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Chapter 2. Prehension

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132 THE PHASES OF PREHENSION<br />

MODEL<br />

NETWORK<br />

NETWORK<br />

Figure 5.8. Jordan’s network for computing inverse kinematics of<br />

a sequence of actions. It consists of two networks. The upper one,<br />

the Model Network, computes the forward kinematics for the<br />

manipulator. The lower one, the Sequential Network, computes the<br />

trajectory in joint space that will bring the endpoint of the<br />

manipulator to the desired hand space locations. In the inset, the<br />

six degree of freedom manipulator is seen, consisting of two<br />

translational degrees of freedom and four rotational ones (from<br />

Jordan, 1988; adapted by permission).<br />

reduce this difference. Computing the forward kinematics in this<br />

manner took about 2000 times of repeated trials, converging on a<br />

solution when the difference, or error, between the desired and actual<br />

endpoint was reduced to almost zero.<br />

During the second phase, the sequence of kinematic configurations<br />

is learned using the Sequential Network (bottom half of the figure).<br />

The state units are initialized to a time step of 0. A plan (a sequence of<br />

goal locations) is presented to the plan units. For a given time step, a<br />

joint configuration is computed in a method similar to that described

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