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Abstract—Currently, there is a great scientific and technological interest in the development of mobile manipulators. It can be evidenced not only in the numerous scientific publications but also in research to develop applied technologies in this field. One of the challenges that has generated great interest is to obtain the Non-holonomic constrains of a mobile manipulator. Therefore, the main objective of this paper is to contribute to the knowledge to obtain the Non-holonomic constrains and therefore the coupled kinematic and dynamic model of a mobile manipulator.