Report Requirements:1. Write two-files to do the following for the system shown in the figure:K(2 - 4s + 20)(s + 2)(s + 4)R(s)C(s)a. Sketch the root locus, then from the root locus, find FOUR values ofgains as follow:i. K that makes system response Overdamped.ii. K that makes system response Critical damped.iii. K that makes system response under damped (-0.707).iv. K that makes system marginally stable.b. By using values of gains found in (i, ii, iii), plot the step responses of thesystems together.c. Complete the following table:% OSTpTrTswnaOverdampedCritical-dampedUnder dampedUn damped2- Find value of k required for the following system to meet the followingrequirements:Tr<0.2 second, Ts <3 seconds.R(s) +K(s? - 4s + 20)C(s)(s + 2)(s + 4)4

Since it has several sub parts we will answer the Second part here.

Answered: 2. Find value of k required for the…

2. Find value of k required for the following system to meet the following requirements: Tr<0.2 second, Ts < 3 seconds. K(s- 4s + 20) (s+2)(s+4) R(s)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

Report Requirements:
1. Write two
-files to do the following for the system shown in the figure:
K(2 - 4s + 20)
(s + 2)(s + 4)
R(s)
C(s)
a. Sketch the root locus, then from the root locus, find FOUR values of
gains as follow:
i. K that makes system response Overdamped.
ii. K that makes system response Critical damped.
iii. K that makes system response under damped (-0.707).
iv. K that makes system marginally stable.
b. By using values of gains found in (i, ii, iii), plot the step responses of the
systems together.
c. Complete the following table:
% OS
Tp
Tr
Ts
wn
a
Overdamped
Critical-damped
Under damped
Un damped
2- Find value of k required for the following system to meet the following
requirements:
Tr<0.2 second, Ts <3 seconds.
R(s) +
K(s? - 4s + 20)
C(s)
(s + 2)(s + 4)
4

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