{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T00:18:06Z","timestamp":1760746686216,"version":"build-2065373602"},"reference-count":21,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2025,10,17]],"date-time":"2025-10-17T00:00:00Z","timestamp":1760659200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62001169"],"award-info":[{"award-number":["62001169"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Guangzhou 2025 Basic and Applied Basic Research Project","award":["SL2024A04J01736"],"award-info":[{"award-number":["SL2024A04J01736"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>One-cycle control (OCC) is prized in power converter applications for its rapid dynamic response and effective disturbance suppression. While its core principle relies on the symmetry of the volt-second value of the inductor in each cycle, recent research shows that embedding a composite function can significantly expand the stable parameter domain of conventional OCC. This paper seeks to identify the optimal function for this enhancement. The logarithmic and arc-tangent functions are selected based on the required characteristics and analyzed using a state-space average model. Analysis of the stability boundaries demonstrates that with ln(u+1) embedded, the stability region of uref is effectively enlarged to more than 4uin. With tan\u22121u embedded, the stability region of uref is effectively enlarged to infinity. Therefore, embedding tan\u22121u can achieve optimal results, so it is considered the optimal function. This conclusion is conclusively validated by both simulation and experimental results.<\/jats:p>","DOI":"10.3390\/sym17101759","type":"journal-article","created":{"date-parts":[[2025,10,17]],"date-time":"2025-10-17T10:28:36Z","timestamp":1760696916000},"page":"1759","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Optimal Function Study of One-Cycle Control with Embedded Composite Function for Boost Converters"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0009-0003-1019-2878","authenticated-orcid":false,"given":"Lei","family":"Wang","sequence":"first","affiliation":[{"name":"School of Shipping and Maritime Studies, Guangzhou Maritime University, Guangzhou 510725, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7727-3785","authenticated-orcid":false,"given":"Lidan","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Shipping and Maritime Studies, Guangzhou Maritime University, Guangzhou 510725, China"}]},{"given":"Wei","family":"Ma","sequence":"additional","affiliation":[{"name":"School of Electronic and Electrical Engineering, Chongqing University of Science and Technology, Chongqing 401331, China"}]},{"given":"Jubao","family":"Li","sequence":"additional","affiliation":[{"name":"School of Shipping and Maritime Studies, Guangzhou Maritime University, Guangzhou 510725, China"}]}],"member":"1968","published-online":{"date-parts":[[2025,10,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1109\/63.471281","article-title":"One-cycle control of switching converters","volume":"10","author":"Smedley","year":"1995","journal-title":"IEEE Trans. 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