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Problem 1. For the following system, perform the following: Refer to Lecture 7/9/19 and 7/11/19 10(s5)(s10)...
1) (10 pts) Consider the unity feedback system shown in the figure: For each of the...
1) (10 pts) Consider the unity feedback system shown in the figure: For each of the following transfer function G(s), plot its Bode plots using Matlab command "bode", and then work on the plots to find out the crossover frequency phase margin . the phase crossover frequency and the gain margin GM: (a) G(s)= , the S+4 s(s + l)(s + 2)(s +10) (b) Gs)100
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 4. For the following system determine the following: Refer to Lecture 7/16/19 | Geel K...
Problem 4. For the following system determine the following: Refer to Lecture 7/16/19 | Geel K (s) - (5-6)(8 +2) H(s) 1 a) How many poles does G(S) = G(S)Gp(s)H(s) have? b) If K = 1 will the closed loop system be stable? Hint: Can do this with matlab with sys = tf([1],conv([1-6], [1 2])); closed_loop_sys = sys/(1+ sys); then use the function roots([1 ... ) on the coefficients of the denominator of closed_loop_sys c) Repeat part (b) for K=...
Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s).
1 Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s). Determine the phase margin, gain-crossover frequency, gain margin and phase-crossover frequency, (Sketch the bode diagram by hand) 2 Consider the system shown as below. Use MATLAB to draw a bode diagram of the open-loop transfer function G(s). Show the gain-crossover frequency and phase-crossover frequency in the Bode diagram and determine the phase margin and gain margin. 3. Consider the system shown as below. Design a...
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?
For the unity feedback system in the below figure, 1. EGO) R(s)) C(s) G(s)K (s 1) (s + 4) a) Sket...
For the unity feedback system in the below figure, 1. EGO) R(s)) C(s) G(s)K (s 1) (s + 4) a) Sketch the bode plot with Matlab command bode0 b) Plot the nyquist diagram using Matlab command nyquist(0, find the system stability c) Find phase margin, gain margin, and crossover frequencies using Matlab command margin(0 and find the system stability
For the unity feedback system in the below figure, 1. EGO) R(s)) C(s) G(s)K (s 1) (s + 4) a) Sketch...
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...
Nise Ch. 10, Problem 10.(**Ignore book question**) Here is is the questions for each system, (a) ...
Nise Ch. 10, Problem 10.(**Ignore book question**) Here is is the questions for each system, (a) Use MATLAB to draw/plot the root locus (b) Obtain the limits for stable gain. (c) Get bode plot (d) Get gain margin and limits for stable K/gain. (It should be the same as the values obtained from the locus) -Suggestion ) Use the commands like 'rlocus, riocfind' and 'bode, in Matlab. C(s) R(s)+ | (s + 2) -ㄒㄧ System I R(s) + C(s) (s...
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 control system has the open loop TF as
A unity feedback control system has the open loop TF as: \(G(s)=\frac{K(s+a+1)(s+b)}{s(s+a)(s+a+2)}\)a) Find analytical expressions for the magnitude and phase response for \(\mathrm{G}(\mathrm{s}) .\left[K=K_{1}\right]\)b) Make a plot of the log-magnitude and the phase, using log-frequency in rad/s as the ordinate. \(\left[K=K_{1}\right]\)c) Sketch the Bode asymptotic magnitude and asymptotic phase plots. \(\left[K=K_{1}\right]\)d) Compare the results from \((a),(b)\), and \((c) .\left[K=K_{1}\right]\)e) Using the Nyquist criterion, find out if system is stable. Show your steps. \(\left[K=K_{1}\right]\)f) Using the Nyquist criterion, find the range...
1) (10 pts) Consider the unity feedback system shown in the figure: For each of the following transfer function G(s), plot its Bode plots using Matlab command "bode", and then work on the plots to find out the crossover frequency phase margin . the phase crossover frequency and the gain margin GM: (a) G(s)= , the S+4 s(s + l)(s + 2)(s +10) (b) Gs)100
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 4. For the following system determine the following: Refer to Lecture 7/16/19 | Geel K (s) - (5-6)(8 +2) H(s) 1 a) How many poles does G(S) = G(S)Gp(s)H(s) have? b) If K = 1 will the closed loop system be stable? Hint: Can do this with matlab with sys = tf([1],conv([1-6], [1 2])); closed_loop_sys = sys/(1+ sys); then use the function roots([1 ... ) on the coefficients of the denominator of closed_loop_sys c) Repeat part (b) for K=...
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?
For the unity feedback system in the below figure, 1. EGO) R(s)) C(s) G(s)K (s 1) (s + 4) a) Sketch the bode plot with Matlab command bode0 b) Plot the nyquist diagram using Matlab command nyquist(0, find the system stability c) Find phase margin, gain margin, and crossover frequencies using Matlab command margin(0 and find the system stability
For the unity feedback system in the below figure, 1. EGO) R(s)) C(s) G(s)K (s 1) (s + 4) a) Sketch...
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...
Nise Ch. 10, Problem 10.(**Ignore book question**) Here is is the questions for each system, (a) Use MATLAB to draw/plot the root locus (b) Obtain the limits for stable gain. (c) Get bode plot (d) Get gain margin and limits for stable K/gain. (It should be the same as the values obtained from the locus) -Suggestion ) Use the commands like 'rlocus, riocfind' and 'bode, in Matlab. C(s) R(s)+ | (s + 2) -ㄒㄧ System I R(s) + C(s) (s...
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...
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