Global adaptive stabilization for a class of uncertain multivariable systems with nonlinear parametrization

Global adaptive stabilization for a class of uncertain multivariable systems with nonlinear parametrization | 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 Global adaptive stabilization for a class of uncertain multivariable systems with nonlinear parametrization Shaohua Yang, Xiaoxi Cao, Zongyao Sun, Xia Li This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4348006/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 17 Jul, 2024 Read the published version in Nonlinear Dynamics → Version 1 posted 7 You are reading this latest preprint version Abstract This paper proposes an adaptive stabilization controlscheme for a class of multivariable interconnected nonlinear systems with nonlinear parametrization.It is a systematic result in a sense that the proposed control scheme is a generalone that also applies to systems with linear parametrization, without changing the controllerstructure.A novel integrated framework is built by means ofa functional bounding technique for handling nonlinear parameter/structure uncertainties, a modifiedbackstepping method for designing continuous state-feedback controllers, andLyapunov stability analysis for stabilizing interconnected system states and parameter estimates.A commonly physical simulation and a representative numerical simulation are presented,and their results demonstrate the effectiveness of the proposed control scheme. multivariable interconnected nonlinear system functional bounding technique nonlinear parametrization global adaptive stabilization Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 17 Jul, 2024 Read the published version in Nonlinear Dynamics → Version 1 posted Reviews received at journal 08 May, 2024 Reviewers agreed at journal 07 May, 2024 Reviewers agreed at journal 07 May, 2024 Reviewers invited by journal 07 May, 2024 Editor assigned by journal 04 May, 2024 Submission checks completed at journal 03 May, 2024 First submitted to journal 30 Apr, 2024 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. 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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-4348006","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":299550502,"identity":"189af41a-f661-4423-ad76-7aed017e2891","order_by":0,"name":"Shaohua Yang","email":"","orcid":"","institution":"Qufu Normal University","correspondingAuthor":false,"prefix":"","firstName":"Shaohua","middleName":"","lastName":"Yang","suffix":""},{"id":299550503,"identity":"cbdef07e-9136-47a1-9d3b-e02deb097fb8","order_by":1,"name":"Xiaoxi Cao","email":"","orcid":"","institution":"Qufu Normal 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