Adaptive Robust Dynamic Surface Control of Nonlinear Continuous Bioreactor Systems with Actuator Dynamics Consideration

Adaptive Robust Dynamic Surface Control of Nonlinear Continuous Bioreactor Systems with Actuator Dynamics Consideration | 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 Adaptive Robust Dynamic Surface Control of Nonlinear Continuous Bioreactor Systems with Actuator Dynamics Consideration Davood Mazaheri, Padideh Rasouli This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7832384/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Advanced control of bioreactor systems is crucial for improving efficiency and reliability in industrial bioprocesses. This paper proposes an adaptive robust dynamic surface control (DSC) approach for continuous stirred bioreactors characterized by nonlinear microbial growth and significant model uncertainties. The novelty of the method lies in the explicit integration of actuator dynamics, which are often neglected in previous studies but play a critical role in practical implementations. The proposed DSC framework effectively compensates for both parametric and non-parametric uncertainties using adaptive estimation and robust control laws. Lyapunov-based stability analysis demonstrates that all tracking errors are uniformly ultimately bounded within a compact set. Numerical simulations performed in MATLAB validate that the substrate concentration rapidly and accurately tracks the desired trajectories despite considerable parameter uncertainties and actuator disturbances. Furthermore, the adaptive mechanism ensures that the estimated bounds on uncertainties remain stable throughout operation, confirming the robustness and practical applicability of the control scheme for industrial bioreactor systems. Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted 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-7832384","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":530790724,"identity":"c9cf8a4a-68dc-4393-ad4e-e6b709783b2e","order_by":0,"name":"Davood Mazaheri","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABCUlEQVRIie3RMUvDQBTA8VcC5/Iuri+ctl/hZWuw+FlShHZpqODSQSQgnEt1dvMrCIHiGAlksqsINzqKEClIpVRNwUXxSt0c7gdvOfjzHhyA4/xHeT2NFEBspeABtHe+3mmDBPNVQghi0wQo/pbY+ffFY/V20xn6wVN3dnhMuH2VNqo5tIe2JDA9Ds/vepFWSaYuS0IqwQvGQFFqSdjEHEtdsFDJtUJRH1YCqPpCtm1h069ul/qDRTDNFvhO2Kq3LNYng/BU6pwFyYmSmpBLEGu3BGZw5O3qAxaYTPbkBWFYdnU0Znvim3728qz3uXU2zQy+dprNoige5qMTa/Kb1Tf9KXAcx3F++gS/MU1FdR9yVQAAAABJRU5ErkJggg==","orcid":"","institution":"Mahallat Institute of Higher Education","correspondingAuthor":true,"prefix":"","firstName":"Davood","middleName":"","lastName":"Mazaheri","suffix":""},{"id":530790726,"identity":"f2598854-09a5-432c-8fd9-1fc14c5c2999","order_by":1,"name":"Padideh Rasouli","email":"","orcid":"","institution":"Mahallat Institute of Higher Education","correspondingAuthor":false,"prefix":"","firstName":"Padideh","middleName":"","lastName":"Rasouli","suffix":""}],"badges":[],"createdAt":"2025-10-11 06:38:24","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7832384/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7832384/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":106428445,"identity":"c0399d94-3e1d-4890-880e-fa1949737457","added_by":"auto","created_at":"2026-04-08 12:42:48","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":840320,"visible":true,"origin":"","legend":"","description":"","filename":"p2Recovered1.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7832384/v1_covered_8e49cfe8-321c-4fc4-a006-11bdafdfffa8.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Adaptive Robust Dynamic Surface Control of Nonlinear Continuous Bioreactor Systems with Actuator Dynamics Consideration","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"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":"","lastPublishedDoi":"10.21203/rs.3.rs-7832384/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7832384/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Advanced control of bioreactor systems is crucial for improving efficiency and reliability in industrial bioprocesses. 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