11), pp. 1242–1254. doi:10.31026/j.eng.2012.11.05.
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Articles

How to Cite

“Hybrid Controller for a Single Flexible Link Manipulator” (2012) Journal of Engineering, 18(11), pp. 1242–1254. doi:10.31026/j.eng.2012.11.05.

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References

Alwan A. Adel, Kazem I. Bahaa, Hussein T. Mustafa “Modeling and Trajectory Control of Planar Flexible Robot Arm”, UOB Journal of applied and pure scinces, Vol. 15 No.4, pp. 1818-1826, 2008.

Azad, A. K. M., Tokhi M. O., and Anand N. , "Teaching of Control for Complex Systems Through Simulation," Proceedings of the 2003

ASEE/WFEO International Colloquium, American Society for Engineering Education, 2003.

Benati, M., and Morro A., "Formulation of Equations of Motion for a Chain of Flexible Links Using Hamilton's Principle," ASME Journal of Dynamic Systems, Measurements, and Control, vol. 116, pp. 81-88, 1994.

Book, W. J., "Modeling, Design, And Control Of Flexible Manipulator Arms: A Tutorial Review," Proceedings of the 29th IEEE Conference on Decision and Control, pp. 500-506, Dec. 1990.

Book, W.J., Maizz-Neto O., and Whitney D.E., "Feedback Control of Two Beam, Two Joint Systems with Distributed Flexibility," ASME Journal of Dynamic Systems, Measurements, and Control, vol. 97, pp. 424-431, 1975.

Boyer, F., and Coiffet,P. “Generalisation Of Newton-Euler Model For Flexible Manipulators,” Journal of Robotic Systems, vol. 13, no. 1, pp. 11-24, 1996.

Chapnik, B. V., Heppler G. R., and Aplevich J. D., "Modeling Impact On A One-Link Flexible Robotic Arm," IEEE Transactions on Robotics and Automation, vol. 7, no. 4, August 1991.

De Luca, A., and Siciliano B., "Closed-Form Dynamic Model Of Planar Multilink Lightweight Robots," IEEE Transactions on Systems, Man, and Cybernetics, vol. 21, no. 4, pp.826-839, 1991.

De Luca, A., Lucibello P., and Ulivi G., "Inversion Techniques For Trajectory Control Of Flexible Robot Arms," Journal of robotic systems, vol. 6, no. 4, pp. 325-344, 1989.

Geniele, H., Patel R. V., and . Khorasani K, "EndPoint Control Of A Single Link Flexible Manipulator: Theory And Experiments," IEEE Transactions on Control Systems Technology, vol. 5, no. 6, 556-560, 1997.

Hastings, G. G., and Book W. J., "A Linear Dynamic Model For Flexible Robot Manipulators," IEEE Control Systems Magazine, pp. 61-64, February 1987.

Kwatny, H. G., and Siu T. L., “Chattering in Variable Structure Feedback Systems,” Proceedings of IFAC 10th World Conference, vol. 8, pp. 307-314, 1987.

Manaty, A. M., "Hybrid Controller For A Flexible Link Robot Manipulator", Ph.D. thesis, University of technology, control and systems dept., Nov. 2008.

Natarajan, K., Yu S., and Karray F., "Modeling And Control Design For A Flexible-Link Manipulator" IEEE Canadian Conference on Electrical and Computer Engineering, vol. 1, pp. 117-120, issue 24-28 May 1998.

Nguyen, T. V. M., Ha Q. P. and Nguyen H. T., ”A Chattering-Free Variable Structure Controller for Tracking of Robotic Manipulators,” Faculty of Engineering, University of Technology, Sydney, 2003.

Quang, N. H., ”Robust Low Level Control of Robotic Excavation,” Ph.D., Thesis, Australian Centre for Field Robotics, University of Sydney, Mar. 2000.

Singh, S. N., and Schy A. A., "Control of Elastic Robotic Systems by Nonlinear Inversion and Modal Damping," ASME Journal of Dynamic Systems, Measurements, and Control, vol. 108, pp. 180-189, 1986

Sooraksa, P., and Chen G., ”Mathematical Modeling and Fuzzy Control of a Flexible-Link Robot Arm,” Mathematical Computation and Modelling, vol. 27, no. 6, pp. 73-93, 1998.

Spong, M. and Vidyasagar M., "Robot Dynamics and Control," McGraw-Hill, 1989.

Talebi, H. A., "Neural Network-Based Control of Flexible-Link Manipulators," Ph. D. thesis, Concordia University, Montréal, Québec, Canada, 1997.

Tang K. S., Man K. F. , Chen G. and Kwong S, “ An optimal fuzzy PID controller”, IEEE Transaction on industrial Electronics , Vol.48, No. 4, pp 757-765, Aug. 2001.

Tang, Y., Sun F., Sun Z., "Neural Network Control Of Flexible-Link Manipulators Using Sliding Mode," Neurocomputing, no. 70, pp. 288–295, 2006.

Thomson, W. T., "Theory Of Vibration With Applications," Prentice-Hall Inc., Englewood Cliffs, N. J., 2nd edition. 1981.

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