{"id":2625,"date":"2026-04-06T15:11:06","date_gmt":"2026-04-06T07:11:06","guid":{"rendered":"https:\/\/iweb20wp-b205b.url.tku.edu.tw\/jase\/?post_type=tkuisotope&#038;p=2625"},"modified":"2026-06-05T14:38:16","modified_gmt":"2026-06-05T06:38:16","slug":"a-modified-etm-shaper-for-double-pendulum-crane-control-with-payload-hoisting","status":"publish","type":"tkuisotope","link":"\/jase\/?tkuisotope=a-modified-etm-shaper-for-double-pendulum-crane-control-with-payload-hoisting","title":{"rendered":"A Modified ETM Shaper for Double Pendulum Crane Control with Payload hoisting"},"content":{"rendered":"\n<div class=\"wp-block-tkuwpbs5-bs5-row row article-info\">\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-3 align-self-start\">\n<p><i class=\"fa fa-folder\" aria-hidden=\"true\"><\/i>&nbsp;<a href=\"\/jase\/?page_id=2115\" data-type=\"page\" data-id=\"807\">2025<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-3 align-self-start\">\n<p><i class=\"fa fa-folder-open\" aria-hidden=\"true\"><\/i>&nbsp;<a href=\"\/jase\/?page_id=2573\" data-type=\"page\" data-id=\"1055\">Volume 28, Issue 8<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-6 align-self-start\">\n<div class=\"wp-block-tkuwpbs5-bs5-div dv_publish\" data-aos=\"normal\"><div class=\"wp-block-post-date\"><time datetime=\"2026-04-06T15:11:06+08:00\">2026-04-06<\/time><\/div><\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-row row\">\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-5 align-self-start\">\n<div class=\"wp-block-tkuwpbs5-bs5-div au-ol\" data-aos=\"normal\">\n<p>Trong Hieu Do<a href=\"mailto:hieu.dotrong@hust.edu.vn\"><i class=\"fa fa-envelope\"><\/i><\/a>, Minh Duc Nguyen, and Minh Duc Duong<\/p>\n\n\n\n<p style=\"font-size:14px\">Hanoi University of Science and Technology<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-div\" style=\"margin-top:var(--wp--preset--spacing--40)\" data-aos=\"normal\">\n<p>Received:&nbsp;May 22, 2024<br>Accepted:&nbsp;September 16, 2024<br>Publication Date:&nbsp;April 6, 2026<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-column col-md-7 align-self-start clk=\u5716\u7247\"><img decoding=\"async\" src=\"\/jase\/wp-content\/uploads\/2026\/04\/28_08_10.jpg\" class=\"img-fluid img-fluid mx-auto d-block\" alt=\"\u4e0a\u50b3\u5716\u7247\">\n\n\n<p class=\"has-text-align-center img_caption\">Impulse vector of ETM4 shaper<\/p>\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-small-font-size\"><i class=\"fab fa-creative-commons\"><\/i>&nbsp;<strong>Copyright&nbsp;<\/strong>The Author(s). This is an open access article distributed under the terms of the&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\" target=\"_blank\">Creative Commons Attribution&nbsp;License (CC BY 4.0)<\/a>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.<\/p>\n\n\n\n<p>Download Citation:\u00a0 <a href=\"\/jase\/wp-content\/uploads\/2026\/05\/V288.0010.bib\" data-type=\"attachment\" data-id=\"7314\" target=\"_blank\" rel=\"noreferrer noopener\">BibTeX <\/a>| <a rel=\"noreferrer noopener\" href=\"http:\/\/dx.doi.org\/10.6180\/jase.202508_28(8).0010\" target=\"_blank\">http:\/\/dx.doi.org\/10.6180\/jase.202508_28(8).0010<\/a>\u00a0\u00a0<\/p>\n\n\n\n<p class=\"btn btn-primary article-btn\"><a href=\"\/jase\/wp-content\/uploads\/2026\/04\/10_2024_0681_V28i8.pdf\" data-type=\"attachment\" data-id=\"2585\" target=\"_blank\" rel=\"noreferrer noopener\">Download PDF<\/a><\/p>\n\n\n\n<div style=\"height:24px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>Overhead cranes are widely utilized in various industries and for transporting goods. However, the vibrations generated during operation can significantly impact the safety and efficiency of crane