A cart of mass M rolls along the axis OX of the overhead crane. Its position is denoted by x. It is actuated by a motor that produces a horizontal force of intensity F. Moreover, the cart carries a winch of radius ρ around which is winding a cable hoisting the load attached at its end. The position of the load in the fixed frame XOZ is denoted by (ξ ς) and its mass is m. The torque exerted on the winch by a second motor is denoted by C.
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© 2009 Springer-Verlag Berlin Heidelberg
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Lévine, J. (2009). Jets of Infinite Order, Lie-Bäcklund’s Equivalence. In: Analysis and Control of Nonlinear Systems. Mathematical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00839-9_5
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DOI: https://doi.org/10.1007/978-3-642-00839-9_5
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