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The main advantage of using this technique is its ability to transform the original optimal control problem to a mathematical programming problem relatively easier to solve. The primary focus of this paper is to exploit and rigorously develop the BPFs parametrization technique for the synthesis of a decentralized observer-based optimal control for large-scale interconnected systems. In addition, we develop a mathematical model of a double-parallel inverted pendulum coupled by a spring, taking into account all possible changes of the connecting position of the elastic spring. In so doing, we conducted advanced simulations applying the new optimal control method to the studied interconnected system. Our results demonstrate the validity and the effectiveness of the developed decentralized observer-based optimal control approach.<\/jats:p>","DOI":"10.1177\/0142331220940205","type":"journal-article","created":{"date-parts":[[2020,7,28]],"date-time":"2020-07-28T10:21:07Z","timestamp":1595931667000},"page":"3063-3075","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":8,"title":["A decentralized observer-based optimal control for interconnected systems using the block pulse functions"],"prefix":"10.1177","volume":"42","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6113-2248","authenticated-orcid":false,"given":"Soumaya","family":"Ghali","sequence":"first","affiliation":[{"name":"Advanced Systems Laboratory (Laboratoire des Syst\u00e8mes Avanc\u00e9s \u2013 LSA), Polytechnic School of Tunisia \u2013 EPT, University of Carthage, La Marsa, Tunisia"}]},{"given":"Abdelaziz","family":"Benallegue","sequence":"additional","affiliation":[{"name":"Versailles Engineering Systems Laboratory (Laboratoire d\u2019ing\u00e8nierie des syst\u00e9mes de Versailles \u2013 LISV), University of Versailles Saint-Quentin\u2013 UVSQ, Versailles, France"}]},{"given":"Salwa","family":"Elloumi","sequence":"additional","affiliation":[{"name":"Advanced Systems Laboratory (Laboratoire des Syst\u00e8mes Avanc\u00e9s \u2013 LSA), Polytechnic School of Tunisia \u2013 EPT, University of Carthage, La Marsa, Tunisia"}]}],"member":"179","published-online":{"date-parts":[[2020,7,28]]},"reference":[{"issue":"2","key":"e_1_3_2_2_1","first-page":"157","article-title":"Theory of block-pulse functions in numerical solution of Fredholm integral equations of the second kind","volume":"8","author":"Abdollahi A","year":"2016","unstructured":"Abdollahi A, Babolian E (2016) Theory of block-pulse functions in numerical solution of Fredholm integral equations of the second kind. 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