The increasing development of Autonomous Underwater Vehicles (AUVs) with varying levels of autonomy can be seen globally. The paper is devoted to the new AUV called PAST being developed and built within the Polish development project entitled „Development of the underwater autonomous transport system” (no. POIR.01.01.01-00-0893/20). Mainly, the paper focuses on high-level control of PAST AUV devoted to controlling along the desired trajectory. It demands a set of tuned controllers of advanced velocity, course, depth, and trim. The trajectory tracking algorithm should be implemented and verified for different trajectories set in practice. At the beginning of the article, an introduction to the research is inserted. Then, the following scientific issues are presented: the mathematical model of AUV motion, high-level control structure, and the trajectory tracking algorithm. Next, the results of numerical research in the MATLAB environment are presented. In the end, the conclusions for future research are formulated.
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