Question

0.1s(s 50)(s 200) G(s) (s+2)(s 2s+100) Consider the transfer function above a) Draw the Bode diagrams of the system, both mag

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Answer #1

Selutiou! Given ho), O.1s CS+50)C 8 4 20o) GCs) CS42) Cs2s 100) a) soluTiou Bode diagrauis have to Now draw Re giueu Syptes B

د”صكالات ٠ا (ص O 200 C-25u (l005-o. (200-4 (104t5-133)2 Tart Taut 200 -25 us Now Subl:kle iabebe t epleuios. IG Cjo) = (25 x(

06259999 .98 \GCj 39984+l08 -13 9999 9195 (Gcj) H0109 2 /39 99.99 Gcj) 200 23 200.23 o499 - log (o499) 20o G - 6.03799 . dB 1For Cloux 1-(3 C0o NC-25000-o) (200-4)Clo9- I) -(199.9J2 -625+ S496103) + V-625+ 999,800.0 V38 416 I0609 Gcjo 999.58 999195.0for Clooo 10-01 (o))2 160j 2510)) (200- (lo)2)2+(to 4Y10-lo) (10000-0.x l00 |(200-x100) (lo40- loo0) 1-2500) 10,000 -100) Y(2Noo /Gj)entloo xo-o.lx10 O4YIO10 Tont 25 y 10 200- xIo lo,000 OI XIO0O Taut 040- /ODO 2OO HOO -250 o 40 l0/o00 - loo Tau Tant

(b) solution :-

matlab code :

num = [0.1 25 1000 0]
den = [1 4 104 200]
h = tf(num,den)
bode(h)

output :-

octave:6> num = [0.1 25 1000 01 den 1 4 104 2001 h = tf (num, den) bode (h) num 1.0000e+03 1.0000e-01 2.5000e+01 0.0000e+00 d

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