Three-Dimensional Crane Modelling and Control Using Euler-Lagrange State-Space Approach and Anti-Swing Fuzzy Logic

Authors

  • Andrei Aksjonov Doctoral student, Tallinn University of Technology
  • Valery Vodovozov Professor, Tallinn University of Technology
  • Eduard Petlenkov Associate professor, Tallinn University of Technology

DOI:

https://doi.org/10.1515/ecce-2015-0006

Keywords:

Control systems, Lagrangian functions, Multidimensional systems, Fuzzy control, Variable speed drives

Abstract

The mathematical model of the three-dimensional crane using the Euler-Lagrange approach is derived. A state-space representation of the derived model is proposed and explored in the Simulink® environment and on the laboratory stand. The obtained control design was simulated, analyzed and compared with existing encoder-based system provided by the three-dimensional (3D) Crane manufacturer Inteco®. As well, an anti-swing fuzzy logic control has been developed, simulated, and analyzed. Obtained control algorithm is compared with the existing anti-swing proportional-integral controller designed by the 3D crane manufacturer Inteco®. 5-degree of freedom (5DOF) control schemes are designed, examined and compared with the various load masses. The topicality of the problem is due to the wide usage of gantry cranes in industry. The solution is proposed for the future research in sensorless and intelligent control of complex motor driven application.

References

R. M. T. Raja Ismail, M. A. Ahmad, M. S. Ramli and F. R. M. Rashidi, “Nonlinear Dynamic Modelling and Analysis of a 3-D Overhead Gantry Crane System with System Payload Variation,” in 3rd European Symp. on Computer Modeling and Simulation, Athens, Greece, 2009, pp. 350–354. http://dx.doi.org/10.1109/EMS.2009.71

H. Chen, B. Gao and X. Zhang, “Dynamical Modelling and Nonlinear Control of a 3D Crane,” in 2005 International Conference on Control and Automation (ICCA2005), Budapest, Hungary, 2005, pp. 1085–1090. http://dx.doi.org/10.1109/ICCA.2005.1528283

M. Z. Mohd Tumari, M. S. Saealal, M. R. Ghazali and Y. Abdul Wahab, “H controller with graphical LMI region profile for Gantry Crane System,” in The 18th Int. Symp. on Artificial Life and Robotics (AROB 18th ’13), Daejeon, Korea, 2013, pp. 346–351. http://umpir.ump.edu.my/3439/

H.-H. Lee, “Modeling and Control of a Three-Dimensional Overhead Crane,” Journal of Dynamic Systems, Measurement, and Control, vol. 120, pp. 471–476, 1998. http://dx.doi.org/10.1115/1.2801488

M. Callegari, F. Cannella, S. Monti, C. Santolini, “Dynamic Models for the Re-Engineering of a High-Speed Cartesian Robot,” in 2001 IEEE/ASME Int. Conf. on Advanced Intelligent Mechatronics, Como, Italy, 2001, pp. 560–565. http://dx.doi.org/10.1109/aim.2001.936525

Inteco Limited 3D Crane User’s Manual: MATLAB R2009a/b, R2010a/b, R2011a/b PCI version, Available: http://www.inteco.com.pl/products/3d-crane/ [Accessed: Feb. 20, 2015].

P. Petrehus, Zs. Lendek and P. Raica, “Fuzzy modeling and design for a 3D Crane,” in 3rd IFAC Int. Conf. on Intelligent Control and Automation Science, Chengdu, China, 2013, pp. 479–484. http://dx.doi.org/10.3182/20130902-3-cn-3020.00058

D. M. Trajković, D. S. Antić, S. S. Nikolić, S. Lj. Perić and M. B. Milovanović, “Fuzzy Logic-Based Control of Three-Dimensional Crane System,” Automatic Control and Robotics. vol. 12, no. 1, pp. 31–42, 2013.

Z. Jovanović, A. Perić, S Nikolić, M. Milojković and M. Milosević, “Anti-Swing Fuzzy Controller Applied in a 3D Crane System,” ETASR Engineering, Technology & Applied Science Research, vol. 2, no. 2, pp. 196–200, 2012.

