Control Theory Experiments

Hello,

I am writing up my PhD at the moment, and I was hoping someone would be
able to confirm some Laplace transform techniques that I have been
working with.

My thesis is on self-organising fuzzy logic control and for the past
month and a half I have been trying to replicate experiments published
by the original creator of the self-organising fuzzy logic controller
[1], so as to compare the original work with my own.

The original author's experiments use a transfer function

X(s)= (0.00375/((s+0.15)*(s+0.25)))*U

where U is the controller input to the system and X is the system
output.

From my reading I believe that to graph this in a time domain I have to
multiply it by 1/s and then get the inverse Laplace transform, am I on
the right track?

I have used Maple to calculate this and the resulting equation I am
using to graph my system is
x(t)=U[0.1-0.25*exp(-0.15t)+0.15*exp(-0.25t)], any idea if this is
correct ?

Any help with this would be greatly appreciated, as I have been going
round in circles for the past few weeks trying to figure it out, I just
need someone to confirm I'm going in the right direction.

Thank you for your time,
Ann


[1]. T. J. Procyk and E. H. Mamdani "A linguistic self-organizing
process controller" Automatica, Volume 15, Issue 1 , January 1979,
Pages 15-30

____________________________________
Ann Tighe,
Department of Information Technology,
National University of Ireland, Galway.
Ireland.

Email: ann.tighe@xxxxxxxxx
Website: http://geminga.it.nuigalway.ie/~9709864p

.

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