matlab code:
clc;clear all;close all;
z=input('enter zeros of the system =')
p=input('enter the poles of the system =')
k=input('enter the value of the gain =')
sys=zpk(z,p,k)
rlocus(sys)
output:
enter zeros of the system =[-10 -20]
z =
-10 -20
enter the poles of the system =[-30 10+10*i 10-10*i]
p =
Columns 1 through 2
-30.0000 + 0.0000i 10.0000 +10.0000i
Column 3
10.0000 -10.0000i
enter the value of the gain =1
k =
1
sys =
(s+10) (s+20)
------------------------
(s+30) (s^2 - 20s + 200)
Continuous-time zero/pole/gain model.
a):rootlocus:
B): range of K for stability:
sys =
(s+10) (s+20)
------------------------
(s+30) (s^2 - 20s + 200)
Continuous-time zero/pole/gain model.
k = 23.9298 -------> it the Kmax for stable system..
c):
d):
=
=0.3075 sec
= 0.2417.
e):
closed loop critcally damped poles exit at breaking points...
Question# 1 (25 points) For a unity feedback system with open loop transfer function K(s+10)(s+20) (s+30)(s2-20s+2...
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