Abstract
A new model-free robust control scheme for payload swing angle attenuation of two-dimensional crane systems with varying rope length is introduced in this work. The proposed controller consists of a proportional derivative controller, a disturbance observer, and a compensation term that includes a coupling function. A proper design of the coupling function allows attenuating the magnitude of the swing angle, while the disturbance observer permits reducing the effect of internal and external disturbances. Then, a rigorous stability analysis demonstrates that the proposed controller allows the system to follow a desired translational motion and hoisting/lowering the load with small payload oscillations despite the adverse effects caused by internal and external disturbances. In the proposed scheme, a stage devoted to the design of the reference signal is also encompassed. The new methodology is compared to a robust controller and an adaptive scheme. Exhaustive numerical simulations demonstrate that the new controller’s performance outperforms the other control techniques, despite the presence of endogenous and exogenous disturbances.
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References
Miranda-Colorado, R., Aguilar, L.T.: A family of anti-swing motion controllers for 2D-cranes with load hoisting/lowering. Mech. Syst. Signal Process. 133, 1–19 (2019)
Chen, H., Xuan, B., Yang, P., Chen, H.: A new overhead crane emergency braking method with theoretical analysis and experimental verification. Nonlinear Dyn. 98, 2211–2225 (2019)
Almutairi, N.B., Zribi, M.: Sliding mode control of a three-dimensional overhead crane. J. Vib. Control 15(11), 1679–1730 (2009)
Wu, X., He, X.: Partial feedback linearization control for 3-D underactuated overhead crane systems. ISA Trans. 65, 361–370 (2016)
Chen, H., Fang, Y., Sun, N.: A payload swing suppression guaranteed emergency braking method for overhead crane systems. J. Vib. Control (2017). https://doi.org/10.1177/1077546317731967
Sun, N., Yang, T., Fang, Y., Wu, Y., Chen, H.: Transportation control of double-pendulum cranes with a nonlinear quasi-PID scheme: design and experiments. IEEE Trans. Syst. Man Cybern. Syst. 49(7), 1408–1418 (2019)
Xing, X., Yang, H., Liu, J.: Vibration control for nonlinear overhead crane bridge subject to actuator failures and output constraints. Nonlinear Dyn. 101, 419–438 (2020)
Ramly, L., Mohamed, Z., Abdullahi, A.M., Jaafar, H.I., Lazim, I.M.: Control strategies for crane systems: a comprehensive review. Mech. Syst. Signal Process. 95, 1–23 (2017)
Wilbanks, J.J., Adams, C.J., Leamy, M.J.: Two-scale command shaping for feedforward control of nonlinear systems. Nonlinear Dyn. 92, 885–903 (2018)
Abdullahi, A.M., Mohamed, Z., Selamat, H., Pota, H.R., Zainal Abidin, M.S., Fasih, S.M.: Efficient control of a 3D overhead crane with simultaneous payload hoisting and wind disturbance: design, simulation and experiment. Mech. Syst. Signal Process. 145, 1–16 (2020)
Zhang, S., He, X., Chen, Q.: Energy coupled-dissipation control for 3-dimensional overhead cranes. Nonlinear Dyn. 99, 2097–2107 (2020)
Maghsoudi, M.J., Ramli, L., Sudin, S., Mohamed, Z., Husain, A.R., Wahid, H.: Improved unity magnitude input shaping scheme for sway control of an underactuated 3D overhead crane with hoisting. Mech. Syst. Signal Process. 123, 466–482 (2019)
Zhang, M., Zhang, Y., Chen, H., Cheng, X.: Model-independent PD-SMC method with payload swing suppression for 3D overhead crane systems. Mech. Syst. Signal Process. 129, 381–393 (2019)