work. This issue becomes more critical when dealing with large-sized loads that cannot be overlooked. In such cases, the crane exhibits a double pendulum-like behaviour, and the load vibrations become multi-frequency. This paper proposes an Active Disturbance Rejection Control (ADRC) controller to control the crane\u2019s position combined with the Equal Shaping Time and Magnitude (ETM) input shaping technique to suppress load swinging during lifting operations. Simulations and experiments were performed to confirm the validity of the proposed method.<\/p>\n\n\n\n<p><em>Keywords:&nbsp;Double-Pendulum Crane; ADRC; Input Shaping; Impulse Vector; Vibration Suppression<\/em><\/p>\n\n\n\n<div style=\"height:2rem\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-tkuwpbs5-bs5-div ref_ol\" data-aos=\"normal\">\n<ol>\n<li>[1] L. Ramli, Z. Mohamed, A. M. Abdullahi, H. Jaafar, and I. M. Lazim, (2017) \u201cControl strategies for crane systems: A comprehensive review&#8221; Mechanical Systems<br \/>and Signal Processing 95: 1\u201323. DOI: https:\/\/doi.org\/10.1016\/j.ymssp.2017.03.015.<\/li>\n<li>[2] H. I. Jaafar, Z. Mohamed, N. A. M. Subha, A. R. Husain, F. S. Ismail, L. Ramli, M. O. Tokhi, and M. A. Shamsudin, (2019) \u201cEfficient control of a nonlinear double-pendulum overhead crane with sensorless payload motion using an improved PSO-tuned PID controller&#8221; Journal of Vibration and Control 25(4): 907\u2013921. DOI: 10.1177\/1077546318804319. eprint: https:\/\/doi.org\/10.1177\/1077546318804319.<\/li>\n<li>[3] N. Sun, T. Yang, Y. Fang, Y. Wu, and H. Chen, (2019) \u201cTransportation Control of Double-Pendulum Cranes With a Nonlinear Quasi-PID Scheme: Design and Experiments&#8221; IEEE Transactions on Systems, Man, and Cybernetics: Systems 49(7): 1408\u20131418.<\/li>\n<li>[4] N. Sun, Y. Wu, Y. Fang, and H. Chen, (2018) \u201cNonlinear Antiswing Control for Crane Systems With DoublePendulum Swing Effects and Uncertain Parameters: Design and Experiments&#8221; IEEE Transactions on Automation Science and Engineering 15(3): 1413\u20131422. DOI: 10.1109\/TASE.2017.2723539.<\/li>\n<li>[5] B. Lu, Y. Fang, and N. Sun, (2019) \u201cEnhanced-coupling adaptive control for double-pendulum overhead cranes with payload hoisting and lowering&#8221; Automatica 101: 241\u2013251. DOI: https:\/\/doi.org\/10.1016\/j.automatica.2018.12.009.<\/li>\n<li>[6] L. Yang and H. Ouyang, (2022) \u201cPrecision-positioning adaptive controller for swing elimination in threedimensional overhead cranes with distributed mass beams&#8221; ISA Transaction 127: 449\u2013460. DOI: 10.1016\/j.isatra.2021.08.035.<\/li>\n<li>[7] Q. Wu, X. Wang, L. Hua, and M. Xia, (2020) \u201cDynamic analysis and time optimal anti-swing control of double pendulum bridge crane with distributed mass beams&#8221; Mechanical Systems and Signal Processing: DOI: https:\/\/doi.org\/10.1016\/j.ymssp.2020.106968.<\/li>\n<li>[8] Q. Wu, X. Wang, L. Hua, and M. Xia, (2021) \u201cImproved time optimal anti-swing control system based on low-pass filter for double pendulum crane system with distributed mass beam&#8221; Mechanical Systems and Signal Processing 151: 107444. DOI: https:\/\/doi.org\/10.1016\/j.ymssp.2020.107444.<\/li>\n<li>[9] M. Zhang, Y. Zhang, and X. A. Cheng, (2019) \u201cEnhanced Coupling PD with Sliding Mode Control Method for Underactuated Double-pendulum Overhead Crane<br \/>Systems&#8221; Int. J. Control Autom. Syst 17: 1579\u20131488. DOI: 10.1007\\s12555-018-0646-0.<\/li>\n<li>[10] H. Ouyang, J. Hu, G. Zhang, L. Mei, and X. Deng, (2019) \u201cSliding-Mode-Based Trajectory Tracking and Load Sway Suppression Control for Double-Pendulum Overhead Cranes&#8221; IEEE Access 7: 4371\u20134379. DOI: 10.1109\/ACCESS.2018.2888563.