{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,16]],"date-time":"2026-04-16T01:17:59Z","timestamp":1776302279058,"version":"3.50.1"},"reference-count":28,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2024,6,7]],"date-time":"2024-06-07T00:00:00Z","timestamp":1717718400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["52077041"],"award-info":[{"award-number":["52077041"]}]},{"name":"National Natural Science Foundation of China","award":["52122704"],"award-info":[{"award-number":["52122704"]}]},{"name":"National Natural Science Foundation of China","award":["52077044"],"award-info":[{"award-number":["52077044"]}]},{"name":"National Natural Science Foundation of China","award":["U2141224"],"award-info":[{"award-number":["U2141224"]}]},{"name":"National Natural Science Foundation of China","award":["KFKT202108"],"award-info":[{"award-number":["KFKT202108"]}]},{"name":"the Key Laboratory of Special Machine and High Voltage Apparatus (Shenyang University of Technology), Ministry of Education","award":["52077041"],"award-info":[{"award-number":["52077041"]}]},{"name":"the Key Laboratory of Special Machine and High Voltage Apparatus (Shenyang University of Technology), Ministry of Education","award":["52122704"],"award-info":[{"award-number":["52122704"]}]},{"name":"the Key Laboratory of Special Machine and High Voltage Apparatus (Shenyang University of Technology), Ministry of Education","award":["52077044"],"award-info":[{"award-number":["52077044"]}]},{"name":"the Key Laboratory of Special Machine and High Voltage Apparatus (Shenyang University of Technology), Ministry of Education","award":["U2141224"],"award-info":[{"award-number":["U2141224"]}]},{"name":"the Key Laboratory of Special Machine and High Voltage Apparatus (Shenyang University of Technology), Ministry of Education","award":["KFKT202108"],"award-info":[{"award-number":["KFKT202108"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["52077041"],"award-info":[{"award-number":["52077041"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["52122704"],"award-info":[{"award-number":["52122704"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["52077044"],"award-info":[{"award-number":["52077044"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["U2141224"],"award-info":[{"award-number":["U2141224"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["KFKT202108"],"award-info":[{"award-number":["KFKT202108"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>To ensure precise positioning of the macro\u2013micro platform with a symmetrical structure, it is crucial to mitigate the impact of various perturbations, including disturbances, as well as complex factors such as external loads, electrical noise, and model parameter variations. This paper proposes a novel macro\u2013micro master\u2013slave control structure that incorporates adaptive fuzzy linear active disturbance rejection control (AFLADRC). The Kp and Kd parameters of the linear state error feedback (LSEF) are dynamically tuned and adjusted using fuzzy reasoning. This approach enhances the robustness of the system and simplifies the tuning process. In addition, this paper also analyzes the symmetry of the coupling effect between macro and micro, as the coupling will affect the motor force and the reaction potential of the motor. The macro\u2013micro platform adopts a symmetric design; the macro stage is driven by a permanent magnet synchronous linear motor (PMLSM), and the micro stage is driven by a voice coil motor. Finally, we built the macro\u2013micro linear motion experimental platform to verify the control effect of the proposed method by conducting trajectory tracking experiments and comparison experiments.<\/jats:p>","DOI":"10.3390\/sym16060707","type":"journal-article","created":{"date-parts":[[2024,6,7]],"date-time":"2024-06-07T04:38:56Z","timestamp":1717735136000},"page":"707","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Motion Control of Macro\u2013Micro Linear Platform Based on Adaptive Fuzzy Active Disturbance Rejection Control"],"prefix":"10.3390","volume":"16","author":[{"given":"Mingyi","family":"Wang","sequence":"first","affiliation":[{"name":"School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150000, China"}]},{"given":"Tianrun","family":"Kang","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150000, China"}]},{"given":"Kai","family":"Kang","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150000, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4920-9481","authenticated-orcid":false,"given":"Chengming","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150000, China"}]},{"given":"Liyi","family":"Li","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150000, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,7]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1735","DOI":"10.1063\/1.1135327","article-title":"Piezodriven 50-Microm Range Stage with Subnanometer Resolution","volume":"49","author":"Scire","year":"1978","journal-title":"Rev. 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