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The design of an adaptive controller using state-feedback linearization applied to maritime vessels is considered a fundamental element in the shipping industry due to its operational relevance, sustainability, energy efficiency, and safety. Its objective is to design an adaptive controller to optimize the efficiency and performance of maritime vessels. The methodology is based on analytical mechanics and the use of analytical geometry, applying Lie derivatives to obtain the system outputs and determine its checksibility and observability. The second Lyapunov stability criterion is used to establish its stability, and its gain is determined using the Cayley-Hamilton method. MATLAB was used as the primary tool for analyzing the system's signals, variables, and components. The results were validated by comparing the signals, achieving an approximate performance of 98% and a 2% error margin. It was demonstrated that the adaptive controller using state linearization was able to respond effectively to external and internal bifurcations, improving the efficiency and performance of maritime vessels. Consequently, the research followed a quantitative approach and was classified as application-level, since its methodology is directly transferable to real ships.