### HYBRID POSITION AND VIBRATION CONTROL OF NONLINEAR CRANE SYSTEM

#### Abstract

*This paper presents comparative assessments of input shaping techniques using two different approaches, for sway reduction of cranes system. First, the shaper was designed at maximum load hoisting length while the second was designed at average load hoisting length. These were accomplished using curve fitting toolbox in MATLAB. In both case; Zero Vibration (ZV), Zero Vibration Derivative (ZVD) and Zero Vibration Derivative Derivatives (ZVDD) were designed. Average hoisting length (AHL) shapers performed better than the Maximum hoisting length (MHL) shapers. Proportional integral derivative (PID) was incorporated for position control. After successful implementation, Simulation results show that a precise payload positioning was achieved. AHL-ZVDD has superior performances in sway reduction and robustness.*

#### References

Masoud, Z.N.,Nayfeh, A.H Abdel-Rahman E.M (2001). Dynamics and Control of Cranes : A Review.Journal of Vibration and Control,Vol.9 pp. 863–908,.

Singhose, W, (2009). Command Shaping for Flexible Systems: A Review of the First 50 Years. International journal of precision engineering and manufacturing, 10(4), pp. 153-168

Ha, M. and Kang, C., (2013). Experimental Analysis of Natural Frequency Error to Residual Vibration in ZV , ZVD , and ZVDD Shapers,”10th International Conference on Ubiquitous Robots and Ambient Intelligence Jeju South Korea, pp. 195–199.

Bartulovi, M. and Zuzic, G., (2014).ˇNonlinear Predictive Control of a Tower Crane using Reference Shaping Approach,”16th International Conference of Power Electronic and Motion Control,Antalya Turkey. no. 6, pp. 872–876,.

Al-mousa, A., (2015). Delayed Position-Feedback Controller for the Reduction of Payload Pendulations of Rotary Cranes,” J Vib. Control Vol. 9, pp. 257–277.

Uchiyama, N., Ouyang, H. and Sano, S. (2013). Simple rotary crane dynamics modeling and open-loop control for residual load sway suppression by only horizontal boom motion,” Mechatronics, vol. 23, no. 8, pp. 1223–1236.

Ahmad, M. A., Raja Ismail, R. M. T., Ramli, M. S., Zakaria, N. F., and Abd Ghani, N. M., (2009). Robust feed-forward schemes for anti-sway control of rotary crane,” CSSim 2009 - 1st Int. Conf. Comput. Intell. Model. Simul., pp. 17–22.

Mohamed, Z., Chee, A. K., Hashim, A. W. I. M., Tokhi, M. O., Amin, S. H. M.,Mamat, R.,(2015).Techniques for vibration control of a flexible robot manipulator,” Robotica, vol. 24, no. January 2006, pp. 499–511.

Maleki E. and Singhose, W.,(2010). Dynamics and Zero Vibration Input Shaping Control of a Small-Scale Boom Crane,”2010 American Control Conference,Baltimore, USA. pp. 2296–2301.

Ahmad, M.A., Mohd, R., Raja, T. and Ramli, M. S.(2009). Input Shaping Techniques for Anti-sway Control of a 3-D Gantry Crane System, Proc. IEEE Int. Conf. Mechatronics Autom. Chang. China, pp. 2876–2881, August 2009.

Sorensen, K. L., W. S. Ã, and Dickerson, S. (2007). A controller enabling precise positioning and sway reduction in bridge and gantry cranes,” Control Eng. Pract. 15 825–837, vol. 15, pp. 825–837.

Vaughan, J., Yano, A., and Singhose, W. (2008). Performance comparison of robust negative input shapers, Proc. Am. Control Conf., vol. 00, pp. 3257–3262.

Schaper, U., Arnold, E., Sawodny, O., and Schneider K.(2013). Constrained real-time model-predictive reference trajectory planning for rotary cranes,” 2013 IEEE/ASME Int. Conf. Adv. Intell. Mechatronics Mechatronics Hum. Wellbeing, AIM 2013, pp. 680–685.

Terashima, K., Shen, Y., and Yano K. (2007). Modeling and optimal control of a rotary crane using the straight transfer transformation method,” Control Eng. Pract., vol. 15, no. 9, pp. 1179–1192.

Le, T. A., Dang, V., Ko, D. H., and An, T. N. (2013). Nonlinear controls of a rotating tower crane in conjunction with trolley motion,” Journal of System and Control Engineering , vol. 227, no. 5, pp. 451–460.

Bartolini, G., Pisano, A., and Usai, E. (2002). Second-order sliding-mode control of container cranes,” Automatica, vol. 38, no. 10, pp. 1783–1790.

Tuan L. A. and Lee, S. (2013). Sliding mode controls of double-pendulum crane systems†,” Journal of Mechanical S cience and Technology,vol. 27, no. 6, pp. 1863–1873.

Tuan, L. A., Moon, S., Lee, W. G., and Lee, S. (2013). Adaptive sliding mode control of overhead cranes with varying cable length †,” Journal of Mechanical S cience and Technology, vol. 27, no. 3, pp. 885–893.

Tai, C. and Andrew, K. (2015). Review of Control and Sensor System of Flexible Manipulator,” Journal of Intelligent and Robotic System, Vol. 77 (1),pp. 187–213.

Nakazono, K., Ohnishi, K., Kinjo, H., and Yamamoto, T. (2008). Vibration control of load for rotary crane system using neural network with GA-based training,” Artif. Life Robot., vol. 13, no. 1, pp. 98–101,.

Ahmad, M. A., Samin, R. E., and Zawawi, M. A. (2010). Comparison of Optimal and Intelligent Sway Control for a Lab-Scale Rotary Crane System,” 2010 Second Int. Conf. Comput. Eng. Appl., pp. 229–234.

Al-mousa, A. A. and Pratt, T. (2000). Control of Rotary Cranes Using Fuzzy Logic and Time-Delayed Position Feedback Control,”http:/hdl.handle.net/10919/36024.

Maghsoudi, M. J., Mohamed, Z., Husain, A. R., and Jaafar, H. I. (2014). Improved Input Shaping Technique for a Nonlinear System,” 2014 IEEE International Conference on Control System, Computing and Engineering, 28 - 30 November 2014, Penang, Malaysia

Blackburn, D., Singhose, W., Kitchen, J., Patrangenaru, V., Lawrence, J., and Kamoi, T. (2010). Command Shaping for Nonlinear Crane Dynamics,” J. Vib. Control,.