Stochastic boundary control design for extensible marine risers in three dimensional space. (March 2017)

• Record Type: Journal Article
• Authors: Do, K.D.
• Is Part Of: Automatica. Volume 77(2017)
• Page Start: 184
• Page End: 197
• Publication Date: 2017-03
• Subjects: Marine riser -- Boundary control -- Stochastic evolution system -- Well-posedness -- p-stability -- Hilbert space; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2016.11.032
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper presents a new design of boundary controllers for global practical K ∞ -exponential p -stabilization of vibration motions of extensible marine risers in three-dimensional (3D) space under both stochastic and deterministic sea loads. The control design and analysis of well-posedness and stability of the closed-loop system are carried out based on a new Lyapunov-type theorem, which is developed for studying well-posedness and p -stability of a class of stochastic evolution systems (SESs) in Hilbert space. Since this theorem eases difficulties in verification of the coercivity condition but requires conditions of a form similar to Lyapunov-type theorems for stochastic lumped-parameter systems, it has a potential application to other stochastic distributed-parameter systems.