On dynamics and control for a system of conservation laws - the case of the overhead crane

@article{Bobasu2012OnDA,
  title={On dynamics and control for a system of conservation laws - the case of the overhead crane},
  author={Eugen Bobasu and Daniela Danciu and Dorin Popescu and Vl. Răsvan},
  journal={Proceedings of the 13th International Carpathian Control Conference (ICCC)},
  year={2012},
  pages={52-57}
}
It is considered a non-standard model for the overhead (gantry) crane where two basic simplifying assumptions are overruled: negligible distributed mass of the rope and negligible acceleration of the load mass with respect to the gravity acceleration. Especially the last assumption (valid at each time moment) is difficult to check theoretically. The model thus obtained completes a previous one and is described by a partial differential equation of hyperbolic type in one space variable, with… CONTINUE READING
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