Boundary stabilization of extensible and unshearable marine risers with large in-plane deflection
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© 2016 Elsevier LtdThis paper proposes a constructive design of boundary controllers for globally (practically) K8-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.
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