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This control strategy is based on an extended Bergman minimal model, a nonlinear glucose\u2010insulin model to encompass unknown inputs, such as unplanned meals, exercise disturbances, or delays. The primary contribution lies in the design of an observer\u2010based state feedback control in the presence of unknown long delays, which seeks to support and enhance the performance of the traditional artificial pancreas by considering realistic scenarios. The observer and control gains for the observer\u2010based control are computed through linear matrix inequalities formulated from Lyapunov conditions that guarantee closed\u2010loop stability. This design deploys a soft and gentle dynamic response, similar to a natural pancreas, despite meal disturbances and input delays. Numerical tests demonstrate the scheme's effectiveness in glycemic level regulation and hypoglycemic episode avoidance.<\/jats:p>","DOI":"10.1002\/cnm.3826","type":"journal-article","created":{"date-parts":[[2024,5,6]],"date-time":"2024-05-06T02:54:47Z","timestamp":1714964087000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Observer\u2010based control for plasma glucose regulation in type 1 diabetes mellitus patients with unknown input delay"],"prefix":"10.1002","volume":"40","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6412-581X","authenticated-orcid":false,"given":"Boubekeur","family":"Targui","sequence":"first","affiliation":[{"name":"Laboratoire d'Ing\u00e9nierie des Syst\u00e8mes (LIS) Universit\u00e9 de Caen Normandie  Caen 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