A robust input shaper for trajectory control of overhead cranes with non-zero initial states

Abstract

Different control schemes have been implemented over the last decade to suppress the overhead crane payload oscillation in rest-to-rest maneuvers. But in practice, the crane may not be at rest when a payload transition event is initiated. A generalized Zero Vibration with non-zero Initial Conditions (ZVIC) shaper is developed to generate optimal shaping commands for cranes with non-zero initial conditions. For any given set of initial states, this new shaper forces the system to minimize the residual oscillations. Compared to the conventional open-loop input shaping techniques, the proposed ZVIC can effectively reject crane vibrations induced by non-zero onset conditions. A comprehensive sensitivity analysis is performed for systems with different initial conditions and cable length settings. The results confirm that the proposed input shaping technique is insensitive to the initial states of the system.

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Correspondence to Abdullah Mohammed.

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Mohammed, A., Alghanim, K. & Andani, M.T. A robust input shaper for trajectory control of overhead cranes with non-zero initial states. Int. J. Dynam. Control 9, 230–239 (2021). https://doi.org/10.1007/s40435-020-00631-0

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Keywords

  • Input shaping
  • Shaped commands
  • Overhead crane
  • Non-zero initial conditions