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Performance‐based near‐optimal vibration control for nonlinear offshore platforms with delayed input
Author(s) -
Zhong XiaoFang,
Han ShiYuan,
Zhou Jin,
Chen YueHui,
Tang GongYou
Publication year - 2021
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2227
Subject(s) - control theory (sociology) , nonlinear system , displacement (psychology) , vibration , time domain , feed forward , series (stratigraphy) , frequency domain , computer science , vibration control , engineering , mathematics , control engineering , control (management) , mathematical analysis , artificial intelligence , physics , psychology , paleontology , quantum mechanics , computer vision , psychotherapist , biology
Abstract 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.