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Nonlinear Dynamics

, Volume 78, Issue 2, pp 1503–1514 | Cite as

Robust mixed \(H_2 /H_\infty \) active control for offshore steel jacket platform

  • Jia Sheng Yang
Original Paper

Abstract

This paper presents a robust mixed \(H_2 /H_\infty \) control method for wave-excited offshore jacket platforms. Its objective was to design a controller that minimizes the upper bound of the \(H_2 \) performance measure on platform dynamics satisfying some \(H_\infty \) norm bound constraint simultaneously. Based on mixed \(H_2 /H_\infty \) control theory and linear matrix inequality techniques, a novel approach to stabilize offshore platform vibration with constrained \(H_2 /H_\infty \) performances is proposed. Uncertainties of the wave excitation are considered in dynamic performance analysis of offshore platforms. A reduced mode offshore platform structure under wave excitation is analyzed, and simulations are used to verify the effectiveness of the proposed approach. Compared with existing \(H_\infty \) control methods, the proposed approach makes a significant improvement for dynamic performances of offshore platforms under random wave excitation.

Keywords

Offshore platform Active control \(H_2 /H_\infty \) Wave excitation 

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Department of Civil and Environmental EngineeringNational University of SingaporeSingaporeSingapore

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