Question

1. For the following transfer functions, create the Bode Plot, Nyquist Plot and Nichols Plots: a. G(s) s b. G(s) c. G(s)-(5-可 d. G) +2s+100) 10 10 e. G(s) G56+1) 5 +2s +100) 10(s+3) f Gs10(+3) s(s+2)(s +s+2

You must manually create these plots without the use of Matlab!

Answer 1

Bode plot G (s) = s Put s jw G (jw) = jw corner frequency = 1 rad/sec = w_c1 WIO .1 gain = 20 log/(jw) A = 20 log (0.1) = -20 db Vertical-bar pi = + 90 degree At w = 1 A = 20 log (1) = 0 db At w = 10 A = 20 log (10) = 20 db g (s) = 10/s G (jw) = 20 log (10/5) rightarrow 20 log (10/w) w = 1' A = 20 log (10) = 20 db w = 10 A = 20 log (10/10) = 0db w = 100 A = 20 log (10/100) = -20 db pi = -90 degree G (s) = 10/(5s + 1) G (jw) = 10/(5 (jw) + 1) = 10/1 + j (5w) at w = 0.01 gain A = 20 log 10 = 20 dB at w = 0.2 A = 20 log Vertical-bar 10 = 20 dB phase angle p[I = 0 tan^-1 (5w) At w = 0.1, pi = -tan^-1 (0.05) = -2.862 degree At w = 0.2 pi = -tan^-1 (1) = -45 degree