Abstract
This paper investigates the depth control problem for autonomous underwater vehicles (AUVs) by developing a novel fuzzy memorized sampled-data controller. In particular, the mixed $$H_{\infty }$$ and passive performance index is considered for disturbances in more practical underwater environments. By means of the Lyapunov–Krasovskii functional method, sufficient criteria are established such that the desired depth can be stabilized while satisfying the prescribed mixed $$H_{\infty }$$ and passive performance. Then, the desired fuzzy memorized controller is designed in terms of linear matrix inequalities (LMIs). Finally, an illustrative example is provided for demonstrating the feasibility and effectiveness of our derived results.
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