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Bang bang motion control of a Cartesian crane

Published online by Cambridge University Press:  09 March 2009

R. M. DeSantis  and
S. Krau
R. M. DeSantis
Affiliation:
Génie Electrique et Génie Informatique, Ecole Polytechnique de Montréal, Montréal (Canada) H3C 3A 7
S. Krau
Affiliation:
Génie Electrique et Génie Informatique, Ecole Polytechnique de Montréal, Montréal (Canada) H3C 3A 7
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Summary

A motion controller for an overhead Cartesian crane in three-dimensional Euclidean (3-D) space is designed under the constraint that the control action belong to a discrete set of assigned values. The design approach rests upon a two-step procedure: first, a constraintfree motion controller is determined that satisfies the required dynamic specifications; second, this controller is replaced with an equivalent controller satisfying the discrete action constraint. The first step is implemented by means of a heuristic 3-D extension of a well-proven 2-D controller, the second step by applying recent sliding mode results. Numerical simulations illustrate the properties of the resulting feedback system under both nominal and perturbed operating conditions.

Keywords

FeedbackMotion controlOverhead craneSliding mode
Type
Article
Information
Robotica , Volume 12 , Issue 5 , September 1994 , pp. 449 - 454
Copyright
Copyright © Cambridge University Press 1994

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References

1.Ridout, A.J., “Anti-Swing Control of the Overhead Crane Using Linear FeedBack” J. IEEE-Australia 9, No. 1/2, 17–26 (1989).Google Scholar
2.Sakawa, Y. & Shindo, Y., “Optimal Control of Container Cranes” Automatica 18, No. 3, 257–266 (1982).CrossRefGoogle Scholar
3.Kamal, A.F. Moustafa & Ebeid, A.M., “Nonlinear Modeling and Control of an Overhead Crane Load Sway” J. Dynamic Systems Measurement and Control 110, 266–271 (1988).Google Scholar
4.Hurteau, R. & DeSantis, R.M., “Microprocessor Based Adaptive Control of a Crane System” 22nd IEEE DCC Conference,San Antonio,Texas (1983) pp. 944–948.Google Scholar
5.Li, W. & Cheng, X., “Computer Control of High Speed Cranes” Proc. American Control Conference,San Francisco, California(1993) pp. 2562–2565.Google Scholar
6.Soussi, R. & Koivo, A.J., “Adaptive Control of Cranes” Proc. 12th IF AC World Congress, Sydney, Australia 8 (1993) pp. 237–240.Google Scholar
7.Yasonobu, S. & Hasegawa, T., “Evaluation of an Automatic Container Crane Operation System Based on Predictive Fuzzy Control” In; Control Theory and Advanced Technology, Vol. 2, No. 3, 419–432 (Mita Press, Tokyo 1986).Google Scholar
8.Slotine, J.J., Li, W., Applied Nonlinear Control, Prentice Hall, Englewood Cliffs, N.J., USA (1991).Google Scholar
9.Tsypkin, Y.Z., Relay Control Systems (Cambridge Press, New York, 1984).Google Scholar
10.Pontryagin, L.S. et al. , The Mathematical Theory of Optimal Processes (Interscience Publishers, New York, 1962).Google Scholar
11.DeCarlo, R.A., Zak, S.H. & Matthews, G.P., “Variable Structure Control of Nonlinear Multivariable Systems: A Tutorial” Proc. of the IEEE 76, No. 3, 212–232 (1988).CrossRefGoogle Scholar
12.Utkin, V.I., Sliding Modes in Control Optimization (Springer-Verlag, Berlin, 1981).Google Scholar
13.Balestrino, A., De Maria, G. & Zinober, A.S.I., “Nonlinear Adaptive Model following control” Automatica 20, No. 5, 559–568 (1984).CrossRefGoogle Scholar
14.Buhler, H., Reglage Par Mode de Glissement (Presses Polytechniques Romandes. Lausanne, Switzerland, 1986).Google Scholar
15.DeSantis, R.M., “The Implementation of a Continuous Controller Via a Discrete Valued Controller” J. Dynamic Systems Measurement and Control 115, 400–406 (1992).Google Scholar
16.DeSantis, R.M. et al. , “On the Sliding Mode Control of an Overhead Crane” Proc. CCECE Conference(1990) pp. 26.3.1–26.3.5.Google Scholar
17.Krau, S., “Discrete Implementation of the Continuous Control of an Overhead Crane in 3-D Space” M.Sc.A. Thesis (Ecole Polytechnique de Montreal, Fall 1991).Google Scholar