Constraint-Depentdent Switching Event-Triggered Control for UncertainNonlinear Systems with State Constraints

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This paper develops an event-triggered controller for uncertain nonlinear systems with switching state constraints by transforming state boundedness into a new state's boundedness, ensuring states remain within constraints and all signals are globally bounded.

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The paper studies event-triggered control for a class of strict-feedback uncertain nonlinear systems subject to switching state constraints, where constraint boundaries can switch between bounded and unbounded regimes. Using an exponential nonlinear state-dependent function (ENSDF), it transforms the original state constraint satisfaction problem into a boundedness problem of a new state, enabling a constraint-dependent switching event-triggered controller that dynamically adjusts controller structure/parameters online as constraints switch. The authors theoretically prove that constraints are not violated, closed-loop signals remain globally bounded, and the tracking error converges to an adjustable compact set, with the caveat that the approach and guarantees are developed within the stated strict-feedback uncertain nonlinear system framework and the designed ENSDF/controller structure. This paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.

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Abstract This paper investigates the event-triggered control problem for a class of strict-feedback uncertain nonlinear systems with switching state constraints. The main challenges of such work arise from two aspects: (1) The state is not constrained at all moments, so the constraints on the state are not fixed, resulting in switches between bounded and unbounded constraints. The existing research is more suitable for bounded constraints. (2) Due to the presence of switching constraints, we aim to address these scenarios with varying control performance, existing research addresses this solely via offline tuning of the controller and its parameters. To solve the above problems, we develop a new exponential nonlinear state-dependent function (ENSDF). The ENSDF transforms the constraint problem of the original state into the boundedness problem of the new state, independent of the boundedness of the constraint boundaries. Then, a new constraint-dependent switching event-triggered controller is developed. The switching event-triggered controller based on ENSDF can dynamically adjust the controller and its parameters online to adapt to switching constraints. It is theoretically shown that the state does not violate the constraints, all closed-loop signals are globally bounded, and the tracking error converges towards an adjustable compact set.
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Constraint-Depentdent Switching Event-Triggered Control for UncertainNonlinear Systems with State Constraints | 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 Constraint-Depentdent Switching Event-Triggered Control for UncertainNonlinear Systems with State Constraints Yuang Liu, NA Duan, Can Li, Xuemei Liu, Changhui Wan, Quanbo Ge This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4668579/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 18 Oct, 2024 Read the published version in Nonlinear Dynamics → Version 1 posted 11 You are reading this latest preprint version Abstract This paper investigates the event-triggered control problem for a class of strict-feedback uncertain nonlinear systems with switching state constraints. The main challenges of such work arise from two aspects: (1) The state is not constrained at all moments, so the constraints on the state are not fixed, resulting in switches between bounded and unbounded constraints. The existing research is more suitable for bounded constraints. (2) Due to the presence of switching constraints, we aim to address these scenarios with varying control performance, existing research addresses this solely via offline tuning of the controller and its parameters. To solve the above problems, we develop a new exponential nonlinear state-dependent function (ENSDF). The ENSDF transforms the constraint problem of the original state into the boundedness problem of the new state, independent of the boundedness of the constraint boundaries. Then, a new constraint-dependent switching event-triggered controller is developed. The switching event-triggered controller based on ENSDF can dynamically adjust the controller and its parameters online to adapt to switching constraints. It is theoretically shown that the state does not violate the constraints, all closed-loop signals are globally bounded, and the tracking error converges towards an adjustable compact set. strict-feedback nonlinear systems state constraint nonlinear state-dependent function event-triggered control Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 18 Oct, 2024 Read the published version in Nonlinear Dynamics → Version 1 posted Editorial decision: Revision requested 16 Aug, 2024 Reviews received at journal 16 Aug, 2024 Reviews received at journal 30 Jul, 2024 Reviewers agreed at journal 26 Jul, 2024 Reviews received at journal 19 Jul, 2024 Reviewers agreed at journal 16 Jul, 2024 Reviewers agreed at journal 14 Jul, 2024 Reviewers invited by journal 03 Jul, 2024 Editor assigned by journal 03 Jul, 2024 Submission checks completed at journal 03 Jul, 2024 First submitted to journal 01 Jul, 2024 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. 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