Urbás, A., Klosiński, J., Augustynek, K.: The influence of the PID controller settings on the motion of a truck-mounted crane with a flexible boom and friction in joints. Control Eng. Pract. 103, (2020)
Rincon, L., Kubota, Y., Venture, G., Tagawa, Y.: Inverse dynamic control via “simulation of feedback control” by artificial neural networks for a crane system. Control Eng. Pract. 94, (2020)
Li, F., Zhang, C., Sun, B.: A minimum-time motion online planning method for underactuated overhead crane systems. IEEE Access (2019). https://doi.org/10.1109/ACCESS.2019.2912460
Gao, J., Wang, L., Gao, R., Huang, J.: Adaptive control of uncertain underactuated cranes with a non-recursive control scheme. J. Franklin Inst. 356(18), 11305–11317 (2019)
Ramli, L., Mohamed, Z., Jaafar, H.I.: A neural network-based input shaping for swing suppression of an overhead crane under payload hoisting and mass variations. Mech. Syst. Signal Process. 107, 484–501 (2018)
Ramli, L., Mohamed, Z., Efe, M.O., Lazim, I.M., Jaafar, H.I.: Efficient swing control of an overhead crane with simultaneous payload hoisting and external disturbances. Mech. Syst. Signal Process. (2020). https://doi.org/10.1016/j.ymssp.2019.106326
Zhu, Y., Niu, D., Li, Q., Chen, Y., Wei, S., Liu, J.: Anti-shake positioning algorithm of bridge crane based on phase plane analysis. IET J. Eng. 2019(22), 8370–8373 (2019). https://doi.org/10.1049/joe.2019.1083
Shengzeng, Z., Xiongxiong, H., Haiyue, Z., Qiang, C., Yuanjing, F.: Partially saurated coupled-dissipation control for underactuated overhead cranes. Mech. Syst. Signal Process. (2020). https://doi.org/10.1016/j.ymssp.2019.106449
Nguyen, V.T., Yang, C., Du, C., Liao, L.: Design and implement of finite time sliding mode controller for fuzzy overhead crane system. ISA Trans. (2019). https://doi.org/10.1016/j.isatra.2019.11.037
Miranda-Colorado, R.: Finite-time sliding mode controller for perturbed second-order systems. ISA Trans. 95, 82–92 (2019)
Wu, X., Xu, K., He, X.: Disturbance-observer-based nonlinear control for overhead cranes subject to uncertain disturbances. Mech. Syst. Signal Process. (2020). https://doi.org/10.1016/j.ymssp.2020.106631
Wu, X., Xu, K., Lei, M., He, X.: Disturbance-compensation-based sontinuous sliding mode control for overhead cranes with disturbances. IEEE Trans. Autom. Sci. Eng. 17(4), 2182–2189 (2020)
Zhang, M., Zhang, Y., Cheng, X.: Finite-time trajectory tracking control for overhead crane systems subject to unknown disturbances. IEEE Access 7, 55974–55982 (2019)
Li, X., Peng, X., Geng, Z.: Anti-swing control for 2-D under-actuated cranes with load hoisting/lowering: a coupling-based approach. ISA Trans. 95, 372–378 (2019)
Tuan, L.A.: Neural observer and adaptive fractional-order back-stepping fast terminal sliding mode control of RTG cranes. IEEE Trans. Industr. Electron. 68(1), 434–442 (2021)
Ding, F., Huang, J., Wang, Y., Zhang, J., He, S.: Sliding mode control with an extended disturbance observer for a class of underactuated system. Nonlinear Dyn. 90, 2571–2582 (2017)
Miranda-Colorado, R., Aguilar, L.T., Brito, J.E.H.: Reduction of power consumption on quadrotor vehicles via trajectory design and a controller-gains tuning stage. Aerosp. Sci. Technol. 78, 280–296 (2018)
Tho, H.D., Kaneshige, A., Terashima, K.: Minimum-time S-curve commands for vibration-free transportation of an overhead crane with actuator limits. Control Eng. Pract. 98, (2020)
