Analysis of Stability for Overhead Crane Systems

천정 크레인시스템의 안정성 해석

  • 반갑수 (상주대학교 자동차공학과) ;
  • 이광호 (상주대학교 자동차공학과) ;
  • 모창기 (상주대학교 자동차공학과) ;
  • 이종규 (상주대학교 자동차공학과)
  • Published : 2005.04.01

Abstract

Overhead crane systems consist of trolley, girder, rope, objects, trolley motor, girder motor, and hoist motor. The dynamic system of these systems becomes a nonlinear state equations. These equations are obtained by the nonlinear equations of motion which are derived from transfer functions of driving motors and equations of motion for objects. From these state equations, Lyapunov functions of overhead crane systems are derived from integral method. These functions secure stability of autonomous overhead crane systems. Also constraint equations of driving motors of trolley, girder, and hoist are derived from these functions. From the results of computer simulation, it is founded that overhead crane systems is secure.

Keywords

References

  1. Park, Byung-Suk, Yoon, Ji-Sup and Kang, E-Sok, 'Model-Following Time Delay Controller with Modified Error Feedback Controller,' Journal of the Korean Society of Precision Engineering, Vol. 17, No. 12, pp. 176-184, 2000
  2. Kim, Young-Bok, 'A Study on the Sway Control of a Crane Based on Gain-Scheduling Approach,' Journal of the Korean Society of Precision Engineering, Vol. 18, No. 7, pp. 53-64, 2001
  3. Lee, Ho-Hoon, Jeon, Jong-Hag and Choi, Seung-Gap, 'A Nonlinear Model - Based Anti-Swing Control for Overhead Cranes with High Hoisting Speeds,' Transactions of the KSME A, Vol. 25, No. 9, pp.1461-1467, 2001
  4. Park, Un-Hwan, Lee, Jae-Won, Noh, Sang-Hyun, Yoon, Ji-Sup and Park, Byung-Suk, 'Control of the Residual Vibration of Crane Using Equivalent Input Shaper,' Journal of the Korean Society of Precision Engineering, Vol. 19, No. 1, pp. 135-142, 2002
  5. Park, Kyoung-Taik, 'Intelligent Technology of Port Logistics System,' Journal of the Korean Society of Precision Engineering, Vol. 19, No. 2, pp. 41-48, 2002
  6. Brogan, W. L., 'Modern Control Theory,' Prentice-Hall, 1991
  7. Chin, P. S. M., 'A General Method To Derive Lyapunov Functions for Non-linear Systems,' International Journal of Control, Vol. 44, No. 2, pp.381-393, 1986 https://doi.org/10.1080/00207178608933606