Boundary stabilization of extensible and unshearable marine risers with large in-plane deflection. (March 2017)

• Record Type: Journal Article
• Authors: Do, K.D.; Lucey, A.D.
• Is Part Of: Automatica. Volume 77(2017)
• Page Start: 279
• Page End: 292
• Publication Date: 2017-03
• Subjects: Marine riser -- Large deflection -- Boundary control -- Practical K∞-exponential stability -- Hilbert space -- Evolution system; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2016.11.044
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper proposes a constructive design of boundary controllers for globally (practically) K ∞ -exponential stabilization of extensible and unshearable marine risers with large in-plane deflection under sea loads. Linearization or Maclaurin expansion of the strain and cross section rotation are not required. The control design is based on the Lyapunov direct method. Well-posedness and stability of the closed-loop system are analyzed by two Lyapunov-type theorems developed for study of existence and uniqueness, and stability of nonlinear evolution systems in Hilbert space.