The robust control scheme for a kind of Markovian jump nonlinear systems via fully actuated system approaches

The robust control scheme for a kind of Markovian jump nonlinear systems via fully actuated system approaches | 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 The robust control scheme for a kind of Markovian jump nonlinear systems via fully actuated system approaches Hui-Jie Sun, Yu-Yao Wu, Jinxiu Zhang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7182227/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 13 Jan, 2026 Read the published version in Nonlinear Dynamics → Version 1 posted 15 You are reading this latest preprint version Abstract The robust control method for a kind of the Markovian jump nonlinear systems is investigated in this paper based on the fully actuated characteristics for the first time. The nonlinear terms in the Markovian jump nonlinear system is canceled out by utilizing the fully actuated system approach. With this, a robust control strategy is proposed by incorporating the linear quadratic regulator. The proposed robust control strategy can arbitrarily adjust the closed-loop system dynamic characteristics by using the pole configuration principle. However, acquiring nonlinear terms in the controller is a difficult problem. For this reason, by using a neural network to fit the nonlinear term and considering the disturbance, an improved robust control strategy is proposed by combining with the sliding mode control technique. Some convergence results are given for the developed control methods. The validity and advantages of the improved robust control strategy present in this paper are verified by some numerical simulation examples. Mathematics Subject Classification (2020) MSC code1 · MSC code2 · more Markovian jump nonlinear system robust control fully actuated method sliding mode control Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 13 Jan, 2026 Read the published version in Nonlinear Dynamics → Version 1 posted Editorial decision: Revision requested 27 Aug, 2025 Reviews received at journal 23 Aug, 2025 Reviews received at journal 20 Aug, 2025 Reviewers agreed at journal 17 Aug, 2025 Reviewers agreed at journal 16 Aug, 2025 Reviews received at journal 15 Aug, 2025 Reviewers agreed at journal 14 Aug, 2025 Reviews received at journal 06 Aug, 2025 Reviews received at journal 04 Aug, 2025 Reviewers agreed at journal 30 Jul, 2025 Reviewers agreed at journal 29 Jul, 2025 Reviewers invited by journal 29 Jul, 2025 Editor assigned by journal 27 Jul, 2025 Submission checks completed at journal 23 Jul, 2025 First submitted to journal 21 Jul, 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. 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