Geodesic
Motion planning and feedback control for a unicycle in a way point following task: The VFO approach
International Journal of Applied Mathematics and Computer Science, Tome 19 (2009) no. 4, pp. 533-545.

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This paper is devoted to the way point following motion task of a unicycle where the motion planning and the closed-loop motion realization stage are considered. The way point following task is determined by the user-defined sequence of way-points which have to be passed by the unicycle with the assumed finite precision. This sequence will take the vehicle from the initial state to the target state in finite time. The motion planning strategy proposed in the paper does not involve any interpolation of way-points leading to simplified task description and its subsequent realization. The motion planning as well as the motion realization stage are based on the Vector-Field-Orientation (VFO) approach applied here to a new task. The unique features of the resultant VFO control system, namely, predictable vehicle transients, fast error convergence, vehicle directing effect together with very simple controller parametric synthesis, may prove to be useful in practically motivated motion tasks.
Keywords: unicycle, way point following, motion planning, feedback control, vector fields
Mots-clés : planowanie ruchu, sterowanie zamknięte, pole wektorowe 
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Michałek, M.; Kozłowski, K. Motion planning and feedback control for a unicycle in a way point following task: The VFO approach. International Journal of Applied Mathematics and Computer Science, Tome 19 (2009) no. 4, pp. 533-545. http://geodesic.mathdoc.fr/item/IJAMCS_2009_19_4_a1/

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