<\/li>\n<li>[11] T. Wang, N. Tan, X. Zhang, G. Li, S. Su, J. Zhou, J. Qiu, Z. Wu, Y. Zhai, R. Donida Labati, V. Piuri, and F. Scotti, (2021) \u201cA Time-Varying Sliding Mode Control Method for Distributed-Mass Double Pendulum Bridge Crane With Variable Parameters&#8221; IEEE Access 9: 75981\u201375992. DOI: 10.1109\/ACCESS.2021.3079303.<\/li>\n<li>[12] Q. Wu, X. Wang, L. Hua, and M. Xia, (2021) \u201cModeling and nonlinear sliding mode controls of double pendulum cranes considering distributed mass beams, varying roped length and external disturbances&#8221; Mechanical Systems and Signal Processing 158: 107756. DOI: https:\/\/doi.org\/10.1016\/j.ymssp.2021.107756.<\/li>\n<li>[13] D. Qian, S. Tong, and S. Lee, (2016) \u201cFuzzy-logic-based control of payloads subjected to double-pendulum motion in overhead cranes&#8221; Automation in Construction 65: 133\u2013143. DOI: doi.org\/10.1016\/j.autcon.2015.12.014.<\/li>\n<li>[14] Z. Sun and H. Ouyang, (2022) \u201cAdaptive fuzzy tracking control for vibration suppression of tower crane with distributed payload mass&#8221; Automation in Construction 142: 104521. DOI: https:\/\/doi.org\/10.1016\/j.autcon.2022.104521.<\/li>\n<li>[15] Q. Wu, N. Sun, T. Yang, and Y. Fang, (2024) \u201cDeep Reinforcement Learning-Based Control for Asynchronous Motor-Actuated Triple Pendulum Crane Systems With Distributed Mass Payloads&#8221; IEEE Transactions on Industrial Electronics 71(2): 1853\u20131862. DOI: 10.1109\/TIE.2023.3262891.<\/li>\n<li>[16] M. Kenison and W. Singhose. \u201cInput shaper design for double-pendulum planar gantry cranes\u201d. In: Proceedings of the 1999 IEEE International Conference on Control Applications (Cat. No.99CH36328). 1. 1999, 539\u2013544 vol. 1. DOI: 10.1109\/CCA.1999.806702.<\/li>\n<li>[17] W. E. Singhose, J. Lawrence, K. L. Sorensen, and K. Dooroo, (2006) \u201cApplications and educational uses of crane oscillation control&#8221; FME Transactions 34: 175\u2013183.<\/li>\n<li>[18] K. Chen Chih Peng, W. Singhose, and S. S. G\u00fcrley\u00fck. \u201cInitial investigations of hand-motion crane control with double-pendulum payloads\u201d. In: 2012 American Control Conference (ACC). 2012, 6270\u20136275. DOI: 10.1109\/ACC.2012.6315260.<\/li>\n<li>[19] K. A. Alhazza and Z. N. Masoud, (2016) \u201cWaveform command shaping control of multimode systems&#8221; Journal of Sound and Vibration 363: 126\u2013140. DOI: https:\/\/doi.org\/10.1016\/j.jsv.2015.11.010.<\/li>\n<li>[20] Z. N. Masoud and K. A. Alhazza, (2017) \u201cA smooth multimode waveform command shaping control with selectable command length&#8221; Journal of Sound and Vibration 397: 1\u201316. DOI: https:\/\/doi.org\/10.1016\/j.jsv.2017.02.049.<\/li>\n<li>[21] S. F. ur Rehman, Z. Mohamed, A. Husain, L. Ramli, M. Abbasi, W. Anjum, and M. Shaheed, (2023) \u201cAdaptive input shaper for payload swing control of a 5-DOF tower crane with parameter uncertainties and obstacle avoidance&#8221; Automation in Construction 154: 104963. DOI: https:\/\/doi.org\/10.1016\/j.autcon.2023.104963.<\/li>\n<li>[22] X. Xie, J. Huang, and Z. Liang, (2013) \u201cVibration reduction for flexible systems by command smoothing&#8221; Mechanical Systems and Signal Processing 39(1): 461\u2013470. DOI: https:\/\/doi.org\/10.1016\/j.ymssp.2013.02.021.<\/li>\n<li>[23] R. Tang and J. Huang, (2016) \u201cControl of bridge cranes with distributed-mass payloads under windy conditions&#8221; Mechanical Systems and Signal Processing 72-73: 409\u2013419. DOI: https:\/\/doi.org\/10.1016\/j.ymssp.2015.11.002.<\/li>\n<li>[24] Y. Jiahui and H. Jie, (2023) \u201cControl of Beam-Pendulum Dynamics in a Tower Crane With a Slender Jib Transporting a Distributed-Mass Load&#8221; IEEE Transactions on Industrial Electronics 70(1): 888\u2013897. DOI: 10.1109\/TIE.2022.3148741.