Abstract
The traditional anti-swing control algorithm does not consider the coupling between the change of rope length and the swing angle when solving the swing problem of the work boat. As a result, the swing amplitude of the work boat is increased. Aiming at the above problems, a trajectory tracking strategy of PD control considering rope changes is proposed. Firstly, a nonlinear system model with rope change rate is constructed to describe the transient response characteristics of the external disturbance torque and control stability torque of the marine crane. Then, the model is constrained linearly according to the underdrive characteristics of ship crane. The simulation results show that the average swing amplitude of the working boat is reduced by 63.05% and that of the reverse one by 62.03%.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs13369-023-07790-0/MediaObjects/13369_2023_7790_Fig1_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs13369-023-07790-0/MediaObjects/13369_2023_7790_Fig2_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs13369-023-07790-0/MediaObjects/13369_2023_7790_Fig3_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs13369-023-07790-0/MediaObjects/13369_2023_7790_Fig4_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs13369-023-07790-0/MediaObjects/13369_2023_7790_Fig5_HTML.png)
Similar content being viewed by others
References
Yan, M.W.; Ma, X.; Bai, W.: Numerical simulation of wave interaction with payloads of different postures using open-foam. J. Mar. Sci. Eng. 8(6), 433 (2020)
Rani, M.; Kumar, N.A.: New hybrid position/force control scheme for coordinated multiple mobile manipulators. Arab. J. Sci. Eng. 44, 2399–2411 (2019). https://doi.org/10.1007/s13369-018-3544-0
Liu, Z.; Sun, Y.: Adaptive variable impedance control with fuzzy-pi compound controller for robot trimming system. Arab. J. Sci. Eng. (2022). https://doi.org/10.1007/s13369-022-06755-z
Liu, Z.J.; Jiang, J.Y.; Lin, C.X.: Ballast water high-efficiency allocation optimisation modelling with dynamic programming for revolving floating cranes. Ships. Offshore. Struc. 13(8), 857–867 (2018)
Ömürlü, V.E.; Yildiz, İ: Parallel self-tuning fuzzy Pd + Pd controller for a stewart-gough platform-based spatial joystick. Arab. J. Sci. Eng. 37, 2089–2102 (2012). https://doi.org/10.1007/s13369-012-0308-0
Zhang, X.H.; Duan, M.L.; Mao, D.F.: A mathematical model of virtual simulation for deepwater installation of subsea production facilities. Ships. Offshore. Struc. 12(2), 182–195 (2017)
Bae, J.; Cha, J.; Seo, M.G.: Experimental study on development of mooring simulator for multi floating cranes. J. Mar. Sci. Eng. 9(3), 344 (2017)
Franch, J.; Agrawal, S.K.; Sangwan, V.: Differential flatness of a class of n-dof planar manipulators driven by 1 or 2 actuators. IEEE. T. Automat. Contr. 55(2), 548–554 (2010)
Dehghani, H.; Sun, Y.; Cubrich, L.: An optimization-based algorithm for trajectory planning of an under-actuated robotic arm to perform autonomous suturing. IEEE. T. Bio-Med. Eng. 68(4), 1262–1272 (2021)
Piao, Z.J.; Guo, C.; Sun, S.: Research into the automatic berthing of underactuated unmanned ships under wind loads based on experiment and numerical analysis. J. Mar. Sci. Eng. 7(9), 300 (2019)
Xu, H.T.; Hinostroza, M.A.; Soares, C.G.: Modified vector field path-following control system for an underactuated autonomous surface ship model in the presence of static obstacles. J. Mar. Sci. Eng. 9(6), 652 (2020)
Wu, X.Q., Xu, K. X., Zhang, Y. B.: Output-based feedback control of underactuated TORA systems by bounded inputs. N.a. Automat. Sinica. 46(1), 200–204 (2020)
Zhong, H.R., Li, X.Y., Gao, L.: Gait planning optimization method for biped robots compliant walking on uneven terrain. J. Huazhong Univ. of Sci. Tech. (Nat. Sci. Ed.). 49(7), 97–102 (2021)
Shehu, M.A.; Li, A.: A novel smooth super-twisting control method for perturbed nonlinear double-pendulum-type overhead cranes. Arab. J. Sci. Eng. 46, 7249–7263 (2021). https://doi.org/10.1007/s13369-021-05340-0
Benhellal, B.; Hamerlain, M.; Rahmani, Y.: Decoupled adaptive neuro-interval type-2 fuzzy sliding mode control applied in a 3dcrane system. Arab. J. Sci. Eng. 43, 2725–2733 (2018). https://doi.org/10.1007/s13369-017-2747-0