Ouyang, H., Tian, Z., Yu, L., Zhang, G.: Load swing rejection for double-pendulum tower cranes using energy-shaping-based control with actuator output limitation. ISA Trans. 101, 246–255 (2020)
Ouyang, H., Tian, Z., Yu, L., Zhang, G.: Motion planning approach for payload swing reduction in tower cranes with double-pendulum affect. J. Franklin Inst. (2020). https://doi.org/10.1016/j.jfranklin.2020.02.001
Yang, T., Sun, N., Chen, H., Fang, Y.: Motion trajectory-based transportation control for 3-D boom cranes: Analysis, design, and experiments. IEEE Trans. Industr. Electron. 66(5), 3636–3646 (2019)
Peng, H., Shi, B., Wang, X., Li, C.: Interval estimation and optimization for motion trajectory of overhead crane under uncertainty. Nonlinear Dyn. 96, 1693–1715 (2019)
Miranda-Colorado, R.: Kinematics and Dynamics of Robot Manipulators (in Spanish), Alfaomega, ISBN: 978-607-622-048-1, (2016)
Huang, J., Liang, Z., Zang, Q.: Dynamics and swing control of double pendulum bridge cranes with distributed-mass beams. Mech. Syst. Signal Process. 54–55, 357–366 (2015)
Zhang, S., He, W., Li, G.: “Boundary control design for a flexible string system with input backslash”, 2016 American Control Conference (ACC), Boston, MA, August 6–8, (2016)
He, W., Ge, S.S.: Cooperative control of a nonuniform gantry crane with constrained tension. Automatica 66, 146–154 (2016)
Jaafar, H.I., Mohamed, Z., Shamsudin, M.A., Subha, N.A.M., Ramli, L., Abdullahi, A.M.: Model reference command shaping for vibration control of multimode flexible systems with application to a double-pendulum overhead crane. Mech. Syst. Signal Process. 115, 677–695 (2019)
Rahn, C.D., Zhang, F., Joshi, S., Dawson, D.M.: Asymptotically stabilizing angle feedback for a flexible cable gantry crane. J. Dyn. Syst. Meas. Contr. 121(3), 563–566 (1999)
Tuan, L.A., Lee, S.G.: Modeling and advanced sliding mode controls of crawler cranes considering wire rope elasticity and complicated operations. Mech. Syst. Signal Process. 103, 250–263 (2018)
Park, J.H., Kim, S.H., Park, T.S.: Asymptotically convergent switching differentiator. Int. J. Adapt. Contr. Signal Process. 33, 557–566 (2019)
Ortega, R., Loría, A., Nicklasson, P.J., Sira-Ramírez, H.: Passivity-based control of Euler-Lagrange systems: Mechanical, electrical and electromechanical applications. Springer, London (1998). https://doi.org/10.1007/978-1-4471-3603-3
Lee, H.H.: Motion planning for three-dimensional overhead cranes with high-speed load hoisting. Int. J. Control 78(12), 875–886 (2005)
Fang, Y., Ma, B., Wang, P., Zhang, X.: A motion planning-based adaptive control method for an underactuated crane system. IEEE Trans. Control Syst. Technol. 20(1), 241–248 (2012)
Sun, N., Fang, Y., Chen, H., He, B.: Adaptive nonlinear contol with load hoisting/lowering and unknown parameters: Design and experiments. IEEE/ASME Trans. Mechatron. 20, 2107–2119 (2015)
Acknowledgements
The author thanks the valuable support provided by Lorena Ledón and the suggestions provided by Roger-Leonardo M.L. during the writing of this document.
Funding
The author gratefully acknowledges the financial support from CONACyT, Mexico (Consejo Nacional de Ciencia y Tecnología) under the project Cátedras CONACyT 1537.
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Miranda-Colorado, R. Robust observer-based anti-swing control of 2D-crane systems with load hoisting-lowering. Nonlinear Dyn 104, 3581–3596 (2021). https://doi.org/10.1007/s11071-021-06443-x
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DOI: https://doi.org/10.1007/s11071-021-06443-x