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P. 121

Chapter 8




                 Application Examples in the


                 Robotics Domain






                 As pointed out before in the introduction, in the robotic domain the avail-
                 ability of sensorimotor transformations are a crucial issue. In particular,
                 the kinematic relations are of fundamental character. They usually describe
                 the relationship between joint, and actuator coordinates, and the position
                 in one, or several particular Cartesian reference frames.

                     Furthermore, the effort spent to obtain and adapt these mappings plays
                 an important role. Several thousand training steps, as required by many
                 former learning schemes, do impair the practical usage of learning meth-
                 ods in the domain of robotics. Here the wear-and-tear, but especially the
                 needed time to acquire the training data must be taken into account.

                     Here, the PSOM algorithm appears as a very suitable learning approach,
                 which requires only a small number of training data in order to achieve a
                 very high accuracy in continuous, smooth, and high-dimensional map-
                 pings.



                 8.1 Robot Finger Kinematics


                 In section 2.2 we described the TUM robot hand, which is built of several
                 identical finger modules. To employ this (or a similar dextrous) robot hand
                 for manipulation tasks requires to solve the forward and inverse kine-
                 matics problem for the hand finger. The TUM mechanical design allows
                 roughly the mobility of the human index finger. Here, a cardanic base joint



                 J. Walter “Rapid Learning in Robotics”                                                 107
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