Pareto Effect of LMI for Ship Propulsion

The aim of this study was to analyze the dynamics of a multidimensional object based on the Pareto curve for the Linear Matrix Inequalities (LMI) controller. The study was carried out based on an available Blue Lady training vessel model controller with the use of a MATLAB and Simulink simulation package. Research was focused on optimising both the energy to be used when manoeuvring and the ship's dynamics. Analysis was combined with the application of H-2/H-infinity norms finding the Pareto optimal solution for mixed norms used at the gamma infinity parameter. Observations for a multidimensional ship model proved that it is possible to optimize the system, using principles of the Pareto curve, to reduce energy consumption in steering-propulsion systems while performing precise manoeuvres in ports correctly. Parameter values, received from observations of operation of individual steering-propulsion systems, proved to be reasonable.

Automated summary

This study analyzed the dynamics of a multidimensional object with an LMI controller based on the Pareto curve. Utilizing the Blue Lady training vessel model controller and MATLAB/Simulink, the research focused on optimizing energy usage and ship dynamics. By applying H-2/H-infinity norms, the study found the Pareto optimal solution for mixed norms to reduce energy consumption in steering-propulsion systems.