A robust prediction-based H-infinity control strategy forneutral-type time-delay systems with input delay

A robust prediction-based H-infinity control strategy forneutral-type time-delay systems with input delay | 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 A robust prediction-based H-infinity control strategy forneutral-type time-delay systems with input delay Mohammad Amin Faghihi, Shabnam Tashakori, Alireza Timas, Amirhossein Nikoofard This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7572976/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 State prediction is a widely used approach to compensate for input delays incontrol systems; however, its accuracy is inherently dependent on the modeldynamics, making prediction errors unavoidable. Such errors can cause deviations in the applied control commands, leading to performance degradation andpotential system instability. In this study, a robust prediction-based H-infinity control strategy is proposed for Neutral-type Delay Differential Equations (NDDEs) with state and input time delays. The unmodeled dynamics are represented asan exogenous input, which not only directly impacts control performance but also introduces state prediction errors, further a ecting control effort. To address these challenges, the control gains are optimally tuned to minimize the H-infinity norm of the transfer function between the exogenous input and the system output, ensuring robustness against disturbances. A practical example of time-delay systems, i.e., the oil-well drill-string system, is employed to demonstrate the effectiveness of the proposed controller. Specifically, the H-infinity controller is applied to a coupled axial-torsional model of a drill-string, formulated as an NDDE with both state and input delays. Simulation results highlight the superior performance ofthe designed controller in mitigating disturbances and optimizing control gainsto achieve minimal H-infinity norm. Prediction-based control Robust H1 control Neutral-type Delay Di erential Equation (NDDE) Exogenous Input Disturbance Input delay compensation 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. 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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-7572976","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":515163166,"identity":"d48e9cd2-1e4e-457c-8434-29428b8aa167","order_by":0,"name":"Mohammad Amin Faghihi","email":"","orcid":"","institution":"Shiraz University","correspondingAuthor":false,"prefix":"","firstName":"Mohammad","middleName":"Amin","lastName":"Faghihi","suffix":""},{"id":515163167,"identity":"9c202e72-9aed-4180-ae0c-d1d26e5eedb2","order_by":1,"name":"Shabnam 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Such errors can cause deviations in the applied control commands, leading to performance degradation andpotential system instability. In this study, a robust prediction-based H-infinity control strategy is proposed for Neutral-type Delay Differential Equations (NDDEs) with state and input time delays. The unmodeled dynamics are represented asan exogenous input, which not only directly impacts control performance but also introduces state prediction errors, further a ecting control effort. To address these challenges, the control gains are optimally tuned to minimize the H-infinity norm of the transfer function between the exogenous input and the system output, ensuring robustness against disturbances. A practical example of time-delay systems, i.e., the oil-well drill-string system, is employed to demonstrate the effectiveness of the proposed controller. 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