Performance‐based near‐optimal vibration control for nonlinear offshore platforms with delayed input

This paper investigates the vibration control problem for offshore platform, where the nonlinear characteristics, delayed input and external wave force are considered in time domain. By introducing a delay‐free reconstructional vector and applying the maximum principle, the original vibration proble...

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Bibliographic Details
Published in:Asian journal of control 2021-01, Vol.23 (1), p.513-524
Main Authors: Zhong, Xiao‐Fang, Han, Shi‐Yuan, Zhou, Jin, Chen, Yue‐Hui, Tang, Gong‐You
Format: Article
Language:English
Subjects:
Boundary value problems
delayed input
Differential equations
Iterative algorithms
Iterative methods
MacLaurin series
Maximum principle
Nonlinear control
nonlinear system
Offshore
Offshore drilling rigs
offshore platform structure
Offshore platforms
optimal control
Performance indices
Vibration control
Wave forces
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Summary:This paper investigates the vibration control problem for offshore platform, where the nonlinear characteristics, delayed input and external wave force are considered in time domain. By introducing a delay‐free reconstructional vector and applying the maximum principle, the original vibration problem for offshore platform is formulated as a nonlinear two‐point‐boundary‐value (TPBV) problem with delayed items. The major contribution of this paper is that a performance‐based near‐optimal vibration control strategy is proposed by solving this nonlinear TPBV problem, which includes a feedback item with offshore platform system state, a feedforward item with wave force state, and a compensator for nonlinear and delayed items with infinite supersensitive component. In particular, the designed compensator is calculated from two group series of linear differential equations by introducing a parameter for expending the Maclaurin series of nonlinear and delay items. Meanwhile, an iterative algorithm is designed to make the proposed vibration control scheme computable based on the control performance in each iterative procedure. Finally, experimental results show that the displacement, velocity and performance index of an employed offshore platform achieved small values under the proposed control strategy and designed algorithm.
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.2227