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Problem 3.42PP
Sketch the step response of a system with the transfer function G(s) = s/2 + 1 
^ ( J / 4 0 + l ) [ ( l / 4 ) 2 + s / 4 + l ] ‘
Justify your answer on the basis of the locations of the poles and zeros. {Do not find the inverse 
Laplace transform.) Then compare your answer with the step response computed using Matlab.
Step-by-step solution
step 1 of 2
Step 1 of 2
c?w = -
1.40r+ 1
^ ( s + 4 0 ) ( s ' + 4 e + 1 6 )
320(s+2)
(s+ 40)[s^+ 4s+ 16)
Step response Y (s) =
320 (g + 2)
s {s +40) + 4 s +16)
320(s+2)
s (s+ 40) ( s + 2 + J3.46) ( s + 2 - ̂ 3.46)
By observing the location poles, we can say that the system is limitedly stable with 
S = 0