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Problem 3: Use method 2 (no Bode plots) to sketch the Nyquist plot for: (s –...
Problem 4: Given L(s) = K(8 + 1) s(s+3) (a) Use method 2 to sketch the...
Problem 4: Given L(s) = K(8 + 1) s(s+3) (a) Use method 2 to sketch the Nyquist plot of L(s). Do not include the pole at s = 0 in the RHP contour (i.e. assume P = O unstable open-loop poles). Note: The Bode phase function is not monotonic, but you may still use method 2. (b) Using the Nyquist stability criterion, determine the range of positive K values that will result in closed-loop stability. (c) Repeat (a) and (b),...
please solve the (a) (b) (d) 6.19 Sketch the Nyquist plot based on the Bode plots for each of the following systems, an...
please solve the (a) (b) (d)
6.19 Sketch the Nyquist plot based on the Bode plots for each of the following systems, and then compare your result with that obtained by using the Matlab command nyquist: Don't be concerned with the details of exactly where the curve goes, but do make sure it crosses the real axis at the right spot, has the correct number of -I encirclements, and goes off to infinity in the correct direction. GH (s) =...
please use matlab etch the Nyquist plot based on the Bode plots for each of the following systems, and then compa...
please use matlab
etch the Nyquist plot based on the Bode plots for each of the following systems, and then compare your result with that obtained by using the Matlab command nyquist: Don't be concerned with the details of exactly where the curve goes, but do make sure it crosses the real axis at the right spot, has the correct number of -1 encirclements, and goes off to infinity in the correct direction. 6.19 Sk K(0.5 (a) GH(s) K (4s+1)...
Draw the Nyquist plot using the bode plot below. G(s)=1/(s+1)^2 1. Draw the Nyquist plot using...
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)
For the given system (s+25) P(s) s(s+1)(s+3000) 1. Sketch, by hand, the Bode asymptote plots for phase and magnitude. S...
For the given system (s+25) P(s) s(s+1)(s+3000) 1. Sketch, by hand, the Bode asymptote plots for phase and magnitude. Show all your work 2. Sketch by hand the Nyquist plot of the system 3. What is the system's upward, downward gain margins?
For the given system (s+25) P(s) s(s+1)(s+3000) 1. Sketch, by hand, the Bode asymptote plots for phase and magnitude. Show all your work 2. Sketch by hand the Nyquist plot of the system 3. What is the system's...
4. Consider the Bode Plots for G(s) (a) In a frequency region where the Bode phase curve is decre...
4. Consider the Bode Plots for G(s) (a) In a frequency region where the Bode phase curve is decreasing, which direction is the corresponding Nyquist curve moving ? Clockwise or counterclockwise? (b) Assume that the Bode plots for G(jw)| and the phase ф(w) are correct. Give the corresponding complex value on the Nyquist plot in terms of G(jw) and ф(W) (c) On the Bode plots for GGW)| and ф(W). how much must ф(w) change for there to be three encirclements...
Problem 6 (5 marks) Draw the Bode plots for the system G(s) = 10 Bode Plot...
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)
Problem 2: The bode plot for the following transfer function is shown below: (8 +1) P(S)...
Problem 2: The bode plot for the following transfer function is shown below: (8 +1) P(S) = 12 (s + 2)(8 + 6) Sketch the Nyquist plot of P(s) using method 1. Make sure to include the direction of increasing w and also label the points w ~0+,0, +00, -0.
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), id...
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), iden- tifying the zero gain, the slopes (in Decibels) and the high-frequency cutt-off rate. Then verify with Matlab (6) wn = 1, 〈 0.0.1, and 0.707. (8) Assuming the system of Problem 6 above, and an input of r(t) = 30sin(1000 t), use your bode plot to obtain the steady-state response
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), iden- tifying the...
2. [4pt] Sketch the Bode plots for the system below G(s) = S+ 2 s(s +...
2. [4pt] Sketch the Bode plots for the system below G(s) = S+ 2 s(s + 1)(s + 3) a. [2pt] Magnitude Response b. [2pt] Phase Response
Problem 4: Given L(s) = K(8 + 1) s(s+3) (a) Use method 2 to sketch the Nyquist plot of L(s). Do not include the pole at s = 0 in the RHP contour (i.e. assume P = O unstable open-loop poles). Note: The Bode phase function is not monotonic, but you may still use method 2. (b) Using the Nyquist stability criterion, determine the range of positive K values that will result in closed-loop stability. (c) Repeat (a) and (b),...
please solve the (a) (b) (d)
6.19 Sketch the Nyquist plot based on the Bode plots for each of the following systems, and then compare your result with that obtained by using the Matlab command nyquist: Don't be concerned with the details of exactly where the curve goes, but do make sure it crosses the real axis at the right spot, has the correct number of -I encirclements, and goes off to infinity in the correct direction. GH (s) =...
please use matlab
etch the Nyquist plot based on the Bode plots for each of the following systems, and then compare your result with that obtained by using the Matlab command nyquist: Don't be concerned with the details of exactly where the curve goes, but do make sure it crosses the real axis at the right spot, has the correct number of -1 encirclements, and goes off to infinity in the correct direction. 6.19 Sk K(0.5 (a) GH(s) K (4s+1)...
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)
For the given system (s+25) P(s) s(s+1)(s+3000) 1. Sketch, by hand, the Bode asymptote plots for phase and magnitude. Show all your work 2. Sketch by hand the Nyquist plot of the system 3. What is the system's upward, downward gain margins?
For the given system (s+25) P(s) s(s+1)(s+3000) 1. Sketch, by hand, the Bode asymptote plots for phase and magnitude. Show all your work 2. Sketch by hand the Nyquist plot of the system 3. What is the system's...
4. Consider the Bode Plots for G(s) (a) In a frequency region where the Bode phase curve is decreasing, which direction is the corresponding Nyquist curve moving ? Clockwise or counterclockwise? (b) Assume that the Bode plots for G(jw)| and the phase ф(w) are correct. Give the corresponding complex value on the Nyquist plot in terms of G(jw) and ф(W) (c) On the Bode plots for GGW)| and ф(W). how much must ф(w) change for there to be three encirclements...
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)
Problem 2: The bode plot for the following transfer function is shown below: (8 +1) P(S) = 12 (s + 2)(8 + 6) Sketch the Nyquist plot of P(s) using method 1. Make sure to include the direction of increasing w and also label the points w ~0+,0, +00, -0.
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), iden- tifying the zero gain, the slopes (in Decibels) and the high-frequency cutt-off rate. Then verify with Matlab (6) wn = 1, 〈 0.0.1, and 0.707. (8) Assuming the system of Problem 6 above, and an input of r(t) = 30sin(1000 t), use your bode plot to obtain the steady-state response
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), iden- tifying the...
2. [4pt] Sketch the Bode plots for the system below G(s) = S+ 2 s(s + 1)(s + 3) a. [2pt] Magnitude Response b. [2pt] Phase Response
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