{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,23]],"date-time":"2026-04-23T14:59:32Z","timestamp":1776956372288,"version":"3.51.4"},"reference-count":49,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2024,2,6]],"date-time":"2024-02-06T00:00:00Z","timestamp":1707177600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>In this study, we created an accurate model for a homogenous smart structure. After modeling multiplicative uncertainty, an ideal robust controller was designed using \u03bc-synthesis and a reduced-order H-infinity Feedback Optimal Output (Hifoo) controller, leading to the creation of an improved uncertain plant. A powerful controller was built using a larger plant that included the nominal model and corresponding uncertainty. The designed controllers demonstrated robust and nominal performance when handling agitated plants. A comparison of the results was conducted. As an example of a general smart structure, the vibration of a collocated piezoelectric actuator and sensor was controlled using two different approaches with strong controller designs. This study presents a comprehensive simulation of the oscillation suppression problem for smart beams. They provide an analytical demonstration of how uncertainty is introduced into the model. The desired outcomes were achieved by utilizing Simulink and MATLAB (v. 8.0) programming tools.<\/jats:p>","DOI":"10.3390\/a17020073","type":"journal-article","created":{"date-parts":[[2024,2,6]],"date-time":"2024-02-06T07:50:12Z","timestamp":1707205812000},"page":"73","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["\u03bc-Analysis and \u03bc-Synthesis Control Methods in Smart Structure Disturbance Suppression with Reduced Order Control"],"prefix":"10.3390","volume":"17","author":[{"given":"Amalia","family":"Moutsopoulou","sequence":"first","affiliation":[{"name":"Department of Mechanical Engineering, Hellenic Mediterranean University, 71410 Heraklion, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1312-7898","authenticated-orcid":false,"given":"Markos","family":"Petousis","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Hellenic Mediterranean University, 71410 Heraklion, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9199-2110","authenticated-orcid":false,"given":"Georgios E.","family":"Stavroulakis","sequence":"additional","affiliation":[{"name":"Department of Production Engineering and Management, Technical University of Crete, 73100 Chania, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anastasios","family":"Pouliezos","sequence":"additional","affiliation":[{"name":"Department of Production Engineering and Management, Technical University of Crete, 73100 Chania, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nectarios","family":"Vidakis","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Hellenic Mediterranean University, 71410 Heraklion, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,2,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"378","DOI":"10.2514\/2.719","article-title":"New Shear Actuated Smart Structure Beam Finite Element","volume":"37","author":"Benjeddou","year":"1999","journal-title":"AIAA J."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1109\/9.553691","article-title":"Flexible Piezoelectric Structures-Approximate Motion Equations and Control Algorithms","volume":"42","author":"Bona","year":"1997","journal-title":"IEEE Trans. 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