{"title":"Boundary Control of Coupled Hyperbolic PDEs for Two-dimensional Vibration Suppression of a Deep-sea Construction Vessel","authors":"Ji Wang, M. Krstić","doi":"10.23919/ACC45564.2020.9147330","DOIUrl":null,"url":null,"abstract":"This paper presents a state-feedback boundary control design of a class of coupled hyperbolic PDE-ODE systems, characterized by spatially-varying coefficients and a time-varying domain, which physically describes lateral-longitudinal coupled vibrations of a deep-sea construction vessel used to install oil drilling equipment on the seafloor in deep-sea oil exploration. The exponential stability of the closed-loop system is proved via Lyapunov analysis. Effective suppression of lateral-longitudinal coupled vibrations in the deep-sea construction vessel by the designed controller is verified via numerical simulation.","PeriodicalId":288450,"journal":{"name":"2020 American Control Conference (ACC)","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 American Control Conference (ACC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/ACC45564.2020.9147330","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
This paper presents a state-feedback boundary control design of a class of coupled hyperbolic PDE-ODE systems, characterized by spatially-varying coefficients and a time-varying domain, which physically describes lateral-longitudinal coupled vibrations of a deep-sea construction vessel used to install oil drilling equipment on the seafloor in deep-sea oil exploration. The exponential stability of the closed-loop system is proved via Lyapunov analysis. Effective suppression of lateral-longitudinal coupled vibrations in the deep-sea construction vessel by the designed controller is verified via numerical simulation.
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