{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T15:24:29Z","timestamp":1778599469290,"version":"3.51.4"},"reference-count":28,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2024,1,24]],"date-time":"2024-01-24T00:00:00Z","timestamp":1706054400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In order to improve the accuracy and convergence speed of the steering law under the conditions of high dynamics, high bandwidth, and a small deflection angle, and in an effort to improve attitude measurement and control accuracy of the spacecraft, a spacecraft attitude measurement and control method based on variable speed magnetically suspended control sensitive gyroscopes (VSMSCSGs) and the fractional-order zeroing neural network (FO-ZNN) steering law is proposed. First, a VSMSCSG configuration is designed to realize attitude measurement and control integration in which the VSMSCSGs are employed as both actuators and attitude-rate sensors. Second, a novel adaptive steering law using FO-ZNN is designed. The matrix pseudoinverses are replaced by FO-ZNN outputs, which solves the problem of accuracy degradation in the traditional pseudoinverse steering laws due to the complexity of matrix pseudoinverse operations under high dynamics conditions. In addition, the convergence and robustness of the FO-ZNN are proven. The results show that the proposed FO-ZNN converges faster than the traditional zeroing neural network under external disturbances. Finally, a new weighting function containing rotor deflection angles is added to the steering law to ensure that the saturation of the rotor deflection angles can be avoided. Semi-physical simulation results demonstrate the correctness and superiority of the proposed method.<\/jats:p>","DOI":"10.3390\/s24030766","type":"journal-article","created":{"date-parts":[[2024,1,24]],"date-time":"2024-01-24T09:57:42Z","timestamp":1706090262000},"page":"766","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Spacecraft Attitude Measurement and Control Using VSMSCSG and Fractional-Order Zeroing Neural Network Adaptive Steering Law"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8911-0836","authenticated-orcid":false,"given":"Lei","family":"Li","sequence":"first","affiliation":[{"name":"Graduate School, Space Engineering University, Beijing 101400, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuan","family":"Ren","sequence":"additional","affiliation":[{"name":"Department of Basic Course, Space Engineering University, Beijing 101400, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Weijie","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Astronautical Science and Technology, Space Engineering University, Beijing 101400, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Weikun","family":"Pang","sequence":"additional","affiliation":[{"name":"Graduate School, Space Engineering University, Beijing 101400, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,1,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1002\/acs.1140","article-title":"Neural network-based adaptive attitude tracking control for flexible spacecraft with unknown high-frequency gain","volume":"24","author":"Hu","year":"2010","journal-title":"Int. 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