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Received:December 13, 2011Revised:June 03, 2012 |
基金项目:This work was supported by the National Natural Science Foundation of China (No. 61203060), the Natural Science Foundation of Guangdong Province (No. S2011040005707), the Specialized Research Fund for the Doctoral Program of Higher Education (No. 20120172120033), the Fundamental Research Funds for the Central Universities of SCUT (No. 2011ZZ0020), and the Special Funds for Safety Production of Guangdong Province (No. 2010-95). |
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Modeling and boundary control of a flexible marine riser coupled with internal fluid dynamics |
Yu LIU,Haowei HUANG,Hongxia GAO,Xinsheng WU |
(College of Automation Science and Engineering, and Engineering Research Center for Precision Electronic Manufacturing Equipment of Ministry of Education, South China University of Technology) |
Abstract: |
In this paper, vibration reduction of a flexible marine riser with time-varying internal fluid is studied by using boundary control method and Lyapunov’s direct method. To achieve more accurate and practical riser’s dynamic behavior, the model of marine riser with time-varying internal fluid is modeled by a distributed parameter system (DPS) with partial differential equations (PDEs) and ordinary differential equations (ODEs) involving functions of space and time. The dynamic responses of riser are completely different if the time-varying internal fluid is considered. Boundary control is designed at the top boundary of the riser based on original infinite dimensionality PDEs model and Lyapunov’s direct method to reduce the riser’s vibrations. The uniform boundedness and closed-loop stability are proved based on the proposed boundary control. Simulation results verify the effectiveness of the proposed boundary control. |
Key words: Marine riser Boundary control Lyapunov’s direct method Stability Internal fluid |