{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T16:09:37Z","timestamp":1777910977152,"version":"3.51.4"},"reference-count":37,"publisher":"SAGE Publications","issue":"10","license":[{"start":{"date-parts":[[2024,10,6]],"date-time":"2024-10-06T00:00:00Z","timestamp":1728172800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"DOI":"10.13039\/501100013061","name":"Jilin Provincial Scientific and Technological Development Program","doi-asserted-by":"publisher","award":["20230101178JC"],"award-info":[{"award-number":["20230101178JC"]}],"id":[{"id":"10.13039\/501100013061","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62173047"],"award-info":[{"award-number":["62173047"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Transactions of the Institute of Measurement and Control"],"published-print":{"date-parts":[[2025,6]]},"abstract":"<jats:p>\n                    This paper proposed an adaptive neural network (NN) control method to track the desired trajectory of a bipedal modular reconfigurable robot (MRR), which can solve the gait coordination problem of bipedal MRR. The leg dynamic model and the body dynamic model of bipedal MRR are established based on the Newton\u2013Euler iterative method, and the global dynamic model is subsequently established. Aiming at the gait coordination problem between double support phase (DSP) and single support phase (SSP), the desired trajectory is generated based on the zero-moment point (ZMP) method. The adaptive NN controller is designed to track the generated desired trajectory, which also compensates interconnected dynamic coupling (IDC) effects of the bipedal MRR. The stability of bipedal MRR system is proved by Lyapunov theory. In the end, the effectiveness of the control method is verified by comparative simulation. The simulation results show that the proposed adaptive NN method reduces the position tracking error by\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mo>~<\/mml:mo>\n                          <mml:mn>10<\/mml:mn>\n                          <mml:mo>%<\/mml:mo>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    and the control torque by\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mo>~<\/mml:mo>\n                          <mml:mn>15<\/mml:mn>\n                          <mml:mo>%<\/mml:mo>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    compared with the existing control methods.\n                  <\/jats:p>","DOI":"10.1177\/01423312241273859","type":"journal-article","created":{"date-parts":[[2024,10,6]],"date-time":"2024-10-06T13:27:06Z","timestamp":1728221226000},"page":"2063-2075","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Gait coordination control of bipedal modular reconfigurable robot based on adaptive neural network"],"prefix":"10.1177","volume":"47","author":[{"given":"Yuanchun","family":"Li","sequence":"first","affiliation":[{"name":"Department of Control Science and Engineering, Changchun University of Technology, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yang","family":"Guo","sequence":"additional","affiliation":[{"name":"Department of Electronic Information, Changchun University of Technology, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tianjiao","family":"An","sequence":"additional","affiliation":[{"name":"Department of Control Science and Engineering, Changchun University of Technology, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mingchao","family":"Zhu","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8067-099X","authenticated-orcid":false,"given":"Bing","family":"Ma","sequence":"additional","affiliation":[{"name":"Department of Control Science and Engineering, Changchun University of Technology, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2024,10,6]]},"reference":[{"key":"e_1_3_2_2_1","doi-asserted-by":"publisher","DOI":"10.1177\/0278364913487566"},{"key":"e_1_3_2_3_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2023.3277558"},{"key":"e_1_3_2_4_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.asej.2020.11.005"},{"key":"e_1_3_2_5_1","doi-asserted-by":"publisher","DOI":"10.1109\/TRO.2016.2623338"},{"key":"e_1_3_2_6_1","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2019.2919676"},{"issue":"6","key":"e_1_3_2_7_1","first-page":"1019","article-title":"IEEE transactions on systems, man, and cybernetics: Systems","volume":"47","author":"Cui R","year":"2017","unstructured":"Cui R, Yang C, Li Y, et al. 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