Drawing a Blank... Convert F(S) to Differential Equation ???

Old age is setting in... ol' foggy brain can't remember how to
re-write....

______1______
s^2 + A*s + B

as a differential equation.

...Jim Thompson

 

_Analog_ innovations? Doesn't this mean that you have it in a book from
your 2nd year in College?

Anyway:

X 1
- = ---------------
U s^2 + A*s + B

Therefore

(s^2 + A*s + B)X = U

Reverse Laplace of X is x, R.L of X*s is dx/dt, etc., so

d^2 d
---- x + A --- x + Bx = u
dt^2 dt

ta da.

Wanna see that in the z-domain, now?

 

Yes, I should have been able to do that, but I'm a wee bit slow today.
Drove 12 chanting girl scouts and their leader (my wife) to the
Prescott National Forest to camp yesterday. Driving a 15-passenger
van in a cross-wind plus all that noise really can wear you down ;-)

...Jim Thompson

 

Only 12 chanting girl scouts? If it were 13 I could understand, but 12?

I should stop, shouldn't I?