Design
Problems
Problem
Perf3SensitivityP03
Name_________________________
Let's assume that you have a system with the usual feedback configuration
as shown below.
The transfer function
of the controlled system, G(s), is given by:
G(s) = 7/(s + a)
-
The nominal value of a
is 3.0
-
Determine the closed loop
DC gain when the proportional controller gain, Kp, is
10.
-
Determine the sensitivity
of the closed loop DC gain to changes in the pole, a.
-
Using the sensitivity,
estimate the change in the closed loop DC gain when the pole changes by
10% - increasing to a = 3.3.