On Thu, 1 Nov 2012, EBo wrote:

> Date: Thu, 01 Nov 2012 09:47:30 -0400
> From: EBo <e...@sandien.com>
> Reply-To: EMC developers <emc-developers@lists.sourceforge.net>
> To: emc-developers@lists.sourceforge.net
> Subject: Re: [Emc-developers] ferror calculation incorrect in motion
> 
> This is exactly why I asked for references so we could look at the
> mathematical definitions and either experiment with working machines or
> at least develop a simulation model which stress tests the various
> aspects of the two approaches.  I would rather a fully principled
> approach to this (including reviewing the math) than the current list
> thread direction.

This is really simple

http://en.wikipedia.org/wiki/PID_controller

Note that the first paragraph says:

'A PID controller calculates an "error" value as the difference between a 
measured process variable and a desired setpoint. The controller attempts to 
minimize the error by adjusting the process control inputs.'

This is certainly my understanding (that the task of the PID controller 
is to minimize its input error)

The current situation is that the PID loop and ferror have different setpoints 
but the same "process variable" so if you tune to minimize ferror you need to 
force the PID loop to minimize something different than its input error. This 
makes the integral term mostly unuseable (since the intergral term will force 
the input error to 0 and generate a ferror proportional to 
velocity*sampletime)

Peter Wallace
Mesa Electronics

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