Abstract
A combination of a model-free control law at the dynamic level and a guidance law at the kinematic level is proposed for the tracking of an underactuated underwater robot vehicle. The closed-loop system gives rise to chattering-free integral sliding modes for local exponential tracking of actuated coordinates, while ensuring a global stable internal dynamics under certain conditions easy to meet in practice. The design methodology relies on a careful manipulation of the quasi-lagrangian model of the underwater vehicle with a control law that is independent of dynamic model and its parameters assuming full access to the state. Comparative simulations versus a PID show the feasibility and robust behavior under parametric and model uncertainties.
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