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Aside from being the traditional method used, W-space control has
some desirable properties:
- Interaction with the physical arm and its environment makes it
easier for the operator to visualize the global navigation, such as
to determine the next target configuration based on some scene
property; e.g. the operator may decide to move the arm such that its
left side will be in proximity of some object.
- If the obstacles layout is not of much constraint on the arm motion,
this approach can yield very good (near optimal in terms of path length
and time taken) results.
- Given the familiar physical layout, it may be easier for the
operator to benefit from memorization of motion and improve with
training.
However, this type of control also has some serious drawbacks which
may outweigh its positive sides:
- In tip-mode, calculating the inverse kinematics becomes
progressively more complex and time-consuming as the number of
joints increases.
- In a complex environment, the operator may have hard time
determining which direction of local motion is better, or whether a
given direction leads to a ``dead-end''. This is a serious drawback:
for example, in Figure 4 one can pass obstacle
with the
elbow to the left or to the right; one of those turns out to be wrong as it
leades to a dead end, and this would become clear only significantly
later. - From the standpoint of motion planning, a complex environment is not
necessarily one with many or with large obstacles; this is much
clearer in C-space (see Section 3) than in W-space.
Consequently, W-space control is likely to produce redundant motion:
as illustrated in Figure 4, the operator will often try, backtrack,
try again, backtrack again, and so on until the passage is found,
not rarely through blind luck. This also endangers the arm, as all
such motion multiplies potential collisions with surrounding
objects. While most people do benefit from a training period in
such systems, the training can be costly (in terms of equipment use
and damage inflicted on the arm) and time consuming.
Next: Configuration Space Control
Up: Work Space Control
Previous: Motion Control in W-space
Igor Ivanisevic
Tue Jul 22 15:07:45 CDT 1997