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Problem 4.04PP
A unity feedback control system has the open-loop transfer function
(a) Compute the sensitivity of the closed-loop transfer function to changes in the parameter A.
(b) Compute the sensitivity of the closed-loop transfer function to changes in the parameter a.
(c) If the unity gain in the feedback changes to a value of ^ 1, compute the sensitivity of the 
closed-loop transfer function with respect to f3.
Step-by-step solution
step 1 of 5
A uni^ feedback system has the open-bop transfer functbn
(a)
Find the cbsed loop transfer hmction r(s) v^dch is given by 
r ( s ) =
^ ' 1 + G (s)
s (s + a) 
1 +
a(s + a)
r ( a ) = - 5 — ---------
 ̂ ̂ + as + A
Step 2 of 5
We know that