Nonlinear Control of a Gantry Crane System with Limited Payload Angle
International Journal of Electrical and Electronics Engineering |
© 2018 by SSRG - IJEEE Journal |
Volume 5 Issue 8 |
Year of Publication : 2018 |
Authors : Nguyen Huu Hai, Nguyen Dang Toan, Nguyen Ba Kha, Mai The Thang and Tran Thi Hong Tham |
How to Cite?
Nguyen Huu Hai, Nguyen Dang Toan, Nguyen Ba Kha, Mai The Thang and Tran Thi Hong Tham, "Nonlinear Control of a Gantry Crane System with Limited Payload Angle," SSRG International Journal of Electrical and Electronics Engineering, vol. 5, no. 8, pp. 6-10, 2018. Crossref, https://doi.org/10.14445/23488379/IJEEE-V5I8P102
Abstract:
The paper deals with tracking and vibration suppression problem of a gantry system. Based on flatness property of the gantry, a controller that ensures zero tracking error of the payload and minimizes payload fluctuation is designed. In addition, a PI controller is integrated to the system to drive the payload-swinging angle to a certain range. Numerical simulations are also given to prove the effectiveness of the proposed controller.
Keywords:
Flatness control, Reference generation, Gantry crane, PI control.
References:
[1] R. Blevins, Formulas for Natural Frequency and Mode Shape. New York, NY: Van Nostrand Reinhold Co., 1979.
[2] W. Singhose, D. Kim, and M. Kenison, “Input shaping control of double-pendulum bridge crane oscillations,” Journal of Dynamic Systems, Measurement, and Control, vol. 130, no. 3, pp. 1 – 7, May 2008.
[3] R. Manning, J. Clement, D. Kim, and W. Singhose, “Dynamics and control of bridge cranes transporting distributed-mass payloads,” J. Dyn. Syst. Meas. Control (USA), vol. 132, no. 1, pp. 014 505 (8 pp.), 2010/01/.
[4] D. Kim and W. Singhose, “Performance studies of human operators driving double-pendulum bridge cranes,” in Control Engineering Practice, vol. 18, no. 6, pp. 567 – 576, 2010.
[5] Y. Fang, W. Dixon, D. Dawson, and E. Zergeroglu, “Nonlinear coupling control laws for an under-actuated overhead crane system,” in IEEE/ASME Trans. Mechatronics, vol. 8, no. 3, pp. 418–423, Sep. 2003.
[6] H. Park, D. Chwa, and K. S. Hong, “A feedback linearization control of container cranes: Varying rope length,” Int. J. Control Autom. Syst., vol. 5, no. 4, pp. 379–387, Aug. 2007.
[7] H. H. Lee, “An anti-swing trajectory control of overhead cranes with high-speed hoisting,” in Proc. Amer. Control Conf., Denver, CO, Jun. 2003, pp. 1440–1445.
[8] H. Lee, Y. Liang, and D. Segura, “A new approach for the anti-swing control of overhead cranes with high-speed load hoisting,” in Int. J. Control, vol. 76, no. 15, pp. 1493–1499, Oct. 2003.
[9] H. Lee, Y. Liang, and D. Segura, “A sliding-mode anti-swing trajectory control for overhead cranes with high-speed load hoisting,” Trans. ASME, J. Dyn. Syst. Meas. Control, vol. 128, no. 4, pp. 842–845, Dec. 2006.
[10] H. Lee, “Motion planning for three-dimensional overhead cranes with high-speed load hoisting,” Int. J. Control, vol. 78, no. 12, pp. 875–886, Aug. 2005.
[11] J. H. Yang and K. S. Yang, “Adaptive coupling control for overhead crane systems,” in Mecha-tronics, vol. 17, no. 2/3, pp. 143–152, Mar./Apr. 2007.
[12] J. H. Yang and K. S. Yang, “Adaptive control for 3-D overhead crane systems,” in Proc. Amer. Control Conf., Minneapolis, MN, Jun. 2006, pp. 1832–1837.
[13] O. Smith, Feedback Control Systems, New York : McGraw-Hill Book Co., Inc., 1958.
[14] N. C. Singer and W. P. Seering, “Preshaping command inputs to reduce system vibration,” J. of Dynamic Systems, Measurement, and Control, vol. 112, pp. 76–82, March 1990.
[15] W. Singhose, W. Seering, and N. Singer, “Residual vibration reduction using vector diagrams to generate shaped inputs,” ASME J. of Mechanical Design, vol. 116, pp. 654–659, June 1994.
[16] T. Singh and S. R. Vadali, “Robust time-delay control,” J. of Dynamic Systems, Measurement, and Control, vol. 115, pp. 303–6, 1963.
[17] Jean Lévine, Analysis and Control of Nonlinear Systems, Verlag Berlin Heidelberg 2009.