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Prediction of Control of Overhead Cranes Executing a Prescribed Load Trajectory

  • Wojciech Blajer
  • Krzysztof Kolodziejczyk
Conference paper
Part of the Solid Mechanics and its Applications book series (SMIA, volume 130)

Abstract

Manipulating payloads with overhead cranes can be challenging due to the underactuated nature of the system — the number of control inputs/outputs is smaller than the number of degrees-of-freedom. The control outputs (desired load trajectory coordinates), expressed in terms of the system states, lead to control constraints on the system, and the governing equations arise as index five differential-algebraic equations, transformed then to an index three form. An effective numerical code for solving the resultant equations is used. The feedforward control law obtained this way is then extended by a closed-loop control strategy with feedback of the actual errors to provide stable tracking of the required reference load trajectories in presence of perturbations.

Key words

cranes dynamics control trajectory tracking differential-algebraic equations 

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References

  1. 1.
    Abdel-Rahman, E.M., Nayfeh, A.H. and Masoud, Z.N., Dynamics and control of cranes: A review. J. Vib. and Control 9, 863–908 (2003).Google Scholar
  2. 2.
    Blajer, W. and Kolodziejczyk, K., A geometric approach to solving problems of control constraints: Theory and a DAE framework. Multibody Syst. Dyn. 11(4), 343–364 (2004).CrossRefMathSciNetGoogle Scholar
  3. 3.
    Ascher, U.M. and Petzold, L.R., Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations, SIAM, Philadelphia (1998).Google Scholar
  4. 4.
    Blajer, W., A geometrical interpretation and uniform matrix formulation of multibody system dynamics. ZAMM 81(4), 247–259 (2001).CrossRefzbMATHMathSciNetGoogle Scholar
  5. 5.
    Fliess, M., Lévine, J., Martin, P. and Rouchon, P., Flatness and defect of nonlinear systems: Introductory theory and examples. Int. J. Control 21, 31–45 (1997).Google Scholar
  6. 6.
    Ostermayer, G.-P., On Baugarte stabilization for differential algebraic equations. In: Real-Time Integration Methods for Mechanical System Simulation, E.J. Haug and R.C. Deyo (eds.), NATO ASI Series, Vol. F69, Springer, Berlin, pp. 193–207 (1990).Google Scholar

Copyright information

© Springer 2005

Authors and Affiliations

  • Wojciech Blajer
    • 1
  • Krzysztof Kolodziejczyk
    • 1
  1. 1.Institute of Applied MechanicsTechnical University of RadomRadomPoland

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