Qian, Y.Z.; Fang, Y.C.: Switching logic-based nonlinear feedback control of offshore ship-mounted tower cranes: A disturbance observer-based approach. IEEE. T. Ind. Electron. 16(3), 1125–1136 (2019)
Peng, J.H.; Huang, J.; Singhose, W.: Payload twisting dynamics and oscillation suppression of tower cranes during slewing motions. Nonlinear. Dynam. 98(2), 1041–1048 (2019)
Zhang, M.H.; Zhang, Y.F.; Ouyang, H.M.: Adaptive integral sliding mode control with payload sway reduction for 4-DOF tower crane systems. Nonlinear. Dynam. 99, 2727–2741 (2020)
Shi, H.Y.: Researches of key technologies and control methods of working boat davit. Harbin Eng. Univ, Harbin (2013)
Chen, Y.; Qian, Y.: Nonlinear vibration suppression control of underactuated shipboard rotary cranes with spherical pendulum and persistent ship roll disturbances. Ocean. Eng. 241, 110013 (2021)
Ren, Z., Verma, A.S., Ataei, B.: Halse, K. H.; Hildre, H. P. Model-free anti-swing control of complex-shaped payload with offshore floating cranes and a large number of lift wires. Ocean. Eng. 228(9), 108868 (2021)
Bc, A.; Am, A.; Rz, A.; Km, B.: Proposal of the 3-dof model as an approach to modelling offshore lifting dynamics. Ocean. Eng. 203, 107235 (2020)
Ngo, Q.H.; Nguyen, N.P.; Chi, N.N.; Tran, T.H.; Ha, Q.P.: Fuzzy sliding mode control of an offshore container crane. Ocean. Eng. 140(1), 125–134 (2017)
Ham, S.H.; Roh, M.I.; Lee, H.; Ha, S.: Multibody dynamic analysis of a heavy load suspended by a floating crane with constraint-based wire rope. Ocean. Eng. 109(15), 145–160 (2015)
Koksal, M.E.: Commutativity of systems with their feedback conjugates. Trans. Inst. Meas. Control. 41(3), 696–700 (2019)
Ni, S.K.; Liu, Z.J.; Cai, Y.: Ship manoeuvrability-based simulation for ship navigation in collision situations. J. Mar. Sci. Eng. 7(4), 90 (2019)
Gao, B.T., Hang, X.L.: Nonlinear control design of underactuated 2DTORA based on partial feedback linearization. J. South Univ. (Nat. Sci. Ed.). 41 (02), 321–325 (2011)
Ding, S.C.; Peng, L.; Qiao, S.L.: Dynamic modelling and PFL-based trajectory tracking control for underactuated cable-driven truss-like manipulator. J. Cent. South Univ. 28(10), 3127–3146 (2021)
Sun, N.; Fang, Y.C.: Nonlinear anti-swing control of offshore cranes with unknown parameters and persistent ship-induced perturbations: Theoretical design and hardware experiments. IEEE. T. Ind. Electron. 65(3), 2629–2641 (2018)
Paolo, B.; Dario, R.: Robust point-to-point planning for nonlinear underactuated systems: Theory and experimental assessment. Robot. Cim-Int. Manuf. 50, 256–285 (2017)
Zhang, M.H.; Ma, X.; Rong, X.W.: Error tracking control for underactuated overhead cranes against arbitrary initial payload swing angles. Mech. Syst. Signal. Pr. 84, 268–285 (2017)
Yang, T.; Sun, N.; Chen, H.: Neural network-based adaptive anti-swing control of an underactuated Ship-Mounted crane with roll motions and input dead zones. IEEE. T. Neur. Net. Lear. 31(3), 901–914 (2020)
Ouyang, H.M.; Wang, J.; Zhang, G.M.: Tracking and anti-sway control for Double-Pendulum rotary cranes using novel sliding mode algorithm. Automat. Sinica. 45(7), 1344–1353 (2019)
Acknowledgements
This research was funded by the National Science Foundation for Young Scientists of China (62103120, 51909049), the National Science Foundation for Heilongjiang Province (LH2020E094, LH2021F033), Heilongjiang Postdoctoral Grant (LBH-Z22195, LBH-Z22197), University Nursing Program for Young Scholars with Creative Talents in Heilongjiang Province (UNPYSCT-2020190) and Heilongjiang Provincial Technological Innovation Center of Efficient Molding of Composite Materials and Intelligent Equipment (HPTIC202204).
Author information
Authors and Affiliations
Contributions
Author contributions: SMX is the principal researcher of this study, LTT, WW.P. and TZG conduct the interpretation of the data, simulation, data analysis, writing the manuscript as well as language editing.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare no conflict of interest.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Sun, M., Luan, T., Tan, Z. et al. Swing Reduction Control of Ship Crane Based on Rope Length Change. Arab J Sci Eng 48, 15597–15608 (2023). https://doi.org/10.1007/s13369-023-07790-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13369-023-07790-0