Proceedings of 35th IEEE Conference on Decision and Control
DOI: 10.1109/cdc.1996.574608
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Nonlinear tracking of underactuated surface vessels

Abstract: In this paper a control law for tracking of underactuated surface vessels is presented. Optimal trajectories for surface vessels are given as combinations of arcs of circles and line segments. It is shown how optimal trajectories can be made smooth by a technique called splines, and how these trajectories can be stabilized by backstepping. The control law depends on that the forward velocity of the surface vessel always is positive, which is not a major limitation for tracking urposes.It is also shown how this… Show more

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Cited by 101 publications
(70 citation statements)
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“…At home and abroad, there is a deep research on the track control of the USV, and there are many kinds of research methods, such as PID and improved PID, Lyapunov direct method, Backstepping design method,etc. Godhavn et al [1] designed a global exponential stabilization controller which can achieve good tracking performance in the external environment by using the Backstepping design method and feedback linearization, but the heading angle under the controller is not controlled. Pettersen et al [2] designed a trajectory tracker which can make underactuated ship's heading tracking error and position tracking error achieve exponential stability on the assumption that the expected heading angle acceleration is greater than zero conditions.…”
Section: Introductionmentioning
confidence: 99%
“…At home and abroad, there is a deep research on the track control of the USV, and there are many kinds of research methods, such as PID and improved PID, Lyapunov direct method, Backstepping design method,etc. Godhavn et al [1] designed a global exponential stabilization controller which can achieve good tracking performance in the external environment by using the Backstepping design method and feedback linearization, but the heading angle under the controller is not controlled. Pettersen et al [2] designed a trajectory tracker which can make underactuated ship's heading tracking error and position tracking error achieve exponential stability on the assumption that the expected heading angle acceleration is greater than zero conditions.…”
Section: Introductionmentioning
confidence: 99%
“…Tracking control of ships has mainly been based on linear models, steering the same number of degrees of freedom as the number of controls available. In Godhavn (1996) and Berge et al (1999) output tracking control based on non-linear models of the ship was investigated, and controllers providing global exponential stability of the desired trajectories were developed using feedback linearization. However, complete state tracking was not achieved as only the two position variables converge to their desired trajectories, while the course angle is not controlled.…”
Section: Introductionmentioning
confidence: 99%
“…Namely, in our case, two control inputs are used, surge and sway forces, the sway force being used to generate a yawing moment. Most controllers (see for example [3]- [6]) do not account for this sway force, consequently, they can not be expected to provide good performance if implemented on an actual vehicle using a propeller and a rudder, or a vectored thruster. In [2], the authors take into account such a coupling, however, their dynamic model does not allow to consider the type of propulsion we target.…”
Section: Introductionmentioning
confidence: 99%
“…Many controllers dealing with such a problem are available in the literature ( [2]- [6]). In [3], the case of a surface ship equipped with a pair of propellers is considered.…”
Section: Introductionmentioning
confidence: 99%