4.6 Article

Modeling and Vibration Control for a Moving Beam With Application in a Drilling Riser

Journal

IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY
Volume 25, Issue 3, Pages 1036-1043

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCST.2016.2577001

Keywords

Boundary control; distributed parameter system; drilling riser; flexible structure; moving beam; vibration control

Funding

  1. National Natural Science Foundation of China [61522302]
  2. National Basic Research Program of China (973 Program) [2014CB744206]
  3. Fundamental Research Funds for the China Central Universities [FRF-TP-15-005C1]

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In this brief, a boundary control scheme is designed to suppress the vibration for a nonlinear drilling riser system. Considering the varying length, varying tension, and varying speed of the riser, the drilling riser is modeled as a moving Euler-Bernoulli beam system, which is described by a partial differential equation and four ordinary differential equations. Employing the Lyapunov's direct method, boundary control is proposed to guarantee the closed-loop system being exponentially stable. Extensive numerical simulations are presented to show the effectiveness of the proposed control law.

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