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First, the converter is represented through a state-space model that considers disturbances in both the photovoltaic and bidirectional (battery) input ports. The system is linearized around an average operational point, such that robust control techniques can be applied. Due to varying solar irradiation, battery charge, and load levels, the converter is subjected to step-like disturbances. The proposed controller is designed to maintain stabilization and voltage tracking performance in the presence of these disturbances. This approach is different from multiport control strategies usually employed in the literature, which are based on decentralized controllers that require the use of decoupling techniques that can lead to control problems. To ensure robustness, stabilization, and voltage tracking, an [Formula: see text] approach with pole placement restrictions and based on linear matrix inequality (LMI) constraints is formulated and solved. Finally, the performance of the proposed controller has been verified via hardware-in-the-loop (HIL) experiments and compared with a decentralized control strategy. <\/jats:p>","DOI":"10.1177\/01423312211002928","type":"journal-article","created":{"date-parts":[[2021,4,12]],"date-time":"2021-04-12T07:18:04Z","timestamp":1618211884000},"page":"2658-2675","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":8,"title":["Robust control of a DC-DC three-port isolated converter"],"prefix":"10.1177","volume":"43","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9538-9471","authenticated-orcid":false,"given":"Clauson SN","family":"Rios","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, Federal University of Ceara, Brazil"}]},{"given":"Fabricio G","family":"Nogueira","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Federal University of Ceara, Brazil"}]},{"given":"Bismark C","family":"Torrico","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Federal University of Ceara, Brazil"}]},{"given":"Walter Barra","family":"Junior","sequence":"additional","affiliation":[{"name":"ITEC Institute of Technology, Federal University of Para, Brazil"}]}],"member":"179","published-online":{"date-parts":[[2021,4,12]]},"reference":[{"key":"bibr1-01423312211002928","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2006.889583"},{"key":"bibr2-01423312211002928","doi-asserted-by":"publisher","DOI":"10.1109\/ISIE.2019.8781105"},{"key":"bibr3-01423312211002928","doi-asserted-by":"publisher","DOI":"10.1109\/UPEC.2016.8114139"},{"key":"bibr4-01423312211002928","unstructured":"Barbosa SG (2020) Single-phase bidirectional AC-DC converter with integrated stage and high frequency isolation applicable to charging on board electric vehicles. 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