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Nonlinear Control of a Gantry Crane

Authors: Bernd Kolar; Kurt Schlacher;

Nonlinear Control of a Gantry Crane

Abstract

This paper treats the nonlinear control of a laboratory model of a gantry crane, where a trolley can be moved on a rail and the load is fixed at the end of a rope of variable length. The system is differentially flat, and the coordinates of the load, which also are the variables to be controlled, are a flat output. This fact allows us to determine a feedforward control law in a straightforward manner. Because of friction, the results achievable by a pure feedforward law are, as expected, not satisfying. This does not apply to the “pendulum subsystem”, with the position of the trolley and the length of the rope as input, since it is almost free of friction. Therefore, a feedforward control for the “pendulum subsystem” is designed such that it shows an excellent tracking behavior. Finally, cascaded control is used for the guidance of the overall system.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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