Adaptive output feedback controller design for high-order stochastic nonlinear systems with uncertain output function and unknown growth rates

Adaptive output feedback controller design for high-order stochastic nonlinear systems with uncertain output function and unknown growth rates | 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 output feedback controller design for high-order stochastic nonlinear systems with uncertain output function and unknown growth rates Ce Liu, Junyong Zhai This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-852775/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 4 You are reading this latest preprint version Abstract This paper concentrates on the adaptive output feedback controller design for a class of high-order stochastic nonlinear systems(SNSs) with uncertain output function. Firstly, a homogeneous output feedback controller for the nominal system is designed through the technique of adding a power integrator. Secondly, a well-designed dynamic gain is introduced into the controller to ensure the original SNSs globally asymptotically stable(GAS) in probability. Besides, the proposed control strategy can be also extended to upper-triangular SNSs. Finally, two numerical examples illustrate the effectiveness of the proposed method. Pharmacodynamics High-order stochastic nonlinear systems dynamic gain uncertain output function homogeneous output feedback controller Full Text Cite Share Download PDF Status: Under Review Version 1 posted Reviews received at journal 01 Sep, 2021 Reviewers invited by journal 01 Sep, 2021 Editor assigned by journal 30 Aug, 2021 First submitted to journal 26 Aug, 2021 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-852775","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":49548468,"identity":"009c0cbe-8237-4e78-b297-2903eb2b1017","order_by":0,"name":"Ce Liu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAyUlEQVRIiWNgGAWjYBAC+wOHDz6Q/Pffjp+9gVg9B48lG1iwMSdL9hwgVsvhM2YSFWzMjBtuJBCpg7ENqOUGDxuz5MzHG28w1NhEE9TCzHOs2HKGBA8fv3RasQXDsbTcBkJa2CQOb7wtYSDBLDk7x0yCseEwYS088g8MpP8kGDBuuHmGSC0SDEeMJCQOJAC9z0OkFgMGYCBLNhwABjLQLwnE+MWAARSVDQeAUXl4440PNTaEtaBol0ggRTlEC6k6RsEoGAWjYGQAACj5QTR/R+5dAAAAAElFTkSuQmCC","orcid":"https://orcid.org/0000-0002-5212-2101","institution":"Southeast University","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Ce","middleName":"","lastName":"Liu","suffix":""},{"id":49548469,"identity":"9fc27371-dc59-47f3-9236-07fc470b20d8","order_by":1,"name":"Junyong Zhai","email":"","orcid":"https://orcid.org/0000-0001-5122-3819","institution":"Southeast University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Junyong","middleName":"","lastName":"Zhai","suffix":""}],"badges":[],"createdAt":"2021-08-28 06:19:50","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-852775/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-852775/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":13676259,"identity":"5bc83c7e-15ca-49fe-815d-d6310f146dbf","added_by":"auto","created_at":"2021-09-17 11:30:10","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":414105,"visible":true,"origin":"","legend":"","description":"","filename":"LiuZhaiND.pdf","url":"https://assets-eu.researchsquare.com/files/rs-852775/v1_covered.pdf"},{"id":13055845,"identity":"20b1973a-964a-43c1-823c-318c96713517","added_by":"auto","created_at":"2021-09-03 15:56:17","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":410498,"visible":true,"origin":"","legend":"","description":"","filename":"LiuZhaiND.pdf","url":"https://assets-eu.researchsquare.com/files/rs-852775/v1_covered.pdf"}],"financialInterests":"","formattedTitle":"Adaptive output feedback controller design for high-order stochastic nonlinear systems with uncertain output function and unknown growth rates","fulltext":[{"header":"Full Text","content":"This preprint is available for \u003ca href='/article/rs-852775/latest.pdf' target='_blank'\u003edownload as a PDF\u003c/a\u003e."}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"nonlinear-dynamics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"nody","sideBox":"Learn more about [Nonlinear Dynamics](https://www.springer.com/journal/11071)","snPcode":"11071","submissionUrl":"https://submission.nature.com/new-submission/11071/3","title":"Nonlinear Dynamics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"High-order stochastic nonlinear systems, dynamic gain, uncertain output function, homogeneous output feedback controller","lastPublishedDoi":"10.21203/rs.3.rs-852775/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-852775/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"This paper concentrates on the adaptive output feedback controller design for a class of high-order stochastic nonlinear systems(SNSs) with uncertain output function. 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