{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,8]],"date-time":"2026-07-08T02:30:11Z","timestamp":1783477811051,"version":"3.55.0"},"reference-count":36,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2025,1,3]],"date-time":"2025-01-03T00:00:00Z","timestamp":1735862400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["52202472"],"award-info":[{"award-number":["52202472"]}]},{"name":"National Natural Science Foundation of China","award":["182102210498"],"award-info":[{"award-number":["182102210498"]}]},{"name":"National Natural Science Foundation of China","award":["2023KLMT06"],"award-info":[{"award-number":["2023KLMT06"]}]},{"name":"Henan Province Science and Technology Research and Development Program Project","award":["52202472"],"award-info":[{"award-number":["52202472"]}]},{"name":"Henan Province Science and Technology Research and Development Program Project","award":["182102210498"],"award-info":[{"award-number":["182102210498"]}]},{"name":"Henan Province Science and Technology Research and Development Program Project","award":["2023KLMT06"],"award-info":[{"award-number":["2023KLMT06"]}]},{"name":"Opening Foundation of Key Laboratory of Advanced Manufacture Technology for Automobile Parts, Ministry of Education","award":["52202472"],"award-info":[{"award-number":["52202472"]}]},{"name":"Opening Foundation of Key Laboratory of Advanced Manufacture Technology for Automobile Parts, Ministry of Education","award":["182102210498"],"award-info":[{"award-number":["182102210498"]}]},{"name":"Opening Foundation of Key Laboratory of Advanced Manufacture Technology for Automobile Parts, Ministry of Education","award":["2023KLMT06"],"award-info":[{"award-number":["2023KLMT06"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>A pseudo-spectral control algorithm based on adaptive Gauss collocation point reconstruction is proposed to efficiently solve the optimal dynamics control problem of industrial robots. A mathematical model for the kinematic relationship and dynamic optimization control of industrial robots has been established. On the basis of deriving the Legendre\u2013Gauss collocation formula, a two-stage adaptive Gauss collocation strategy for industrial robot dynamics control variables was designed to improve the dynamics optimization control effect of industrial robot by improving the solution efficiency of constrained optimization problems. The results show that compared with the control variable parameterization method and the traditional Gaussian pseudo-spectral method, the proposed dynamic optimal control method based on an adaptive Gaussian point reconstruction algorithm can effectively improve the solving time and efficiency of constrained optimization problems, thereby further enhancing the dynamic optimization control and trajectory tracking effect of industrial robots.<\/jats:p>","DOI":"10.3390\/a18010018","type":"journal-article","created":{"date-parts":[[2025,1,3]],"date-time":"2025-01-03T07:10:17Z","timestamp":1735888217000},"page":"18","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Optimal Dynamics Control in Trajectory Tracking of Industrial Robots Based on Adaptive Gaussian Pseudo-Spectral Algorithm"],"prefix":"10.3390","volume":"18","author":[{"given":"Jing","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Mechanical, Electrical and Automotive Engineering, Xuchang Vocational Technical College, Xuchang 461000, China"},{"name":"Henan Modern Electromechanical Equipment System Integration and Digital Engineering Research Center, Xuchang Vocational Technical College, Xuchang 461000, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaokai","family":"Zhu","sequence":"additional","affiliation":[{"name":"School of Mechanical, Electrical and Automotive Engineering, Xuchang Vocational Technical College, Xuchang 461000, China"},{"name":"Henan Modern Electromechanical Equipment System Integration and Digital Engineering Research Center, Xuchang Vocational Technical College, Xuchang 461000, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Te","family":"Chen","sequence":"additional","affiliation":[{"name":"Automotive Engineering Research Institute, Jiangsu University, Zhenjiang 212013, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Guowei","family":"Dou","sequence":"additional","affiliation":[{"name":"School of Automotive and Traffic Engineering, Jiangsu University, Zhenjiang 212013, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2025,1,3]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"107376","DOI":"10.1016\/j.asoc.2021.107376","article-title":"Safety-enhanced UAV Path Planning with Spherical Vector-Based Particle Swarm Optimization","volume":"107","author":"Phung","year":"2021","journal-title":"Appl. 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