Skip to Main Content
Feedback Control in Systems Biology
book

Feedback Control in Systems Biology

by Carlo Cosentino, Declan Bates
October 2011
Intermediate to advanced content levelIntermediate to advanced
296 pages
9h 39m
English
CRC Press
Content preview from Feedback Control in Systems Biology
Negative feedback systems 125
with L
(0) = 1. Now consider a step reference input at time t = 0 with
amplitude ¯r. The steady-state error can be computed by a pplying the initial
value theorem
, which yields
e
ss
= ¯r lim
t→∞
y(t)
=
1 lim
s0
T (s)
¯r
=
1 lim
s0
C/s
n
1 + C/s
n
¯r = lim
s0
s
n
s
n
+ C
¯r .
Hence, if L(s) has no pole at the origin (i.e. L(s) contains no integrators), the
steady-state error is
1
1 + C
¯r.
If, however, n 1, then e
ss
= 0 regardless of the values of C o r ¯r an
extremely robust level of p erformance! This is the basis for the use of integral
control in many industrial feedba ck systems. By using the controller to in-
troduce a n integrator ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Mathematical Models for Society and Biology, 2nd Edition

Mathematical Models for Society and Biology, 2nd Edition

Edward Beltrami

Publisher Resources

ISBN: 9781439816912