{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T15:46:07Z","timestamp":1753890367984,"version":"3.41.2"},"reference-count":34,"publisher":"Frontiers Media SA","license":[{"start":{"date-parts":[[2022,11,4]],"date-time":"2022-11-04T00:00:00Z","timestamp":1667520000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100017700","name":"Henan Provincial Science and Technology Research Project","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100017700","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["frontiersin.org"],"crossmark-restriction":true},"short-container-title":["Front. Appl. Math. Stat."],"abstract":"<jats:p>This study premeditated the synchronization of two fractional-order chaotic systems (FOCSs) with uncertainties and external disturbances. We utilized fuzzy logic systems (FLSs) to estimate unknown nonlinearities, and implemented disturbance observers to estimate unknown bounded external disturbances. Then, a robust control term was devised to compensate for the unavoidable approximation error of the fuzzy system. In addition, a sliding mode surface was devised to construct an adaptive fuzzy sliding mode controller (AFSMC) that can guarantee that the synchronization error converges to a small neighborhood of zero. Finally, the validity of the proposed control strategy was verified <jats:italic>via<\/jats:italic> a numerical simulation.<\/jats:p>","DOI":"10.3389\/fams.2022.1019047","type":"journal-article","created":{"date-parts":[[2022,11,4]],"date-time":"2022-11-04T05:18:55Z","timestamp":1667539135000},"update-policy":"https:\/\/doi.org\/10.3389\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Disturbance observer based adaptive fuzzy synchronization controller design for uncertain fractional-order chaotic systems"],"prefix":"10.3389","volume":"8","author":[{"given":"Youjun","family":"Chen","sequence":"first","affiliation":[]},{"given":"Feng","family":"Wang","sequence":"additional","affiliation":[]}],"member":"1965","published-online":{"date-parts":[[2022,11,4]]},"reference":[{"key":"B1","doi-asserted-by":"publisher","first-page":"109521","DOI":"10.1016\/j.chaos.2019.109521","article-title":"Chaos and complexity in a fractional-order financial system with time 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