Note on Signature of Trident Mechanisms with Distribution Growth Vector (4,7)

  • Stanislav FrolíkEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11472)


We recall some basic concepts of differential geometry and control theory and their application in robotics, namely we describe so called generalized trident snake robot with four control parameters. Indeed, we are working with a model that combines a robotic snake and Doubin car. We determine the controlling distribution and describe its properties. Consequently, we determine the signature corresponding to the mechanisms with four controlling parameters. This is essential for analysis of the underlying algebraic structure and allows us to choose suitable control model.


Non-holonomic system Trident robot Differential geometry Signature 



This research was supported by a grant of the Czech Science Foundation no. 17-21360S, “Advances in Snake-like Robot Control” and by a Grant No. FSI-S-17-4464.


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Authors and Affiliations

  1. 1.Faculty of Mechanical EngineeringBrno University of TechnologyBrnoCzech Republic

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