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b- Consider a unity feed- back control system has (S+1 +)(S+2) (S+1-j) 3 4S2 6S +...
Question ④ (20 marks) Consider a control system shown in Fig. I has an open loop TF-G(s) H (s)--( A-Prove that the gain margin-infinite db at infinite rad/sec. and the phase margin 62.1 degrees at...
Question ④ (20 marks) Consider a control system shown in Fig. I has an open loop TF-G(s) H (s)--( A-Prove that the gain margin-infinite db at infinite rad/sec. and the phase margin 62.1 degrees at 2.65 rad/sec.? B-Sketch the polar plot? 15 S(S+5) C- Sketch the Bode plot and show gain margin and phase margin? D-Sketch the Nichols plot? E-Write short MATLAB program to solve a, b, C and D? Best Wishes for all, Examiners
Question ④ (20 marks) Consider...
Question .(20 marks) Consider a control system shown in Fig.2 has an open loop TE-G(S)H(s)- 49...
Question .(20 marks) Consider a control system shown in Fig.2 has an open loop TE-G(S)H(s)- 49 S(S+7) A-Prove that the gain margin-infinite db at infinite rad/sec. and the phase margin 51.8 degrees at 5.5 rad/sec.? B-Sketch the polar plot? C- Sketch the Bode plot and show gain margin and phase margin D- Sketch the Nichols plot? E-Write short MATLAB program to solve a, b, C and D? Best Wishes for all Examiners
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
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...
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...
3. Consider a unity feedback system with G(s)=- s(s+1)(s+2) a) Sketch the bode plot and find...
3. Consider a unity feedback system with G(s)=- s(s+1)(s+2) a) Sketch the bode plot and find the phase margin, gain crossover frequency, gain margin, and phase crossover frequency. b) Suppose G(s) is replaced with — - Kets s(s+1)(s+2) i. For the phase margin you have computed in (a), find the minimum value for t that makes the system marginally stable. Suppose t is 1 second. What is the range of K for stability? (You can use MATLAB for this part.)...
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...
consider a negative unity feedback system whose feedforward transfer function is: (s) - 1/((s+0.11(s+1)(s+10) Brawa Bode...
consider a negative unity feedback system whose feedforward transfer function is: (s) - 1/((s+0.11(s+1)(s+10) Brawa Bode plot of the open loop transfer function that includes an asymptotic and approximate estimate for both magnitude and phase. Answer he following questions Asymptotic phase lag at 1 rad/sec is _ degrees 0 -45 -90 0-135 -180 225 270 325 -360 Asymptotic phase lag at 10 rad/sec is _ degrees 0 -45 -90 0 -135 -180 -225 -270 360 none of these Asymptotic phase...
3. (28 pts.) The unity feedback system with K(5+3) G(s) = (s + 1)(s + 4)(s...
3. (28 pts.) The unity feedback system with K(5+3) G(s) = (s + 1)(s + 4)(s + 10) is operating with 12% overshoot ({=0.56). (a) the root locus plot is below, find the settling time (b) find ko (c) using frequency response techniques, design a lead compensator that will yield a twofold improvement in K, and a twofold reduction in settling time while keeping the overshoot at 12%; the Bode plot is below using the margin command and using the...
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?
Question ④ (20 marks) Consider a control system shown in Fig. I has an open loop TF-G(s) H (s)--( A-Prove that the gain margin-infinite db at infinite rad/sec. and the phase margin 62.1 degrees at 2.65 rad/sec.? B-Sketch the polar plot? 15 S(S+5) C- Sketch the Bode plot and show gain margin and phase margin? D-Sketch the Nichols plot? E-Write short MATLAB program to solve a, b, C and D? Best Wishes for all, Examiners
Question ④ (20 marks) Consider...
Question .(20 marks) Consider a control system shown in Fig.2 has an open loop TE-G(S)H(s)- 49 S(S+7) A-Prove that the gain margin-infinite db at infinite rad/sec. and the phase margin 51.8 degrees at 5.5 rad/sec.? B-Sketch the polar plot? C- Sketch the Bode plot and show gain margin and phase margin D- Sketch the Nichols plot? E-Write short MATLAB program to solve a, b, C and D? Best Wishes for all Examiners
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
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...
3. Consider a unity feedback system with G(s)=- s(s+1)(s+2) a) Sketch the bode plot and find the phase margin, gain crossover frequency, gain margin, and phase crossover frequency. b) Suppose G(s) is replaced with — - Kets s(s+1)(s+2) i. For the phase margin you have computed in (a), find the minimum value for t that makes the system marginally stable. Suppose t is 1 second. What is the range of K for stability? (You can use MATLAB for this part.)...
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...
consider a negative unity feedback system whose feedforward transfer function is: (s) - 1/((s+0.11(s+1)(s+10) Brawa Bode plot of the open loop transfer function that includes an asymptotic and approximate estimate for both magnitude and phase. Answer he following questions Asymptotic phase lag at 1 rad/sec is _ degrees 0 -45 -90 0-135 -180 225 270 325 -360 Asymptotic phase lag at 10 rad/sec is _ degrees 0 -45 -90 0 -135 -180 -225 -270 360 none of these Asymptotic phase...
3. (28 pts.) The unity feedback system with K(5+3) G(s) = (s + 1)(s + 4)(s + 10) is operating with 12% overshoot ({=0.56). (a) the root locus plot is below, find the settling time (b) find ko (c) using frequency response techniques, design a lead compensator that will yield a twofold improvement in K, and a twofold reduction in settling time while keeping the overshoot at 12%; the Bode plot is below using the margin command and using the...
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?
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