{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,25]],"date-time":"2026-07-25T10:00:28Z","timestamp":1784973628427,"version":"3.55.0"},"reference-count":47,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2023,4,7]],"date-time":"2023-04-07T00:00:00Z","timestamp":1680825600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computation"],"abstract":"<jats:p>In this paper, the robust stabilization for the networked microgrid system is presented. A microgrid implements master-slave control architecture where the communication channel is utilized to exchange the reference current signals. With this structure, a time delay exists in the reference control signal which may lead to instability. The analysis of the control strategy is carried out in dq reference frame. The microgrid is constituted by PV and wind energy sources supplying a load through voltage source inverters. The stochastic nature of renewable energy sources introduces uncertainties which can be represented as fluctuations in the voltage and the current. The main contribution of the paper is formulating the controller design of the microgrid with communication delay and uncertainties in the model as H\u221e control problem and Lyapunov\u2013Krasovskii functional is utilized to develop stability criterion in bilinear matrix inequality form. Grey wolf optimizer is used to minimize the performance index and derive the stabilizing controller. The microgrid performance is tested through simulation using the time-varying nonlinear model of the microgrid. The results prove that satisfactory current and power-sharing are attained even with the existence of time delays and uncertainties.<\/jats:p>","DOI":"10.3390\/computation11040075","type":"journal-article","created":{"date-parts":[[2023,4,10]],"date-time":"2023-04-10T03:49:29Z","timestamp":1681098569000},"page":"75","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Robust Stabilization of a Microgrid with Communication Delay and Uncertainties"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5668-9781","authenticated-orcid":false,"given":"Ashraf","family":"Khalil","sequence":"first","affiliation":[{"name":"DTU Engineering Technology, Technical University of Denmark, 2750 Ballerup, Denmark"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Asma","family":"Alfergani","sequence":"additional","affiliation":[{"name":"Electrical and Electronics Engineering Department, University of Benghazi, Benghazi 3332, Libya"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Farhat M.","family":"Shaltami","sequence":"additional","affiliation":[{"name":"Electronics and Communication Technology Department, College of Electrical and Electronics Technology\u2014Benghazi, Benghazi 16063, Libya"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ali","family":"Asheibi","sequence":"additional","affiliation":[{"name":"Department of Electronics and Communications Engingeering, College of Engineering, A\u2019sharqiyah University, Ibra 400, Oman"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,4,7]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Prodanovic, M., Green, T.C., and Mansir, H. 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