Page 183 - Human Inspired Dexterity in Robotic Manipulation
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A Grasping and Manipulation Scheme  181


                    Table 9.6 Nominal desired grasping force and gains
                                   1.1 N
                    f d
                                   70.0
                    K p
                                   4.0   10  2
                    K o
                                   diag 0:07,0:07,0:05,0:03Þ 10  2  (Ns m/rad)
                                      ð
                    C 1
                                   diag 0:07,0:07,0:05,0:03Þ 10  2  (Ns m/rad)
                                      ð
                    C 2
                                   diag 0:07,0:07,0:05,0:03Þ 10  2  (Ns m/rad)
                                      ð
                    C 3
                                        Triple-fingered robotic hand
                           Micron tracker
                                            Marker








                                                   Object

              Fig. 9.9 Experimental setup.


                 In these experiments, the robotic hand had already grasped the object
              initially. Two types of experiments were performed, similar to the numerical
              simulations. One experiment used the proposed method, and the other used
              the previously proposed method. Fig. 9.10 shows the transient responses of
              the x component of the position of the measured-object frame, x. In this
              figure, x new represents the transient response of x(t   t delay ) when the pro-
              posed control inputs u p tðÞ and u o tðÞ are utilized, and x pre represents the tran-
              sient response of x(t   t delay ) when the previously proposed control inputs
                           (t) are utilized. Fig. 9.11 shows the transient responses of θ x ,
              u p real (t) and u o real
              which is the rotational angle around the x-axis expressed in terms of XYZ
                                         represents θ x (t   t delay ) when the proposed
              Euler angles. In this figure, θ x new
                                                          represents θ x (t   t delay )
              control inputs u p (t) and u o (t) are utilized, and θ x pre
                                                                  (t) are utilized.
              when the previously proposed control inputs u p real (t) and u o real
              In these figures, the position and orientation of the measured-object frame
              converge to the desired values when the new control inputs are used. How-
              ever, when the previous method is applied, the behavior of the overall sys-
              tem becomes unstable, and grasping of the object ultimately fails. Thus, it is
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