Boundary stabilization of extensible and unshearable marine risers with large in-plane deflection

• Autores: K.D. Do, A.D. Lucey
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 77, 2017, págs. 279-292
• Idioma: inglés
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• Resumen

  • 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.