Robust fault-tolerant H∞ control for offshore steel jacket platforms via sampled-data approach

•The sampled-data control for offshore steel jacket platform system is considered.•The measurements are sampled at a fixed time with probabilistic time-varying delays.•The uncertainties are assumed to be of the linear fractional transformation form.•The LKF is constructed using the lower and upper bounds of fast time-varying delays.

This paper addresses the issue of robust fault-tolerant sampled-data H∞ control for a class of uncertain offshore steel jacket platform systems with input random time-varying delays and linear fractional uncertainties. A new Lyapunov-Krasovskii functional (LKF) is constructed to obtain sufficient conditions under which the uncertain offshore platform system is robustly asymptotically stable with a disturbance attenuation level γ>0. Moreover, Jenson׳s integral inequality and zero valued free weighting matrix are utilized to simplify the derivation of the main results. Linear matrix inequality (LMI) based sufficient conditions are derived to guarantee the robust performance of the considered offshore steel jacket platform with a disturbance attenuation index. The proposed results can be used to attenuate the external disturbances to make ensure the safety and comfort level of the offshore structure. Finally, the results are verified with simulation results to show the effectiveness of the proposed control scheme.