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Asymptotic stabilization of an underactuated surface vessel via logic-based control

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3 Author(s)
Tae-Han Kim ; Sch. of Electr. Eng. & Comput. Sci., Seoul Nat. Univ., South Korea ; Basar, T. ; In-Joong Ha

This paper describes a novel logic-based controller for the global asymptotic stabilization of an underactuated surface vessel, which has a larger degree-of-freedom than the number of control inputs. This system cannot be asymptotically stabilized using any time-invariant smooth feedback controller since the system violates the well-known Brockett's condition (1983). Thus, the proposed controller can be viewed as a time-varying controller devised to circumvent this limitation. It consists of a supervising logic unit and subordinate time-invariant controllers. The asymptotic stability is rigorously proven using Lyapunov analysis, and the practicality of the proposed algorithm is also demonstrated through the simulations of head-in parking and parallel parking.

Published in:

American Control Conference, 2002. Proceedings of the 2002  (Volume:6 )

Date of Conference:

2002