Pursuit-Evasion Differential Game Guidance Strategy with Incomplete-Information in Two-on-Two Engagement

Pursuit-Evasion Differential Game Guidance Strategy with Incomplete-Information in Two-on-Two Engagement | 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 Pursuit-Evasion Differential Game Guidance Strategy with Incomplete-Information in Two-on-Two Engagement Xintao Wang, Tao Chao, Songyan Wang, Mingzhe Hou, Ming Yang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8580418/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 article investigates a pursuit-evasion game issue with incomplete-information in a two-on-two engagement, which involves two pursuers and two evaders. First, for the complete-information, a linear quadratic game scheme is designed to reduce the fuel cost of the evaders and the norm-bounded differential game approach is adopted to obtain the guidance scheme, which ensures that the evaders lure two pursuers into collision and successfully avoid the interception of the pursuers. Furthermore, for the incomplete-information circumstance, there are four combinations of the pursuers’ guidance schemes to form as a finite set. And the smooth variable sliding filter is injected into the interacting multiple model algorithm to estimate the pursuers’ unknown information, which identifies the pursuers’ guidance schemes by matching the different information modes in parallel. Finally, the performance and superiority of the guidance scheme are validated by numerical and comparing simulations for incomplete-information game scenarios. Pursuit and evasion Differential game Incomplete-information Multiple model algorithm Smooth variable sliding filter 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-8580418","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":578590769,"identity":"235286fe-4bcb-4a25-811e-111a95291df7","order_by":0,"name":"Xintao Wang","email":"","orcid":"","institution":"Harbin Institute of Technology","correspondingAuthor":false,"prefix":"","firstName":"Xintao","middleName":"","lastName":"Wang","suffix":""},{"id":578590770,"identity":"085f5a2b-c8bd-41cf-b045-fe770eceb160","order_by":1,"name":"Tao Chao","email":"","orcid":"","institution":"Harbin Institute of Technology","correspondingAuthor":false,"prefix":"","firstName":"Tao","middleName":"","lastName":"Chao","suffix":""},{"id":578590771,"identity":"8c604de2-7bfa-4580-ba44-ea94dc741f73","order_by":2,"name":"Songyan Wang","email":"","orcid":"","institution":"Harbin Institute of Technology","correspondingAuthor":false,"prefix":"","firstName":"Songyan","middleName":"","lastName":"Wang","suffix":""},{"id":578590772,"identity":"6ef3db3d-201e-436c-9d0d-9a1953e6c1ad","order_by":3,"name":"Mingzhe Hou","email":"","orcid":"","institution":"Harbin Institute of Technology","correspondingAuthor":false,"prefix":"","firstName":"Mingzhe","middleName":"","lastName":"Hou","suffix":""},{"id":578590773,"identity":"6554aeb6-87db-443f-af65-a40cf176d816","order_by":4,"name":"Ming Yang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA3UlEQVRIie3PPwrCMBTH8VcCzfL8M7bUKwiBQnQo9SpCIV0yODm7uXgAj+HkXAzaxQM4dOnSyaGgSAcRaXFwajoK5rs8CL/PEACT6XdLsDklC8LupDbWdiGizgRqQrA8WCvddryNivwO2WhG0/wWsIQAVcddG+EXMfFHUCCi9D3Jsj6gEJd2MueeAwrRQZtIVhBwkGtI/PgQWpApU9ZKTyR3y4YAJ9CJnK9LD2pylr67YSKytX9J471bgZrRdZqX1TMIB1SdWgkM50B6r68Hu3VeN0jAqrQrk8lk+uvepdxFWjBTGw0AAAAASUVORK5CYII=","orcid":"","institution":"Harbin Institute of Technology","correspondingAuthor":true,"prefix":"","firstName":"Ming","middleName":"","lastName":"Yang","suffix":""}],"badges":[],"createdAt":"2026-01-12 10:23:48","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8580418/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8580418/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":105566530,"identity":"d321ac57-7aa3-481d-9457-e4ff63b48bce","added_by":"auto","created_at":"2026-03-27 12:56:38","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":768058,"visible":true,"origin":"","legend":"","description":"","filename":"incompleteinformationDGA.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8580418/v1_covered_13bfaaa5-913c-498e-acfb-8098336627dc.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Pursuit-Evasion Differential Game Guidance Strategy with Incomplete-Information in Two-on-Two Engagement","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":"Pursuit and evasion, Differential game, Incomplete-information, Multiple model algorithm, Smooth variable sliding filter","lastPublishedDoi":"10.21203/rs.3.rs-8580418/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8580418/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"This article investigates a pursuit-evasion game issue with incomplete-information in a two-on-two engagement, which involves two pursuers and two evaders. First, for the complete-information, a linear quadratic game scheme is designed to reduce the fuel cost of the evaders and the norm-bounded differential game approach is adopted to obtain the guidance scheme, which ensures that the evaders lure two pursuers into collision and successfully avoid the interception of the pursuers. Furthermore, for the incomplete-information circumstance, there are four combinations of the pursuers’ guidance schemes to form as a finite set. And the smooth variable sliding filter is injected into the interacting multiple model algorithm to estimate the pursuers’ unknown information, which identifies the pursuers’ guidance schemes by matching the different information modes in parallel. 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