Question

Gp(s) = 400/ s(s+40). If Gc(s) = K (s+a)/ (s+b), using the root locus-based design, if a = 50, what values of K and b will ensure the closed-loop poles will lie at s = -38.1 ± j30? Plot the system response for a unit step input and determine the peak overshoot value.

Name: gps 400 ss40 if gcs k sa sb using the root locus based design if a 50 what values of k and b will ensure the closed loop poles will lie at s 381 j30 plot the system response for a unit step 19496
Uploaded: 2022-03-05T20:34:00-08:00
Duration: 5 min 27 s
Channel: Mahendra Kumar
Description: gps 400 ss40 if gcs k sa sb using the root locus based design if a 50 what values of k and b will ensure the closed loop poles will lie at s 381 j30 plot the system response for a unit step 19496

          Gp(s) = 400/
s(s+40). If Gc(s) = K (s+a)/
(s+b), using the root locus-based 
design, if a = 50, what values of K and b will ensure the closed-loop poles will lie at s = -38.1 ± j30?
Plot the system response for a unit 
step input and determine the peak overshoot value.

Added by Sofia L.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Mahendra Kumar

03/05/2022

Step 1

Step 1: The closed-loop transfer function is given by G(s) = Gp(s) * Gc(s) / (1 + Gp(s) * Gc(s)). Show more…

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Gp(s) = 400/ s(s+40). If Gc(s) = K (s+a)/ (s+b), using the root locus-based design, if a = 50, what values of K and b will ensure the closed-loop poles will lie at s = -38.1 ± j30? Plot the system response for a unit step input and determine the peak overshoot value.