Boundary control of transverse motion of flexible marine risers under stochastic loads
MetadataShow full item record
© 2018 Elsevier Ltd. All rights reserved.
A constructive design of boundary controllers is proposed to stabilize transverse motion of flexible marine risers under stochastic loads induced by restoring membrane and fluid/air velocity. For stability analysis and boundary control design, global well-posedness (existence and uniqueness) and global stability criteria are developed for nonlinear stochastic evolution systems in Hilbert space subject to both state-dependent and additive stochastic disturbances. These criteria are obtained by developing Lyapunov sufficient conditions from local well-posedness and stability results. The well-posedness and stability developments are not only applied to ensure well-posedness and almost sure (practical) stability of the variational (strong) solution of the stochastic riser system but also to other hyperbolic systems.
Showing items related by title, author, creator and subject.
Do, Khac Duc (2016)This paper derives several well-posedness (existence and uniqueness) and stability results for nonlinear stochastic distributed parameter systems (SDPSs) governed by nonlinear partial differential equations (PDEs) subject ...
Do, Khac Duc (2017)This paper presents a new design of boundary controllers for global practical K8-exponential p-stabilization of vibration motions of extensible marine risers in three-dimensional (3D) space under both stochastic and ...
Do, Khac Duc (2017)This paper considers modeling and boundary control of Timoshenko beams with large motions under both deterministic and stochastic external loads. The original nonlinear partial differential equations governing motion of ...