Page 11 - Human Inspired Dexterity in Robotic Manipulation
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Background: Dexterity in Robotic Manipulation by Imitating Human Beings  5


                                       x
                                     m€¼ kx d _x + f :                    (1.3)
                 If letting f be the input, Eq. (1.3) can be formulated as the form of state
              equation as follows.

                             _ x      0      1     x        0
                                ¼                      +        f         (1.4)
                             € x     k=m  d=m       _ x   1=m

              1.2.3 Mechanical Impedance

              The concept of mechanical impedance came from the concept of electrical
              impedance and represents the dynamics of the system by the model of mass,
              damper, and spring (1.3). If changing Eq. (1.3) as a form of the relationship
              between force (left side) and motion (right side), the mechanical impedance
              can be represented by Eq. (1.5). For more details, please see robotic text
              books such as [2].

                                           x
                                       f ¼ m€+ d _x + kx                  (1.5)

              1.2.4 Fundamental Grasping Style
              There are several grasping styles, but the most popular and fundamental ones
              are precision grasp and power grasp, as illustrated in Fig. 1.2. For the pre-
              cision grasp, only fingertip areas are utilized for grasping, and the mobility
              of objects is good. An in-hand manipulation can be then realized for this
              style. For the power grasp, the object is enveloped by several parts of a hand,
              and the motion of the object is restrained. However, the graspable weight is
              big, and uncertain disturbances can be easily balanced. For more details,
              please see text books such as [3].


















              Fig. 1.2 Fundamental grasping style; (A) precision grasp and (B) power grasp.
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