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A continuous, time-varying tracking controller is designed that globally exponentially forces the position/orientation tracking error of an underactuated surface vessel to a neighborhood about zero that can be made arbitrarily small i.e. global uniformly ultimately boundedness (GUUB). The result is facilitated by fusing a filtered tracking error transformation with a dynamic oscillator design. We also illustrate that the proposed tracking controller yields a GUUB result for the regulation problem.
Behal et al. (Fri,) studied this question.