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

Zhe Zou; Minjie Zheng; Zhe Zou; Minjie Zheng

doi:10.3934/mbe.2023626

Mathematical Biosciences and Engineering

2023, Volume 20, Issue 8: 14026-14045. doi: 10.3934/mbe.2023626

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

Zhe Zou ¹,
Minjie Zheng ^{2
,
,}

1.
Arts and Design College, Jimei University, Jimei, Xiamen 361021, China
2.
Navigation College, Jimei University, Jimei, Xiamen 361021, China

Academic Editor: Xiaodi Li

Received: 31 March 2023 Revised: 28 May 2023 Accepted: 16 June 2023 Published: 25 June 2023

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.
- luxury cruise,
- dynamic positioning system,
- sampled-data control,
- Lyapunov-Krasovskii functional,
- linear matrix inequality
Citation: Zhe Zou, Minjie Zheng. Design and stabilization analysis of luxury cruise with dynamic positioning systems based on sampled-data control[J]. Mathematical Biosciences and Engineering, 2023, 20(8): 14026-14045. doi: 10.3934/mbe.2023626

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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.

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