Homework Answers
matlab code:
clc;
clear all;
close all;
s=tf('s');
g=20/(2e-05*s^3+0.02*s^2+100300*s+1e07);
margin(g);grid
bandwidth is approximately 100 rad/sec (w at -90 degrees phase)
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7. Problem 9.43 - Use the following approaches (Part a & Part b): Part (a)- Computations by Hand:...
Figure 1 Problem 3 For the system shown in the above figure, where G(s) a) Draw...
Figure 1 Problem 3 For the system shown in the above figure, where G(s) a) Draw a Bode diagram of the open-loop transfer function G(s) when K 10. b) On your plot, indicate the crossover frequencies, PM, and GM. Is the closed-loop system stable with K-10? c) Determine the value of K such that the phase margin is 30°. What are the gain margin and the crossover frequencies with this K? Note: You can finish problems 2-3 with the help...
You may prepare your answer in softcopy, print out and submit or use hardcopy approach. Put...
You may prepare your answer in softcopy, print out and submit or use hardcopy approach. Put all your MATLAB codes and Simulink Diagram under the appendix. The system below is to be compensated to achieve a phase margin of 50 degrees. s +3 x(t) 5+2s+ 2s E-KH. yệt) Design gain and phase-lead compensator to achieve the desired PM of 45 degrees. +PART A: Uncompensated system analysis % created by Fakhera 2020 Determine the uncompensated PM and GM s=tf('s'); g= (5+3)/...
a=8 Q.17,3,3,3, 2, 1, 1] Consider the unity feedback system: 10 (5) (Where "a" is the...
a=8
Q.17,3,3,3, 2, 1, 1] Consider the unity feedback system: 10 (5) (Where "a" is the right most integer of your UQUID. If Ss(s+a) | this is zero, use the next non-zero integer. For example, if your UQUID is 437056780, then "a" should be 8). Do the following four parts (a, b, c and d) by calculation only i.e. without making Bode plot. a. Find the phase cross-over frequency, gain margin, gain cross-over frequency (this will not be easy!) and...
A unity feedback system has the following open-loop gain function 10 s(s+2) Use MATLAB to plot...
A unity feedback system has the following open-loop gain function 10 s(s+2) Use MATLAB to plot the Bode plot of this system Find the gain and phase margin. Identify these margins on the Bode plot. Is the G(s) a. b. system stable?
Let G,()+3s+5) , K-1 and Ge 1 I Determine the loop transfer function L(s)-KG.G. Use 'margin' command in matlab to generate the Bode Plot for L(s). (a) What are its gain and phase margins (the...
Let G,()+3s+5) , K-1 and Ge 1 I Determine the loop transfer function L(s)-KG.G. Use 'margin' command in matlab to generate the Bode Plot for L(s). (a) What are its gain and phase margins (these should be available in the plots). (b) Convert the gain margin in dB to absolute value. (c) For what value of the gain K would the closed loop system become marginally stable? (d) Show that, for this value of K, the closed loop system does...
Problem 1. For the following system, perform the following: Refer to Lecture 7/9/19 and 7/11/19 10(s5)(s10)...
Problem 1. For the following system, perform the following: Refer to Lecture 7/9/19 and 7/11/19 10(s5)(s10) G(s) = 2(s+20)(s + 100) K(s/z1+1)(s/z2+1) s(s/p2+1)(s/py+1) a) Manipulate G(s) to be in a more Bode Plot compatible form of: G(s) b) Draw the Magnitude Plot using the methods given in class c) Draw the Phase Plot using the methods given in class d) Draw the gain and phase margin on the plot e) Generate the Bode and Phase plots in MATLAB f)What is...
Y(s) C(s) G(s) R(S) Figure 1: Closed-loop system Q2 Consider the setup in Figure 1 with S s1 (i) ...
Y(s) C(s) G(s) R(S) Figure 1: Closed-loop system Q2 Consider the setup in Figure 1 with S s1 (i) Design a K,τ, α in the lead compensator 1TOS so that the closed-loop system shown in Figure 1 has a steady state error of.0 for a unit ramp reference input at R and a phase margin of about 45 degrees K, α, τ without Bode plots. When you add phase with the lead compensator add an additional 10 degrees of phase....
Problem 4 (25 points): Consider the following system: s0.1 8+0.5 10 s(s+1 Draw the gain and...
Problem 4 (25 points): Consider the following system: s0.1 8+0.5 10 s(s+1 Draw the gain and phase Bode plots of the open-loop transfer function (see other side for plot). A. B. Determine the value of the gain K such that the phase margin is 50° C. For the gain K from part (B), what is the gain margin of the system?
Problem-1 (60 pts) Manually sketch (i.e. don't use Matlab) the frequency responses (gain and phase Bode...
