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Robust Dissipative Sampled-data Control of Offshore Steel Jacket Platforms

This paper focuses on the robust dissipative control problem for Offshore Steel Jacket Platforms (OSJPs) under time-varying sampling intervals. System uncertainties are considered as norm-bounded time-varying structured uncertainty. A sampled-data controller with zero-order circuit is considered, while the OSJPs is designed as a continuous-time system. By using Linear Matrix Inequality (LMI) and Lyapunov-Krasovskii functional (LKF) techniques, sufficient conditions are obtained to guarantee the dissipative sampled-data system to be asymptotically stable and dissipative. The usefulness of this proposed method is demonstrated by designing the sampled-data controller for OSJPs.