Robust mixed $$H_2 /H_\infty $$ active control for offshore steel jacket platform.

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Bibliographic Details
Title: Robust mixed $$H_2 /H_\infty $$ active control for offshore steel jacket platform.
Authors: Yang, Jia
Source: Nonlinear Dynamics; Oct2014, Vol. 78 Issue 2, p1503-1514, 12p
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. [ABSTRACT FROM AUTHOR]
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Database: Complementary Index
Description
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. [ABSTRACT FROM AUTHOR]
ISSN:0924090X
DOI:10.1007/s11071-014-1531-x