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The interconnections are relaxed by using gradient method, accelerated gradient and alternating direction methods of multipliers. Also, an event-based communication is proposed to handle the issue of communication constraints especially in embedded systems. In the proposed event-based communication strategy, each controller solves the optimization problem and communicate only if the prices are updated significantly, which can reduce the computation load and release the burden of the network while achieving global performance. Finally, the simulations study of the four-tank benchmark is presented to demonstrate the effectiveness of the proposed schemes. <\/jats:p>","DOI":"10.1177\/0142331220933437","type":"journal-article","created":{"date-parts":[[2020,7,6]],"date-time":"2020-07-06T09:52:51Z","timestamp":1594029171000},"page":"2929-2940","update-policy":"http:\/\/dx.doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["Nonlinear distributed model predictive control with dual decomposition and event-based communication approach"],"prefix":"10.1177","volume":"42","author":[{"ORCID":"http:\/\/orcid.org\/0000-0002-1569-2615","authenticated-orcid":false,"given":"Dine El Houda","family":"Hammami","sequence":"first","affiliation":[{"name":"National School of Engineers of Gabes (ENIG), University of Gabes, Tunisia"},{"name":"Research Laboratory of Automatic, Signal Processing and Image (LARATSI), National School of Engineers of Monastir (ENIM), University of Monastir, Tunisia"}]},{"ORCID":"http:\/\/orcid.org\/0000-0001-5538-9533","authenticated-orcid":false,"given":"Saber","family":"Maraoui","sequence":"additional","affiliation":[{"name":"Research Laboratory of Automatic, Signal Processing and Image (LARATSI), National School of Engineers of Monastir (ENIM), University of Monastir, Tunisia"}]},{"given":"Kais","family":"Bouzrara","sequence":"additional","affiliation":[{"name":"Research Laboratory of Automatic, Signal Processing and Image (LARATSI), National School of Engineers of Monastir (ENIM), University of Monastir, Tunisia"}]}],"member":"179","published-online":{"date-parts":[[2020,7,6]]},"reference":[{"key":"bibr1-0142331220933437","doi-asserted-by":"publisher","DOI":"10.1007\/978-981-13-3013-1"},{"first-page":"20","volume-title":"ICFDA 2018. 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