H.-H. Lee and S. Cho, “A New Fuzzy-Logic Anti-Swing Control for Industrial Three-Dimensional Overhead Cranes,” in 2001 IEEE Int. Conf. on Robotics & Automation, Seoul, Korea, 2001, pp. 2956–2961. http://dx.doi.org/10.1109/ROBOT.2001.933070

M. B. Trabia, J. M. Renno and K. A. F. Noustafa, “A General Anti-Swing Fuzzy Controller for an Overhead Crane with Hoisting,” in 2006 IEEE Int. Conf. on Fuzzy Systems, Vancouver, BC, Canada, 2006, pp. 627–634. http://dx.doi.org/10.1109/FUZZY.2006.1681777

Z. Nowacki, D. Owczarz and P. Wozniak, “On the Robustness of Fuzzy Control of an Overhead Crane,” in Proceedings of the IEEE International Symposium on Industrial Electronics, ISIE ‘96. Warsaw, Poland, 1996, pp. 433–437. http://dx.doi.org/10.1109/isie.1996.548527

T. Popadic, F. Kolonic and A. Poljugan, “A Fuzzy Control Scheme for the Gantry Crane Position and Load Swing Control,” Available: https://bib.irb.hr/datoteka/248540.MIPRO_FuzzySPG_V4.pdf [Accessed: Oct. 18, 2015]

M. A. Ahmad, M. S. Ramil, R. M. T. Raja Ismail, A. N. K. Nasir and M. A. Zawawi, “The investigation of PD-type Fuzzy Logic with different polarities input shaping for anti-sway control of a gantry crane system,” in 2009 Conf. on Innovative Technologies in Intelligent System and Industrial Applications (CITISIA 2009), Monash, Malaysia, 2009, pp. 452–457. http://dx.doi.org/10.1109/CITISIA.2009.5224166

C.-Y. Chang, “Adaptive Fuzzy Controller of the Overhead Crane With Nonlinear Disturbance,” IEEE Trans. on Ind. Informat., vol. 3, no. 2, pp. 164–172, 2007. http://dx.doi.org/10.1109/TII.2007.898433

J. Smoczek and J. Szpytko, “Fuzzy Logic-based Adaptive Control System Prototypying for Laboratory Scaled Overhead Crane,” in 18th Int. Conf. on Methods and Models in Automation and Robotics (MMAR), Miedzyzdroje, Poland, 2013, pp. 92–97.http://dx.doi.org/10.1109/mmar.2013.6669887

Y. Zhao and H. Gao, “Fuzzy-Model-Based Control of an Overhead Crane With Input Delay and Actuator Saturation,” IEEE Trans. on Fuzzy Systems, vol. 20, no. 1, pp. 181–186, 2012. http://dx.doi.org/10.1109/TFUZZ.2011.2164083

S. Carmeli and M. Mauri, “HIL test bench to test anti-swing fuzzy control of an overhead crane,” in 2013 IEEE Int. Conf. on Mechatronics (ICM), Vicenza, Italy, 2013, pp. 754–760. http://dx.doi.org/10.1109/ICMECH.2013.6519136

C.-Y. Chang, K.-C. Hsu, K.-H. Chiang and G.-E. Huang, “An Enhanced Adaptive Sliding Mode Fuzzy Control for positioning and Anti-Swing Control of the Overhead Crane System,” 2006 IEEE Int. Conf. on System, Man, and Cybernetics, Taipei, Taiwan, 2006, pp. 992–997. http://dx.doi.org/10.1109/ICSMC.2006.384529

L. Wang, H. Zhang and Z. Kong, “Anti-swing Control of Overhead Crane Based on Double Fuzzy Controller,” in 27th Chinese Control and Design Conf. (CCDC), Qingdao, China, 2015, pp. 981–986. http://dx.doi.org/10.1109/ccdc.2015.7162061

J. Goljevac, “Comparison Between PID and Fuzzy Control,” Ecole Polytechnique Fédérale de Lausanne, Département d’Informatique, Laboratoire de Microinformatique, Internal Report R93.36I.

K. M. Passino and S. Yurkovich, Fuzzy Control. California, USA: Addison Wesley Longman, Inc., 1998.

Downloads

Published

2015-12-01

How to Cite

Aksjonov, A., Vodovozov, V., & Petlenkov, E. (2015). Three-Dimensional Crane Modelling and Control Using Euler-Lagrange State-Space Approach and Anti-Swing Fuzzy Logic. Electrical, Control and Communication Engineering, 9(1), 5-13. https://doi.org/10.1515/ecce-2015-0006