Robust H Control of Chaotic Fractional-Order Systems: Dynamic Output Feedback with saturation and external disturbance Resilience

Robust H Control of Chaotic Fractional-Order Systems: Dynamic Output Feedback with saturation and external disturbance Resilience | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Robust H Control of Chaotic Fractional-Order Systems: Dynamic Output Feedback with saturation and external disturbance Resilience Mohammad Fiuzy, Stefan Rass This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6556394/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 10 Nov, 2025 Read the published version in International Journal of Dynamics and Control → Version 1 posted You are reading this latest preprint version Abstract Nonlinear fractional-order systems (FOS) with chaotic dynamics, face stability challenges under input saturation and external disturbances. This paper addresses a robust H dynamic output feedback (DOF) controller to stabilize FOS with orders 0 < í µí»¼ < 1, using the Gronwall-Bellman lemma and linear matrix inequalities (LMIs). The proposed mechanism ensures oscillation-free convergence, reduces control effort before reaching saturation, provides a stable region (B) and computable region of attraction (ROA) demonstrate effective disturbance rejection. A novel Saturation Resilience Index (SRI) quantifies performance under saturation, achieving SRI = 0.156. These results position suggested framework as a practical strategy for controlling chaotic systems under constraints. chaotic nonlinear fractional order system supply chain system Lyapunov theorem robust stability dynamic output feedback LMI. Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 10 Nov, 2025 Read the published version in International Journal of Dynamics and Control → Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-6556394","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":457245705,"identity":"03a40759-55ab-45b2-a4a8-6bec192ce7bb","order_by":0,"name":"Mohammad Fiuzy","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA7UlEQVRIiWNgGAWjYFACHjDJ2MB8sAFI2zBLEK+FLRGkJQ2i5QBxWhJA9GEGglp023sPfrqZYyfbwMbcJvmz7Ty75IwExs8f8GgxO3MuWTp3W7JxAxtjm4Rk221maYkEZgl8tpjdyDEAamFObJBvbJMwBGqRk0hgIKTF+HfutvpEsC2JbedAWph/ENBiBrTlMETLwbYDIIex4bflzBkz69xtx43b2BibLRvOJTNL9jxssziDT8vxHuPbuduqZfvZ2B/e/FFmlyxxPPnwjQo8WuCADUQwsjEkg+KIGA0w8IfBjhTlo2AUjIJRMDIAAN1UTcE80dyRAAAAAElFTkSuQmCC","orcid":"","institution":"Johannes Kepler University Linz","correspondingAuthor":true,"prefix":"","firstName":"Mohammad","middleName":"","lastName":"Fiuzy","suffix":""},{"id":457245707,"identity":"7bf3469a-c03a-4de1-b755-ad4845068258","order_by":1,"name":"Stefan Rass","email":"","orcid":"","institution":"Johannes Kepler University Linz","correspondingAuthor":false,"prefix":"","firstName":"Stefan","middleName":"","lastName":"Rass","suffix":""}],"badges":[],"createdAt":"2025-04-29 12:23:16","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6556394/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6556394/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s40435-025-01893-2","type":"published","date":"2025-11-10T15:58:44+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":96105154,"identity":"657e387c-ed28-469d-b24c-abf87e1714a6","added_by":"auto","created_at":"2025-11-17 16:09:24","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1786862,"visible":true,"origin":"","legend":"","description":"","filename":"firstpaperver72.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6556394/v1_covered_a02749d7-d702-4233-954d-ba5a9789eba9.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Robust H Control of Chaotic Fractional-Order Systems: Dynamic Output Feedback with saturation and external disturbance Resilience","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"chaotic nonlinear fractional order system, supply chain system, Lyapunov theorem, robust stability, dynamic output feedback, LMI.","lastPublishedDoi":"10.21203/rs.3.rs-6556394/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6556394/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Nonlinear fractional-order systems (FOS) with chaotic dynamics, face stability challenges under input saturation and external disturbances. 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