%0 Journal Article %T Local controllability of trident snake robot based on sub-Riemannian extremals %A Jaroslav Hrdina %J - %D 2017 %R DOI Code: 10.1285/i15900932v37suppl1p93 %X To solve trident snake robot local controllability by differential geometry tools, we construct a privileged system of coordinates with respect to the distribution given by Pffaf system based on local nonholonomic conditions and, furthermore, we construct a nilpotent approximation of the transformed distribution with respect to the given filtration. We compute normal extremals of sub-Riemanian structure, where the Hamiltonian point of view was used. We demonstrated that the extremals of sub-Riemannian structure based on this distribution play the similar role as classical periodic imputs in control theory with respect of our mechanism %K local controllability %K nonholonomic mechanics %K planar mechanisms %K sub-Riemannian geometry %K differential geometry %U http://siba-ese.unisalento.it/index.php/notemat/article/view/17176