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- Date: Thu, 21 Jan 1993 11:13:02 EST
- Sender: "Control Systems Group Network (CSGnet)" <CSG-L@UIUCVMD.BITNET>
- From: mmt@BEN.DCIEM.DND.CA
- Subject: Re: robotics and degrees of freedom
- Lines: 34
-
- [Martin Taylor 930121 11:00]
- (Bill Powers 930120.1530)
-
- >There's one thought to hold firmly in mind: it is highly unlikely
- >that the lower reaches of the brain and the cerebellum are
- >computing the quantitative inverse of a 6x6 (or when you come
- >down to it, a 26x26) matrix in order to move the limbs, walk,
- >balance, and so on, all at the same time and in real time. SO
- >THERE HAS TO BE A MUCH SIMPLER WAY.
-
- Without meaning to water down anything you say in the above or in the rest
- of this post, isn't it possible to see reorganization as a way of doing a
- reasonable approximation to a set of possible inverse kinematic solutions
- in far-from-real time? The signs of the output actions, I think, should
- at least match the signs of the exact solution. Later in the posting, you
- go so far as to make a quantitative relation between two reference signals
- being sent to different lower ECSs. If you allow this kind of relationship
- to be specified (I thought it was unnecessary), then reorganization might
- be bringing one ever closer to a set of exact solutions.
-
- (I say "set", because there are all sorts of conditions under which the
- appropriate sign changes, as in: "To move the fingertip upward in visual space,
- >either the vertical shoulder angle or the elbow angle should be
- >changed, or both. Put that way, the problem sounds ambiguous,
- >because whether crooking the elbow would raise or lower the
- >visual y position of the fingertip depends on how the arm is
- >configured relative to the line of sight from the eye.")
-
- If I am seeing this correctly, nature has evolved both a genetic and an
- adaptive (reorganization) way of providing approximate inverse kinematic
- solutions which reduce the load on the actual control systems, reducing
- the potential conflicts among them when they act in real time.
-
- Martin
-