Vessel Dynamic Positioning System Mathematical Model

Abstract

This study aims to examine two potential approaches for addressing the challenge of synthesizing control laws in the Dynamic Positioning (DP) system. Both approaches pertain to the same ship model but are rooted in distinct ideologies concerning how to account for the influence of external disturbances on a closed system. The findings of this investigation could offer valuable insights for enhancing DP systems and formulating more efficient management strategies in maritime conditions. The research delves into the structure and principles of the DP system as a sophisticated control complex, identifying associated challenges in its application. Despite numerous implemented projects and considerable developer efforts, sustaining a ship in a specified position during rough seas remains a formidable task, partly due to the ship’s lack of energy armament. Exploration in the realm of regulatory system development has yet to yield the anticipated results. The present study constructs a mathematical model depicting the dynamics of a ship during positioning, considering two versions of automatic control laws aimed at stabilizing the ship’s position. The second model demonstrates superior efficiency in the control system, surpassing the first by at least 14%. A comparative analysis of two control system options with filtering properties in dynamic positioning mode for the vessel was conducted. For better results, it is recommended to implement filtering on the relevant data source before this procedure on a specific data consumer. This preliminary testing helps to remove duplicate and inaccurate data, reducing the load on the data link. Final filtering should be performed on high-performance systems. In summary, the originality and novelty of this article stem from its comparative analysis of control laws, exploration of DP system dynamics, acknowledgment of existing challenges, and practical recommendations for data filtering in dynamic positioning. The study brings a tangible contribution to the field, paving the way for advancements in the development of DP systems management and control methods.