Modelling and control of an overhead crane with a variable length flexible cable

Kamal A.F. Moustafa, Mohamed B. Trabia, Mohamed I.S. Ismail

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


This paper introduces a novel mathematical model that represents an overhead crane with flexible cable and load hoisting/lowering. The model includes the transverse vibrations of the flexible cable. Highly non-linear Partial Differential Equations and Ordinary Differential Equations that govern the motion of the crane system within the time-varying spatial domain are derived via calculus of variation and Hamilton's principle. A proportional derivative control scheme is applied to drive the underlying crane so that the cable and payload swing are damped out. Numerical simulations for the control performance of the considered system are presented for various operating conditions.

Original languageEnglish
Pages (from-to)216-228
Number of pages13
JournalInternational Journal of Computer Applications in Technology
Issue number3
Publication statusPublished - Mar 2009


  • Flexible cable
  • Overhead cranes
  • Proportional and derivative control
  • Variable-time modified galerkin method

ASJC Scopus subject areas

  • Software
  • Information Systems
  • Computer Science Applications
  • Computer Networks and Communications
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering


Dive into the research topics of 'Modelling and control of an overhead crane with a variable length flexible cable'. Together they form a unique fingerprint.

Cite this