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Dynamic Manipulation Based on Thumb Opposability  159


               Minimal  requirement
                  Stable grasp
                 (opposed controller)

                                  +              +





                      Option  Position control  Orientation control  Stable grasp
                             (impedance controller)  (impedance controller)  +
                                                                 Position control
                                                                      +
                                                                Orientation control





              Fig. 8.9 Superposition of control inputs.

              where θ oci and θ oci * are current and desired orientations of the grasped
              object described in a local coordinate, and J oci corresponds its Jacobian
              matrix. The precise control of position and orientation requires precise
              object geometry. However, we would like to avoid using geometry to
              increase the robustness of object modeling. Then, x pci and θ pci can be used
              as the position and orientation of an approximate object that are functions of
              the finger kinematics, such as the center of the fingertips, by sacrifices of the
              precision.


              8.4 SUPERVISORY CONTROL AND AUTONOMY OF GRASP
              AND MANIPULATION

              For the implementation of grasping and manipulation, high-level controllers
              are needed to select a task. In this section, we introduce two different high-
              level control systems, supervisory control and semiautonomy, to implement
              grasp and manipulation. These control systems have different levels of
              autonomy. A computer shares the motion planning, as shown in Fig. 8.1,
              with an operator in the supervisory control, while automatically executing
              the planning in semiautonomy.
                 Fig. 8.10 shows the supervisory control system consisting of an operator
              with master devices, a task selector, controllers, and a robotic hand. The
              operator observes the hand and transmits two different types of information
              to the task selector and the controllers by using a Phantom Omni and 5DT
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