The application provides a robust reliable H∞ control method for offshore
steel jacket platform models, first establishes a
mathematical model of OSJPs, and considers the first main vibration mode. Then, a controller based on memory SDC is designed, which can realize effective control by reducing
data transmission amount under the condition that the state of the
continuous time system is only available at the sampling time. In addition, a back loop
function method, an integral inequality based on a free matrix (FMB) and a
linear matrix inequality (LMI) technology are introduced to obtain sufficient conditions about the uncertain offshore platform
system, so that the stabilization of the OSJPs is solved, and the reliable SDC design with disturbance suppression level is realized. The
simulation result of the application shows that the proposed method can not only effectively reduce the vibration of the OSJPs, but also maintain the stability of the
system in the case of model uncertainty and
actuator failure, proving the effectiveness and importance of the proposed control strategy.