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Nonholonomic mechanisms geometry
Bartoňová, Ludmila ; Návrat, Aleš (oponent) ; Vašík, Petr (vedoucí práce)
This master's thesis deals with a description of a kinematic control model of nonholonomic mechanism, namely the robotic snake. The model is analysed by means of differential geometry. Next, its nilpotent approximation is derived. Local controllability is checked by the dimension of Lie algebra generated by the controlling vector fields and their Lie brackets. In the end, two simple motion planning algorithms, one on global and one on local control, are proposed, and the comparison of models is discussed.

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