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

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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.

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, National University of Singapore, Singapore, Singapore

    Jia Sheng Yang

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  1. Jia Sheng Yang
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Correspondence to Jia Sheng Yang.

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Yang, J.S. Robust mixed \(H_2 /H_\infty \) active control for offshore steel jacket platform. Nonlinear Dyn 78, 1503–1514 (2014). https://doi.org/10.1007/s11071-014-1531-x

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  • DOI: https://doi.org/10.1007/s11071-014-1531-x

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