Design of the state feedback-based feed-forward controller asymptotically stabilizing the double-pendulum-type overhead cranes with time-varying hoisting rope length

References

[1] L. Ramli, Z. Mohamed, A. M. Abdullahi, H. I. Jaafar, and I. M. Lazim, “Control strategies for crane systems: a comprehensive review,” Mech. Syst. Signal Process., vol. 95, pp. 1–23, 2017, https://doi.org/10.1016/j.ymssp.2017.03.015.Search in Google Scholar

[2] D. Qian, Anti-Sway Control for Cranes: Design and Implementation Using Matlab, Walter de Gruyter GmbH & Co KG, Berlin/Boston, 2017, p. 236.10.1515/9783110520101Search in Google Scholar

[3] https://www.comsol.com/blogs/double-pendulum-simulation-tutorial/.Search in Google Scholar

[4] M. Z. Rafat, M. S. Wheatland, and T. R. Bedding, “Dynamics of a double pendulum with distributed mass,” Am. J. Phys., vol. 77, p. 216, 2009, https://doi.org/10.1119/1.3052072.Search in Google Scholar

[5] H. Goldstein, Ch. P. PooleJr., and J. L. Safko, Classical Mechanics, 3rd ed., Pearson Education, Boston, 2011.Search in Google Scholar

[6] N. Sun, Y. Wu, H. Chen, and Y. Fang, “An energy-optimal solution for transportation control of cranes with double pendulum dynamics: design and experiments,” Mech. Syst. Signal Process., vol. 102, pp. 87–101, 2018, https://doi.org/10.1016/j.ymssp.2017.09.027.Search in Google Scholar

[7] D. Fujioka and W. Singhose, “Input-shaped model reference control of a nonlinear time-varying double-pendulum crane,” in Proceedings of the 10th Asian Control Conference, Kota Kinabalu, Sabah, Malaysia, 2015, pp. 1–6.10.1109/ASCC.2015.7244565Search in Google Scholar

[8] D. Fujioka and W. Singhose, “Performance comparison of input-shaped model reference control on an uncertain flexible system,” in Proceedings of the IFAC Workshop on Time Delay Systems, Ann Arbor, Michigan, 2015, pp. 129–134.10.1016/j.ifacol.2015.09.365Search in Google Scholar

[9] M. Zhang, X. Ma, X. Rong, X. Tian, and Y. Li, “Adaptive tracking control for double-pendulum overhead cranes subject to tracking error limitation, parametric uncertainties and external disturbances,” Mech. Syst. Signal Process., vols. 76–77, pp. 15–32, 2016, https://doi.org/10.1016/j.ymssp.2016.02.013.Search in Google Scholar

[10] D. Qian, S. Tong, and S. Lee, “Fuzzy-Logic-based control of payloads subjected to double-pendulum motion in overhead cranes,” Autom. Construct., vol. 65, pp. 133–143, 2016, https://doi.org/10.1016/j.autcon.2015.12.014.Search in Google Scholar

[11] L. A. Tuan and S. G. Lee, “Sliding mode controls of double-pendulum crane systems,” J. Mech. Sci. Technol., vol. 27, no. 6, pp. 1863–1873, 2013, https://doi.org/10.1007/s12206-013-0437-8.Search in Google Scholar

[12] N. Sun, Y. Wu, Y. Fang, and H. Chen, “Nonlinear antiswing control for crane systems with double-pendulum swing effects and uncertain parameters: design and experiments,” IEEE Trans. Autom. Sci. Eng., vol. 15, no. 3, pp. 1413–1422, 2018, https://doi.org/10.1109/TASE.2017.2723539.Search in Google Scholar

[13] K. A. Alhazza, A. M. Hasan, K. A. Alghanim, and Z N. Masoud, “An iterative learning control technique for point-to-point maneuvers applied on an overhead crane,” Shock Vib., vol. 2014, p. 11, 2014, Art no. 261509, https://doi.org/10.1155/2014/261509.Search in Google Scholar

[14] J.-J. E. Slotine and W. Li, Applied Nonlinear Control, New Jersey, Prentice Hall Englewood Cliffs, 1991.Search in Google Scholar

[15] P. J. Antsaklis and A. N. Michel, Linear Systems, 2006, Birkhauser Boston, 2nd Corrected Printing, Originally published by, McGraw-Hill, Englewood Cliffs, NJ, 1997.Search in Google Scholar

[16] L. Perko, Differential Equations and Dynamical Systems, 3rd ed., Texts in Applied Mathematics, 7, New York, Springer-Verlag, 2001.10.1007/978-1-4613-0003-8Search in Google Scholar

[17] H. I. Jaafar, Z. Mohamed, M. A. Shamsudin, N. A. Mohd Subha, L. Ramli, and A. M. Abdullahi, “Model reference command shaping for vibration control of multimode flexible systems with application to a double-pendulum overhead crane,” Mech. Syst. Signal Process., vol. 115, pp. 677–695, 2019, https://doi.org/10.1016/j.ymssp.2018.06.005.Search in Google Scholar

[18] M. Zhang, X. Ma, X. Rong, R. Song, X. Tian, and Y. Li, “A novel energy-coupling-based control method for double-pendulum overhead cranes with initial control force constraint,” Adv. Mech. Eng., vol. 10, no. 1, pp. 1–13, 2018, https://doi.org/10.1177/1687814017752213.Search in Google Scholar

[19] R.P.L. Caporali, “Iterative method for controlling with a command profile the sway of a payload for gantry and overhead traveling cranes,” Int. J. Innov. Comput. Inform. Control, vol. 14, no. 3, pp. 1095–1112, June 2018.Search in Google Scholar

[20] J. Kautsky, N. K. Nichols, and P. Van Dooren, “Robust Pole assignment in linear state feedback,” Int. J. Contr., vol. 41, pp. 1129–1155, 1985, https://doi.org/10.1080/0020718508961188.Search in Google Scholar

[21] N. Sun, Y. Fang, Y. Zhang, and B. Ma, “A novel kinematic coupling-based trajectory planning method for overhead cranes,” IEEE/ASME Trans. Mech., vol. 17, no. 1, pp. 166–173, 2012, https://doi.org/10.1109/tmech.2010.2103085.Search in Google Scholar

[22] J. Vaughan, D. Kim, and W. Singhose, “Control of tower cranes with double-pendulum payload dynamics,” IEEE Trans. Contr. Syst. Technol., vol. 18, no. 6, pp. 1345–1358, 2010, https://doi.org/10.1109/TCST.2010.2040178.Search in Google Scholar

[23] Z. Masoud, K. Alhazza, E. Abu-Nada, and M. Majeed, “A hybrid command-shaper for double-pendulum overhead cranes,” J. Vib. Contr., vol. 20, no. 1, pp. 24–37, 2014, https://doi.org/10.1177/1077546312461371.Search in Google Scholar