<\/li>\n<li>[25] X. Miao, L. Yang, and H. Ouyang, (2023) \u201cArtificialneural-network-based optimal Smoother design for oscillation suppression control of underactuated overhead cranes with distributed mass beams&#8221; Mechanical Systems and Signal Processing 200: 110497. DOI: https:\/\/doi.org\/10.1016\/j.ymssp.2023.110497.<\/li>\n<li>[26] D. Minh Duc, N. Van Minh, D. Quy Thinh, and D. Trong Hieu, (2023) \u201cReference response based timevarying vibration suppression control for flexible dynamic systems&#8221; Journal of Engineering Science and Technology 18(1): 604\u2013623.<\/li>\n<li>[27] D. Gruyter. Anti-sway Control for Cranes: Design and Implementation Using MATLAB. De Gruyter, 2017.<\/li>\n<li>[28] W. Singhose, D. Kim, and M. Kenison, (2008) \u201cInput Shaping Control of Double-Pendulum Bridge Crane Oscillations&#8221; J. Dyn. Sys., Meas., Control 130(3): DOI: doi:10.1115\/1.2907363.<\/li>\n<li>[29] J. Han, (2009) \u201cFrom PID to Active Disturbance Rejection Control&#8221; IEEE Transactions on Industrial Electronics 56(3): 900\u2013906. DOI: 10.1109\/TIE.2008.2011621.<\/li>\n<li>[30] G. Herbst, (2013) \u201cA Simulative Study on Active Disturbance Rejection Control (ADRC) as a Control Tool for Practitioners&#8221; Electronics 2(3): 246\u2013279. DOI: 10.3390\/electronics2030246.<\/li>\n<li>[31] T. M. Chien, D. T. Hieu, and D. Q. Thinh, (2022) \u201cDevelopment of a Rehabilitation Robot: Modeling and Trajectory Tracking Control&#8221; ASEAN Engineering Journal 12(4): 121\u2013129. DOI: 10.11113\/aej.v12.17196.<\/li>\n<li>[32] N. C. Singer and W. P. Seering, (1990) \u201cPreshaping command inputs to reduce system vibration&#8221;:<\/li>\n<li>[33] C. G. Kang, (2019) \u201cImpulse Vectors for Input-Shaping Control: A Mathematical Tool to Design and Analyze Input Shapers&#8221; IEEE Control Systems Magazine 39(4): 40\u201355. DOI: 10.1109\/MCS.2019.2913610.<\/li>\n<li>[34] M. I. Solihin, Wahyudi, and A. Legowo, (2010) \u201cFuzzy-tuned PID Anti-swing Control of Automatic Gantry Crane&#8221; Journal of Vibration and Control 16(1): 127\u2013145. DOI: 10 . 1177 \/ 1077546309103421. eprint: https:\/\/doi.org\/10.1177\/1077546309103421.<\/li>\n<\/ol>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"author":3,"template":"wp-custom-template-detail-4-aricles","meta":{"_uag_custom_page_level_css":""},"categories":[9,6,271],"tags":[424],"acf":[],"uagb_featured_image_src":[],"uagb_author_info":{"display_name":"\u6797\u923a\u6db5","author_link":"\/jase\/?author=3"},"uagb_comment_info":0,"uagb_excerpt":"&nbsp;Copyright&nbsp;The Author(s). This is an open access article distributed under the terms of the&nbsp;Creative Commons Attribution&nbsp;License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited. Download Citation:\u00a0 BibTeX | http:\/\/dx.doi.org\/10.6180\/jase.202508_28(8).0010\u00a0\u00a0 Download PDF Overhead cranes are widely utilized in various industries and for transporting&hellip;","_links":{"self":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/tkuisotope\/2625"}],"collection":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/tkuisotope"}],"about":[{"href":"\/jase\/index.php?rest_route=\/wp\/v2\/types\/tkuisotope"}],"author":[{"embeddable":true,"href":"\/jase\/index.php?rest_route=\/wp\/v2\/users\/3"}],"wp:attachment":[{"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2625"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2625"},{"taxonomy":"post_tag","embeddable":true,"href":"\/jase\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2625"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}