Prev: Artesyn BAJA PPC 750
Next: FPGA Soft Core CPUs
From: RRogers on 18 Nov 2009 12:01
clip....
> They are all independent but the results at the temperature sensors
> will be from the sum of the 3 heaters.  This should hold true unless
> there is something that I don't know where superimposition doesn't
> apply.  The states for a system of SOPDT equations would simply have
> the temperature and the temperature rate at each of the 3 temperature
> sensors.  I don't see how the temperature at one sensor will affect
> another temperature since the temperature sensors are not heat
> sources.
>
> Peter Nachtwey

Your right; and I see how the dependent/independent has to be handled
for state-space representation. A state space reduction to a non-
singular matrix is required to make A nonsingular in the ABCD
representation.

> > t1'=A1*t1+B11*u1(t-dt11)+B12*u2(t-dt12)+B13*u3(t-dt13)+C
> > t2'=A2*t2+B21*u1(t-dt21)+B22*u2(t-dt22)+B23*u3(t-dt23)+C
> > t3'=A3*t3+B31*u1(t-dt31)+B32*u2(t-dt32)+B33*u3(t-dt33)+C

As a note:
In more complicated systems you need additional terms on the left.
m1*t1''' + n1*t1'' + p1*t1'
m2*t2''' + n2*t2'' + p2*t2'

Ray


First  |  Prev  | 
Pages: 1 2 3 4 5 6 7 8 9 10 11
Prev: Artesyn BAJA PPC 750
Next: FPGA Soft Core CPUs