Differentiable Programming for Gradient-Based Control and Optimization in Physical Systems

Differentiable Programming for Gradient-Based Control and Optimization in Physical Systems | 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 Differentiable Programming for Gradient-Based Control and Optimization in Physical Systems López-Montero Daniel, Hernando-Sánchez Patricia, Limones-Andrade María, and 3 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3832960/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 This paper presents an exploration of the application of control theory, particularly utilizing a gradient-based algorithm, to automate and optimize the operation of photovoltaic panels and refrigeration systems in warehouse environments. The study emphasizes achieving coordination between energy generation and consumption, specifically harnessing surplus solar energy for efficient refrigeration. The complex interplay between fluctuating solar irradiance, thermal dynamics of the warehouse, and refrigeration needs underscores the significance of control theory in designing algorithms to dynamically adjust PV panel output and refrigerator operation. The paper discusses foundational control theory principles, proposes a tailored framework for warehouse operations, and highlights the potential for sustainable energy practices. This paper explores the use of data-driven approaches based on NeuralODEs vs classical ones using physics equations. Control Theory Gradient Descent Optimization Differential Programming Digital Twins 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-3832960","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":266944648,"identity":"6bf81ff1-adc0-46d9-8597-cf09242dff2d","order_by":0,"name":"López-Montero Daniel","email":"","orcid":"","institution":"GMV","correspondingAuthor":false,"prefix":"","firstName":"López-Montero","middleName":"","lastName":"Daniel","suffix":""},{"id":266944649,"identity":"c93a8292-d24c-4fb9-b968-fe9c43bc15e2","order_by":1,"name":"Hernando-Sánchez Patricia","email":"","orcid":"","institution":"GMV","correspondingAuthor":false,"prefix":"","firstName":"Hernando-Sánchez","middleName":"","lastName":"Patricia","suffix":""},{"id":266944650,"identity":"b14da032-5e05-4467-b19e-b61fb7fcd945","order_by":2,"name":"Limones-Andrade María","email":"","orcid":"","institution":"GMV","correspondingAuthor":false,"prefix":"","firstName":"Limones-Andrade","middleName":"","lastName":"María","suffix":""},{"id":266944651,"identity":"da618070-448d-458e-95af-22504a1aa89d","order_by":3,"name":"Valverde-Mateo Adrían","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Valverde-Mateo","middleName":"","lastName":"Adrían","suffix":""},{"id":266944652,"identity":"fce77a50-dfd0-42c4-b971-b7fbecda9a13","order_by":4,"name":"Sánchez-Parra Juan Manuel","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Sánchez-Parra","middleName":"Juan","lastName":"Manuel","suffix":""},{"id":266944653,"identity":"0f677077-b21c-4b32-86e5-4422a2e611cf","order_by":5,"name":"Auñón-García Juan Miguel","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAApUlEQVRIiWNgGAWjYBACxgYILUe6FmPSbUtsIFop87TDz6QLKu6kzw87Y8Dwo2IbEQ6bnWYmPePMs9yNt3MMGHvO3CZGS4KZNG/b4dyNs9MSmBnbiNKS/g2kJd2QBC05YFsS5KWTDxCtpdia58xhww1ALQeJ8ovh7PSNt3kqDsvLz05sfPCjghgtDVCGwQEGhgOE1QOBPJzRgEfVKBgFo2AUjGwAAC6GOslG4x/BAAAAAElFTkSuQmCC","orcid":"","institution":"GMV","correspondingAuthor":true,"prefix":"","firstName":"Auñón-García","middleName":"Juan","lastName":"Miguel","suffix":""}],"badges":[],"createdAt":"2024-01-03 22:44:12","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3832960/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3832960/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":50695026,"identity":"5a517ab5-97c0-4567-918a-23e2e1b48eea","added_by":"auto","created_at":"2024-02-06 00:52:28","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1241638,"visible":true,"origin":"","legend":"","description":"","filename":"Differentiableprogrammingspringertemplate.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3832960/v1_covered_26f9c61e-c4a2-4967-9547-da5ab353875d.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Differentiable Programming for Gradient-Based Control and Optimization in Physical Systems","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":"Control Theory, Gradient Descent, Optimization, Differential Programming, Digital Twins","lastPublishedDoi":"10.21203/rs.3.rs-3832960/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3832960/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"This paper presents an exploration of the application of control theory, particularly utilizing a gradient-based algorithm, to automate and optimize the operation of photovoltaic panels and refrigeration systems in warehouse environments. 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