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Sci."],"published-print":{"date-parts":[[2021,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This research work deals with the implementation of so-called Dynamic Data-Driven Application Systems (DDDAS) in structural mechanics activities. It aims at designing a real-time numerical feedback loop between a physical system of interest and its numerical simulator, so that (i) the simulation model is dynamically updated from sequential and in situ observations on the system; (ii) the system is appropriately driven and controlled in service using predictions given by the simulator. In order to build such a feedback loop and take various uncertainties into account, a suitable stochastic framework is considered for both data assimilation and control, with the propagation of these uncertainties from model updating up to command synthesis by using a specific and attractive sampling technique. Furthermore, reduced order modeling based on the Proper Generalized Decomposition (PGD) technique is used all along the process in order to reach the real-time constraint. This permits fast multi-query evaluations and predictions, by means of the parametrized physics-based model, in the online phase of the feedback loop. The control of a fusion welding process under various scenarios is considered to illustrate the proposed methodology and to assess the performance of the associated numerical architecture.<\/jats:p>","DOI":"10.1186\/s40323-021-00188-3","type":"journal-article","created":{"date-parts":[[2021,3,1]],"date-time":"2021-03-01T13:03:01Z","timestamp":1614603781000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Real-time data assimilation and control on mechanical systems under uncertainties"],"prefix":"10.1186","volume":"8","author":[{"given":"Paul-Baptiste","family":"Rubio","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8361-0757","authenticated-orcid":false,"given":"Ludovic","family":"Chamoin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2371-2655","authenticated-orcid":false,"given":"Fran\u00e7ois","family":"Louf","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,2,24]]},"reference":[{"issue":"2","key":"188_CR1","doi-asserted-by":"publisher","first-page":"174","DOI":"10.1109\/78.978374","volume":"50","author":"MS Arulampalam","year":"2002","unstructured":"Arulampalam MS, Maskell S, Gordon N, Clapp T. 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