Problem 6 (5 marks) Draw the Bode plots for the system G(s) = 10 Bode Plot .... 1- - .... ... . 20 log M - - - 1111-... - - TH .. 101 100 102 --- - Phase (degrees) .... 101 10 10° Frequency (rad/s)
Draw the Nyquist plot using the bode plot below. G(s)=1/(s+1)^2 1. Draw the Nyquist plot using the bode plot below. G(s)-1/(s+1)*2 Bode Diagram 0 -20 9 .40 -60 -80 -100 .45 -90 -135 180 10 10 10 10 Frequency (rad/sec)
The Bode magnitude plot of H(o) is shown Find H(w) 0.1 10 ? (rad/s) +20 dB/decade -40 dB/decade
Problem 1: Hand sketch the Bode plot for the transfer function G(s) = 5–10 (1) If Y(s) = G($)U(s), where U (s) = L (u(t)), what is lim+ y(t)? Problem 2: Hand sketch the Bode plot for the transfer function GS) = 52+ 10s + 900
plot the bode plot for the following I. (5 pts.) Plot the Bode plot for the following function on the graph provided. Note: you need to label the H(w axes. H)-10 +101s +100 s +10 o2π 3T/4 t/2 π/4 10K 1K 100 10 0.1 0.01 I. (5 pts.) Plot the Bode plot for the following function on the graph provided. Note: you need to label the H(w axes. H)-10 +101s +100 s +10 o2π 3T/4 t/2 π/4 10K 1K 100...
G(s)=Kc*(1+tD*s+1/(tI*s)), Kc=10, tD=100, tI=1, plot the amplitude ratio and phase bode plot.
Bode Plots Sketch the Bode plot magnitude and phase for each of the three open-loop transfer functions listed below. Verify your results using the bode m function in MATLAB.(a) \(G(s)=\frac{100}{s(0.1 s+1)(0.01 s+1)}\)(b) \(G(s)=\frac{1}{(s+1)^{2}\left(s^{2}+s+9\right)}\)(c) \(G(s)=\frac{16000 s}{(s+1)(s+100)\left(s^{2}+5 s+1600\right)}\)
g) The Bode magnitude plot of a system is given below (note gains are in dB scale). What are the five (approximate) amplitudes of the sinusoidal outputs if the inputs are u(t) = sin(w t) (i.e. input amplitude is 1) where w are respectively: i) 0.1 rad/s; ii) 2.1 rad/s; iii) 3 rad/s; iv) 4.3 rad/s; v) 10 rad/s. Magnitude gain - dB 10 100 Frequency - [rad/s]
5. Draw the magnitude characteristic of the Bode plot of the following transfer function: H(s)10(10s +11 (S + 200)2 Identify the poles and zeros Sketch the magnitude plot. The y-axis should be in dB. The x-axis should logarithmic, but labeled in rad/sec e) f) g) Use MATLAB to draw the complete Bode plot and check your answer. h) If the input current is VIN(t)-10 cos(t+35"),what is the output voltage. Use your MATLAB Bode plot to answer this.
Problem 7: Sketch (using straight-line approximations) the Bode Plot of the following system. G(S)5010 s +2 s + Problem 8: Sketch (using straight-line approximations) the Bode Plot of the following system. G(S) 100(s+ 1)2