On Sat, 20 Oct 2018 06:38:20 -0400
Gene Heskett <[email protected]> wrote:

> On Saturday 20 October 2018 01:12:02 Nicklas Karlsson wrote:
> 
> > > > On 10/19/2018 2:12 PM, Nicklas Karlsson wrote:
> > > > > Probably not, I have done quite a lot of search on Internet,
> > > > > have a few books and have taken two courses specifically in the
> > > > > area but if you have readily available I could always take a
> > > > > look.
> > > > >
> > > > > I find a lot of documents about PID controllers and theory using
> > > > > bode, nyquist diagrams.
> > > > >
> > > > > I found state space feedback and bode, nyquist diagram are
> > > > > useful also for state feedback but then state space model is
> > > > > available I prefer method to calculate gains using the model. I
> > > > > could do state space feedback including integral action but get
> > > > > the feeling a chapter or so is missing, maybe I have to write it
> > > > > myself.
> > >
> > > Someone who really understands it needs to..  Whats out there tends
> > > to talk more theory than hardware. ...
> >
> > The hardware need to be properly modeled. There are plenty of
> > litterature available including for freely accesible on internet about
> > electric motors. Static friction may be a problem but I think a
> > properly lubricated machine have rather viscous friction which easy to
> > put in a mathematical model suitable for control of machine.
> 
> The std milling machine is a bigger problem WRG static friction than it 
> first appears, particularly the X motions. because the table is so long, 
> there's a huge disparity between the friction of the ways when the table 
> is centered vs when its at the end of its range.

Static friction is a problem since it is non linear and will most probably 
cause problem then changing direction. If force is known for different 
speeds/directions feed forward should be able to compensate and integrator may 
eventually integrate it but with slower response. Viscous friction varies 
linearly with speed, a constant multiplied by speed and will add dampening to 
system. I think a well lubricated machine will have viscous friction since 
shear friction force in oil film vary linearly with speed.

It is possible to use position dependent friction coefficient and I would guess 
linear interpolation would work well.

I have to digest the inductance matrix for three phase machines then I will 
probably have a rather good understanding of the most common electric motors: 
induction, PMSM, BLDC, synchronous reluctance and DC. Do anybody happen to know 
how to identify the constants in a linear state space model?


Regards, Nicklas Karlsson


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