Design
Problems
Problem
Perf3SensitivityP04
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) = 10/(st
+ 1)
-
The nominal value of the
time constant is 0.5 seconds.
-
Determine the sensitivity
of the closed loop time constant to changes in the open loop time constant.
-
You will have to derive
a formula for this sensitivity. Show your derived formula.