{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T14:28:29Z","timestamp":1775831309503,"version":"3.50.1"},"reference-count":38,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2025,4,30]],"date-time":"2025-04-30T00:00:00Z","timestamp":1745971200000},"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>The present work aims to validate the computational simulation model that determines the static deflection experienced by rectangular flat plates along the longest edge when subjected to uniform and hydrostatic pressures, proposed as a state observer for active control. The plates are isotropic and simply supported on their four edges. The pressures do not exceed the plate material\u2019s elastic limit. The solutions in the analytical form of the partial differential equation of flat plates established by Kirchoff theory are first determined by Fourier double series. On the other hand, simulations are performed using the Finite Element Computational Model (MEF) using ANSYS Workbench17 software.<\/jats:p>","DOI":"10.3390\/computation13050107","type":"journal-article","created":{"date-parts":[[2025,5,1]],"date-time":"2025-05-01T03:50:43Z","timestamp":1746071443000},"page":"107","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["State Observer for Deflections in Rectangular Flat Plates Simply Supported Subjected to Uniform and Hydrostatic Pressure"],"prefix":"10.3390","volume":"13","author":[{"given":"Juan P.","family":"Cardona","sequence":"first","affiliation":[{"name":"Department of Systems Engineering, Universidad Cooperativa de Colombia, Bogot\u00e1 110821, Colombia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4276-4514","authenticated-orcid":false,"given":"Jos\u00e9 U.","family":"Castellanos","sequence":"additional","affiliation":[{"name":"Department of Electronic Engineering, Universidad Cooperativa de Colombia, Bogot\u00e1 110821, Colombia"}]},{"given":"Luis C.","family":"Guti\u00e9rrez","sequence":"additional","affiliation":[{"name":"Department of Systems Engineering, Fundaci\u00f3n de Educaci\u00f3n Superior San Jos\u00e9, Bogot\u00e1 111221, Colombia"}]}],"member":"1968","published-online":{"date-parts":[[2025,4,30]]},"reference":[{"key":"ref_1","first-page":"525","article-title":"Analysis of Plates with Varying Rigidities Using Finite Element Method","volume":"9","author":"Modi","year":"2015","journal-title":"World Acad. 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