Design of Lyapunov Rule Based Model Reference Adaptive Control with Decoupler for Petroleum Distillation Column Control

Design of Lyapunov Rule Based Model Reference Adaptive Control with Decoupler for Petroleum Distillation Column Control | 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 Design of Lyapunov Rule Based Model Reference Adaptive Control with Decoupler for Petroleum Distillation Column Control Kbrom Tekulu Desta, Mebrahatom Yihdego Mekonen, Abrham Mamu Abebe, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7324049/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 14 You are reading this latest preprint version Abstract The petroleum industry heavily relies on distillation as a key separation technique for product purification. Distillation columns, which include components such as trays, reboilers, condensers, and reflux drums, are essential for achieving efficient separations. However, controlling these columns is challenging due to their highly nonlinear nature, interactions between variables, and operational disturbances. Traditional Proportional-Integral-Derivative (PID) controllers, while widely used, struggle with multiple inputs and outputs, lack adaptability, and fail to handle dynamic changes effectively. This study introduces a Model Reference Adaptive Controller (MRAC) utilizing the Lyapunov adaptation rule to overcome existing challenges. The MRAC is implemented on a decoupled model of a petroleum distillation column, and its effectiveness is evaluated against a traditional PID controller. Simulation outcomes reveal that the MRAC outperforms the PID controller, exhibiting quicker response rates, minimized overshoot, and enhanced disturbance rejection capabilities. These findings suggest that the MRAC is a more efficient and robust control strategy for petroleum distillation column operations. For Liquefied petroleum gas (LPG) concentration, the MRAC improves rise time, settling time, and overshoot by 22.63%, 39.39%, and 34.23%, respectively, compared to the PID controller. Similarly, for gasoline concentration, improvements of 22.79%, 41.18%, and 40.26% are observed. Overall, MRAC outperforms PID controllers in stability and performance. When tested with a disturbance signal after settling time, MRAC demonstrates superior robustness and disturbance rejection capabilities. Petroleum Distillation Column Decoupling Mechanism Lyapunov-Based Adaptation Model Reference Adaptive Control (MRAC) Relative Gain Array (RGA) Proportional-Integral-Derivative (PID) Controller Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 07 Nov, 2025 Reviews received at journal 27 Sep, 2025 Reviews received at journal 25 Sep, 2025 Reviews received at journal 22 Sep, 2025 Reviews received at journal 18 Sep, 2025 Reviewers agreed at journal 18 Sep, 2025 Reviewers agreed at journal 17 Sep, 2025 Reviewers agreed at journal 17 Sep, 2025 Reviewers agreed at journal 17 Sep, 2025 Reviewers invited by journal 17 Sep, 2025 Editor invited by journal 08 Sep, 2025 Editor assigned by journal 05 Sep, 2025 Submission checks completed at journal 04 Sep, 2025 First submitted to journal 04 Sep, 2025 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-7324049","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":520629954,"identity":"205a31e5-bd70-4003-9b04-804cab9eddbc","order_by":0,"name":"Kbrom Tekulu 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Control","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"discover-applied-sciences","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"","sideBox":"Learn more about [Discover Applied Sciences](https://link.springer.com/journal/42452)","snPcode":"42452","submissionUrl":"https://submission.springernature.com/new-submission/42452/3","title":"Discover Applied Sciences","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Discover Series","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"Petroleum Distillation Column, Decoupling Mechanism, Lyapunov-Based Adaptation, Model Reference Adaptive Control (MRAC), Relative Gain Array (RGA), Proportional-Integral-Derivative (PID) Controller","lastPublishedDoi":"10.21203/rs.3.rs-7324049/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7324049/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe petroleum industry heavily relies on distillation as a key separation technique for product purification. Distillation columns, which include components such as trays, reboilers, condensers, and reflux drums, are essential for achieving efficient separations. However, controlling these columns is challenging due to their highly nonlinear nature, interactions between variables, and operational disturbances. Traditional Proportional-Integral-Derivative (PID) controllers, while widely used, struggle with multiple inputs and outputs, lack adaptability, and fail to handle dynamic changes effectively. This study introduces a Model Reference Adaptive Controller (MRAC) utilizing the Lyapunov adaptation rule to overcome existing challenges. The MRAC is implemented on a decoupled model of a petroleum distillation column, and its effectiveness is evaluated against a traditional PID controller. Simulation outcomes reveal that the MRAC outperforms the PID controller, exhibiting quicker response rates, minimized overshoot, and enhanced disturbance rejection capabilities. These findings suggest that the MRAC is a more efficient and robust control strategy for petroleum distillation column operations. For Liquefied petroleum gas (LPG) concentration, the MRAC improves rise time, settling time, and overshoot by 22.63%, 39.39%, and 34.23%, respectively, compared to the PID controller. Similarly, for gasoline concentration, improvements of 22.79%, 41.18%, and 40.26% are observed. Overall, MRAC outperforms PID controllers in stability and performance. When tested with a disturbance signal after settling time, MRAC demonstrates superior robustness and disturbance rejection capabilities.\u003c/p\u003e","manuscriptTitle":"Design of Lyapunov Rule Based Model Reference Adaptive Control with Decoupler for Petroleum Distillation Column Control","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-09-26 03:28:20","doi":"10.21203/rs.3.rs-7324049/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2025-11-07T13:11:04+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-09-27T14:37:45+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-09-25T14:09:46+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-09-22T09:23:00+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-09-18T07:04:45+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"124080120785977332798428223320617871628","date":"2025-09-18T04:26:30+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"80283416416756574403765597096894786292","date":"2025-09-17T09:50:30+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"81688534346925962411479714681239155126","date":"2025-09-17T07:26:54+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"175569368502524553935347251504769980042","date":"2025-09-17T07:05:34+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-09-17T06:57:42+00:00","index":"","fulltext":""},{"type":"editorInvited","content":"","date":"2025-09-08T08:48:14+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2025-09-05T12:06:04+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2025-09-04T09:37:22+00:00","index":"","fulltext":""},{"type":"submitted","content":"Discover Applied Sciences","date":"2025-09-04T09:28:47+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"discover-applied-sciences","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"","sideBox":"Learn more about [Discover Applied Sciences](https://link.springer.com/journal/42452)","snPcode":"42452","submissionUrl":"https://submission.springernature.com/new-submission/42452/3","title":"Discover Applied Sciences","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Discover Series","inReviewEnabled":true,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"b439f5eb-08ee-473d-9ae1-e9af273f9006","owner":[],"postedDate":"September 26th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2025-12-12T08:39:07+00:00","versionOfRecord":[],"versionCreatedAt":"2025-09-26 03:28:20","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7324049","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7324049","identity":"rs-7324049","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}