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Problem 4.31 PP
Consider the second-order plant with transfer function
(f+IX5f+I)’
and in a unity feedback structure.
(a) Determine the system type and error constant with respect to tracking polynomiai reference 
inputs of the system for P [Dc = kP\, PD [Dc (s) = kP + kD s], and [Z>c(s) = + ^ +
controllers. LetkP = ^Q ,k l= 0.5, and
(b) Determine the system type and error constant of the system with respect to disturbance 
inputs for each of the three regulators in part(a) with respect to rejecting polynomial 
disturbanceswffj at the input to the plant.
ueiermine me system type ana error constani or me system witn respect to aisturoance 
inputs for each of the three regulators in part(a) with respect to rejecting polynomial 
disturbanceswffj at the input to the plant.
(c) Is this system better at tracking references or rejecting disturbances? Explain your response 
briefly.
(d) Verify your results for parts(a) and(b) using Matlab by plotting unit-step and -ramp responses 
for both tracking and disturbance rejection.
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