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Modeling and boundary control of a flexible marine riser coupled with internal fluid dynamics

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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.

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Authors and Affiliations

  1. College of Automation Science and Engineering, and Engineering Research Center for Precision Electronic Manufacturing Equipment of Ministry of Education, South China University of Technology, Guangzhou Guangdong, 510641, China

    Yu Liu, Haowei Huang, Hongxia Gao & Xinsheng Wu

Authors
  1. Yu Liu
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  2. Haowei Huang
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  3. Hongxia Gao
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  4. Xinsheng Wu
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Corresponding author

Correspondence to Yu Liu.

Additional information

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).

Yu LIU received his Ph.D. degree from the College of Automation Science and Engineering (CASE), South China University of Technology (SCUT) in 2009. He is currently a lecture in CASE, SCUT. His current research interests include distributed parameter system, marine cybernetics and robotics.

Haowei HUANG received his B.E. degree in Automation from South China Agricultural University in 2011. He is currently working towards the M.E. degree in SCUT. His current research interests include distributed parameter systems.

Hongxia GAO is an associate professor in CASE, SCUT. Her research interests include marine riser cybernetics and computer vision.

Xinsheng WU is an associate professor in CASE, SCUT. His research interests include robust control, marine cybernetics and robotics.

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Liu, Y., Huang, H., Gao, H. et al. Modeling and boundary control of a flexible marine riser coupled with internal fluid dynamics. J. Control Theory Appl. 11, 316–323 (2013). https://doi.org/10.1007/s11768-013-1245-5

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  • DOI: https://doi.org/10.1007/s11768-013-1245-5

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