Problem-1 (60 pts) Manually sketch (i.e. don't use Matlab) the frequency responses (gain and phase Bode plots in logarithmic domain) of the following transfer functions (Hint: Clearly identify the poles and zeros, find the contributions from these poles and zeros over the plots, obtain independent gain and phase contributions and combine them in single phase and gain plots). For the plotting, one can use an empty log-log graph, make the hand drawing, scan and add the hand-plotted graph to the...
Can I get Hwlp on a and b on MATLAB as soon as possible pleeaase K...
Can I get Hwlp on a and b on MATLAB as soon as possible
pleeaase
K G(S) = S2 + 3s +10 a) Obtain the step response of the system with a PD (proportional and differential) cascade controller with gain 80 and a zero at -5. b) Obtain the step response of the system with a PD (proportion differential) feedback controller with a zero at -5 and unity gain and a forward gain of 80. c) Using Gc(s)G(s), create Nyquist...
Figure 1 Problem 3 For the system shown in the above figure, where G(s) a) Draw a Bode diagram of the open-loop transfer function G(s) when K 10. b) On your plot, indicate the crossover frequencies, PM, and GM. Is the closed-loop system stable with K-10? c) Determine the value of K such that the phase margin is 30°. What are the gain margin and the crossover frequencies with this K? Note: You can finish problems 2-3 with the help...
You may prepare your answer in softcopy, print out and submit or use hardcopy approach. Put all your MATLAB codes and Simulink Diagram under the appendix. The system below is to be compensated to achieve a phase margin of 50 degrees. s +3 x(t) 5+2s+ 2s E-KH. yệt) Design gain and phase-lead compensator to achieve the desired PM of 45 degrees. +PART A: Uncompensated system analysis % created by Fakhera 2020 Determine the uncompensated PM and GM s=tf('s'); g= (5+3)/...
a=8
Q.17,3,3,3, 2, 1, 1] Consider the unity feedback system: 10 (5) (Where "a" is the right most integer of your UQUID. If Ss(s+a) | this is zero, use the next non-zero integer. For example, if your UQUID is 437056780, then "a" should be 8). Do the following four parts (a, b, c and d) by calculation only i.e. without making Bode plot. a. Find the phase cross-over frequency, gain margin, gain cross-over frequency (this will not be easy!) and...
A unity feedback system has the following open-loop gain function 10 s(s+2) Use MATLAB to plot the Bode plot of this system Find the gain and phase margin. Identify these margins on the Bode plot. Is the G(s) a. b. system stable?
Let G,()+3s+5) , K-1 and Ge 1 I Determine the loop transfer function L(s)-KG.G. Use 'margin' command in matlab to generate the Bode Plot for L(s). (a) What are its gain and phase margins (these should be available in the plots). (b) Convert the gain margin in dB to absolute value. (c) For what value of the gain K would the closed loop system become marginally stable? (d) Show that, for this value of K, the closed loop system does...
Problem 1. For the following system, perform the following: Refer to Lecture 7/9/19 and 7/11/19 10(s5)(s10) G(s) = 2(s+20)(s + 100) K(s/z1+1)(s/z2+1) s(s/p2+1)(s/py+1) a) Manipulate G(s) to be in a more Bode Plot compatible form of: G(s) b) Draw the Magnitude Plot using the methods given in class c) Draw the Phase Plot using the methods given in class d) Draw the gain and phase margin on the plot e) Generate the Bode and Phase plots in MATLAB f)What is...
Y(s) C(s) G(s) R(S) Figure 1: Closed-loop system Q2 Consider the setup in Figure 1 with S s1 (i) Design a K,τ, α in the lead compensator 1TOS so that the closed-loop system shown in Figure 1 has a steady state error of.0 for a unit ramp reference input at R and a phase margin of about 45 degrees K, α, τ without Bode plots. When you add phase with the lead compensator add an additional 10 degrees of phase....
Problem 4 (25 points): Consider the following system: s0.1 8+0.5 10 s(s+1 Draw the gain and phase Bode plots of the open-loop transfer function (see other side for plot). A. B. Determine the value of the gain K such that the phase margin is 50° C. For the gain K from part (B), what is the gain margin of the system?
Problem-1 (60 pts) Manually sketch (i.e. don't use Matlab) the frequency responses (gain and phase Bode plots in logarithmic domain) of the following transfer functions (Hint: Clearly identify the poles and zeros, find the contributions from these poles and zeros over the plots, obtain independent gain and phase contributions and combine them in single phase and gain plots). For the plotting, one can use an empty log-log graph, make the hand drawing, scan and add the hand-plotted graph to the...
Can I get Hwlp on a and b on MATLAB as soon as possible
pleeaase
K G(S) = S2 + 3s +10 a) Obtain the step response of the system with a PD (proportional and differential) cascade controller with gain 80 and a zero at -5. b) Obtain the step response of the system with a PD (proportion differential) feedback controller with a zero at -5 and unity gain and a forward gain of 80. c) Using Gc(s)G(s), create Nyquist...
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