4.Consider the feedback system given below e(t) Ka + Ro E Σ K OY s+ a K1 S You are to design the controller so that the closed-loop poles lie within the shaded regions given below Im(s) 4 -4 -2 Re(s) Im(s) 4 s=-3+j2 02 -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. 2.
4.Consider the feedback system given below e(t) Ka + Ro E Σ K OY s+ a K1 S You are to design the controller so that the closed-loop poles lie within the shaded regions given below Im(s) 4 -4 -2 Re(s) Im(s) 4 s=-3+j2 02 -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. 2.
Introductory Circuit Analysis (13th Edition)
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Can you answer this question by showing all the steps and explain the all the details that necessary for question. Especially can you write down why you used that formula or calculation etc. Thanks in advance.
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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