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An improved fuzzy proportional\u2013integral\u2013differential (FPID) controller based on an improved moth-flame optimization (IMFO) FPID algorithm (IMFO-FPID) is proposed for PMSM control. In off-line mode, the parameters of the fuzzy logic controller (FLC) are optimized using the IMFO algorithm. The study improves the moth-flame optimization (MFO) algorithm using scrambling Sobol sequences, nonlinear inertia weights, sine cosine algorithm (SCA) and the greedy mechanism. When the motor runs, the FLC dynamically adjusts the proportional\u2013integral\u2013derivative (PID) controller to adapt to changes in the PMSM state. Simulation results demonstrate that the designed IMFO-FPID controller significantly outperforms other controllers under step and sinusoidal response conditions. In addition, the study evaluates the robustness and adaptability of each controller under varying speed and load conditions, where the IMFO-FPID controller exhibits stronger stability and adaptability, further validating its superior performance in practical applications.<\/jats:p>","DOI":"10.1177\/01423312251350754","type":"journal-article","created":{"date-parts":[[2025,8,22]],"date-time":"2025-08-22T06:23:27Z","timestamp":1755843807000},"page":"2459-2468","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Control of permanent magnet synchronous motor based on improved moth flame optimized fuzzy PID"],"prefix":"10.1177","volume":"48","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7088-3369","authenticated-orcid":false,"given":"Hongliang","family":"Gao","sequence":"first","affiliation":[{"name":"School of Electrical Engineering and Automation, Hubei Normal University, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Rui","family":"Zhou","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Hubei Normal University, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xinyu","family":"Bao","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Hubei Normal University, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yong","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Hubei Normal University, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"179","published-online":{"date-parts":[[2025,8,21]]},"reference":[{"issue":"6","key":"e_1_3_2_2_1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1145\/3618307","article-title":"ART-owen scrambling","volume":"42","author":"Ahmed AGM","year":"2023","unstructured":"Ahmed AGM, Pharr M, Wonka P (2023) ART-owen scrambling. 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