Design and stabilization analysis of luxury cruise with dynamic positioning systems based on sampled-data control

Abstract

This paper studies the sampled-data control issue for a luxury cruise (LC) with dynamic positioning system (DPS). The design method and mathematical model of LC is given. By constructing an improved time-dependent Lyapunov-Krasovskii function (LKF) by adding new useful terms, the sampling pattern is fully captured and less conservatism of the results are obtained. Based on the constructed the LKF, the new stability criterion is obtained and the sampled-data controller for LC with DPS is designed. Finally, an example is exhibited to prove that the proposed approach is valid and applicable.

Keywords

• luxury cruise
• dynamic positioning system
• sampled-data control
• lyapunov-krasovskii functional
• linear matrix inequality