Stochastic boundary control design for extensible marine risers in three dimensional space

详细信息    查看全文

• 作者：K.D. Do ^{duc@curtin.edu.au}Author Vitae
• 关键词：Marine riser ; Boundary control ; Stochastic evolution system ; Well-posedness ; pp-stability ; Hilbert space
• 刊名：Automatica
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：77
• 期：Complete
• 页码：184-197
• 全文大小：1014 K
• 卷排序：77

文摘

This paper presents a new design of boundary controllers for global practical K∞K∞-exponential pp-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 pp-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.