4.Consider the feedback system given below e(t) Ka RO E Σ K OY s+a K1 You are to design the controller so that the closed-loop poles lie within the shaded regions given below Im(s) 4 02 2 -4 -2 Re(s) --2 Im(s) 4 s=-3+j2 02 F 2 -4 -2 Re(s) s=-3-j2 (a) What values of wn and 3 correspond to the shaded regions in figure? (A simple estimate from the figure is sufficient) (b) Let Ka = a = 2. Find values for K and KI so that the poles of the closed-loop system lie within the shaded regions.

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May I ask for you explaining all the steps in details and telling why you used that formula and calculations, please. Thanks a lot.

 
4.Consider the feedback system given below
e(t)
Ro E
Ka
s+a
K
OY
K1
S
You are to design the controller so that the closed-loop poles lie within the shaded regions given
below
Im(s)
4
82
2
-4
-2
Re(s)
-2
Im(s)
4
s=-3+j2
02 F 2
-4
-2
Re(s)
s=-3-j2
(a) What values of wn and 7 correspond to the shaded regions in figure? (A simple estimate from the
figure is sufficient)
(b) Let Ka = a = 2. Find values for K and KI so that the poles of the closed-loop system lie within the
shaded regions.
Transcribed Image Text:4.Consider the feedback system given below e(t) Ro E Ka s+a K OY K1 S You are to design the controller so that the closed-loop poles lie within the shaded regions given below Im(s) 4 82 2 -4 -2 Re(s) -2 Im(s) 4 s=-3+j2 02 F 2 -4 -2 Re(s) s=-3-j2 (a) What values of wn and 7 correspond to the shaded regions in figure? (A simple estimate from the figure is sufficient) (b) Let Ka = a = 2. Find values for K and KI so that the poles of the closed-loop system lie within the shaded regions.
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