NOTE: i solved this problem using MATLAB.
Question. 12
MATLAB code
clc;
z=[2]
p=[0,1,5,5]
k=100
g=zpk(z,p,k)
margin(g)
[Gm,Pm,Wcg,Wcp] = margin(g)
RESULTS and BODE plot
ANSWER to the Question 12.:
phase crossover frequency : the frequency at which the phase of the system is -180 degrees
in this example phase plot never crosses the -180 degrees .
so phase crossover frequency is not exists
ANSWER to the Question 13.:
transfer function is same as question 12.
Gain crossover frequency : the frequency at which the gain of the system is zero DB or unity.
so gain crossover frequency = 3.1966 rad/sec.
......
Question. 14
MATLAB code
clc;
z=[]
p=[-1,-10,-20]
k=200
g=zpk(z,p,k)
margin(g)
[Gm,Pm,Wcg,Wcp] = margin(g)
RESULTS and BODE plot
Phase margin : -180 degrees.
Question 12 100(5 +2) s(s + 1D(s +5 For the system shown below, if G(S) ,...
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