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ermine the phase and gain margins of the following system when: a) k10 R(3) __ K...
Q.10- For the system shown in Figure 5 with K (s + 3)(s +5) Gs)s-2)s-4) Find the range of gain, K, which will cause the system to be stable. Cs) Q.11. Draw the Root Locus of the following systems...
Q.10- For the system shown in Figure 5 with K (s + 3)(s +5) Gs)s-2)s-4) Find the range of gain, K, which will cause the system to be stable. Cs) Q.11. Draw the Root Locus of the following systems. Find the points of intersection with the real and imaginary axis. 6(s)H(s)- s(s +2) K(s+5) of- Draw the Bode diagram of the following tmamsfer finction. His)- -100 s +12s +21s +10 213- Obtain the phase and gain margins of the system...
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...
Question 3 (10 +10+10+15 45 marks) E(s) C(s) R(s) Figure 3: Unity feedback control system for Question 3 For the unity...
Question 3 (10 +10+10+15 45 marks) E(s) C(s) R(s) Figure 3: Unity feedback control system for Question 3 For the unity feedback control system shown in Figure 3, 100 G(S) (s+2)(+10) Page 3 of 7 NEE3201 Examination Paper CRICOS Provider No: 00124k a) Determine the phase margin, the gain crossover frequency, the gain margin, the phase crossover frequency of the system when Gc(s)-1, 10 marks) b) Design a proportional controller Gc(s)-K so that a phase margin of 50° is achieved....
3. Find the gain and phase margins of the negative unity feedback systems where G(o) Solution: 1....
please show every step clearly
3. Find the gain and phase margins of the negative unity feedback systems where G(o) Solution: 1. Let 10 mu t5)u, +10) Wy = 0 (ignored), wgーー8.0627 (ignored), w,-8.0627 99.0118 Let 10 there is no solution. You can chcck your solution by MATLAB command: G-t10,comv(1,6,5],1,101), (GM,PM,Wg, We]-margin(G)
3. Find the gain and phase margins of the negative unity feedback systems where G(o) Solution: 1. Let 10 mu t5)u, +10) Wy = 0 (ignored), wgーー8.0627 (ignored),...
Question 3 Consider an adaptive control system plant, k is the adaptive control gain, t is...
Question 3 Consider an adaptive control system plant, k is the adaptive control gain, t is time and s is the Laplace variable time-varying parameter of the shown in Figure Q3, where a is a as У() r(t) G(s) a e(t) k s(s+1) Figure Q3 The gain k is adaptively adjusted so that the closed loop system has the transfer function of a desired model 1 M(s) +1 i.e. the plant output y(t) follows the model output ym(t) = M(s)r(t)...
Question #5 [20 points) R(S) - --- G(s) G(s) - G(S) = Ks (s + 1)(s...
Question #5 [20 points) R(S) - --- G(s) G(s) - G(S) = Ks (s + 1)(s + 2) a) Find the root locus for the above system. ) For what values of K, the system is stable Answer: B. Determine the gain and phase margins of the system. GM = _ PM = C. What is wgc(gain cross over frequency) ge D. What is ape(Phase cross over frequency) Wpc E. Is the system stable, why? F. Sketch the step response...
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?
The Bode diagram of the forward-nath transfer function of a unity-feedback control system is obtained experimentally when the forward gain Kis set at its nominal valuc. (a) Find the gain and phase ma...
The Bode diagram of the forward-nath transfer function of a unity-feedback control system is obtained experimentally when the forward gain Kis set at its nominal valuc. (a) Find the gain and phase margins of the system from the diagram as best you can read them. Find the gain- and phase-crossover frequencies. (b) Repeat part (a) if the gain is doubled from its nominal value. (c) Repeat part (a) if the gain is 10 times its nominal value. (d) Find out...
Rs) Plant Gain Gls)= st25t2 Closed -ap System Cpin (a): when the P-Cntrol Gain kls)=k changes the PI-trol S)-K(1+...
Rs) Plant Gain Gls)= st25t2 Closed -ap System Cpin (a): when the P-Cntrol Gain kls)=k changes the PI-trol S)-K(1+ SOIVE the chaVacteristic eruentin, Sketd the rat locus atont chouging C6) when the P-tl Cain kis)=e donges the ID-Cantrl Gain Kis) -Ks5)( Solve the Charmcteristic equation, Sketch the reot ous abnt chenying e:when the PCwntrol Gain 1S KIS)-K, Determine and Pole's psition damping Jatio o. 5 and Plot the S0 that the donain rts have Yoot latus e PD-Lontnl Gain is...
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...
Q.10- For the system shown in Figure 5 with K (s + 3)(s +5) Gs)s-2)s-4) Find the range of gain, K, which will cause the system to be stable. Cs) Q.11. Draw the Root Locus of the following systems. Find the points of intersection with the real and imaginary axis. 6(s)H(s)- s(s +2) K(s+5) of- Draw the Bode diagram of the following tmamsfer finction. His)- -100 s +12s +21s +10 213- Obtain the phase and gain margins of the system...
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...
Question 3 (10 +10+10+15 45 marks) E(s) C(s) R(s) Figure 3: Unity feedback control system for Question 3 For the unity feedback control system shown in Figure 3, 100 G(S) (s+2)(+10) Page 3 of 7 NEE3201 Examination Paper CRICOS Provider No: 00124k a) Determine the phase margin, the gain crossover frequency, the gain margin, the phase crossover frequency of the system when Gc(s)-1, 10 marks) b) Design a proportional controller Gc(s)-K so that a phase margin of 50° is achieved....
please show every step clearly
3. Find the gain and phase margins of the negative unity feedback systems where G(o) Solution: 1. Let 10 mu t5)u, +10) Wy = 0 (ignored), wgーー8.0627 (ignored), w,-8.0627 99.0118 Let 10 there is no solution. You can chcck your solution by MATLAB command: G-t10,comv(1,6,5],1,101), (GM,PM,Wg, We]-margin(G)
3. Find the gain and phase margins of the negative unity feedback systems where G(o) Solution: 1. Let 10 mu t5)u, +10) Wy = 0 (ignored), wgーー8.0627 (ignored),...
Question 3 Consider an adaptive control system plant, k is the adaptive control gain, t is time and s is the Laplace variable time-varying parameter of the shown in Figure Q3, where a is a as У() r(t) G(s) a e(t) k s(s+1) Figure Q3 The gain k is adaptively adjusted so that the closed loop system has the transfer function of a desired model 1 M(s) +1 i.e. the plant output y(t) follows the model output ym(t) = M(s)r(t)...
Question #5 [20 points) R(S) - --- G(s) G(s) - G(S) = Ks (s + 1)(s + 2) a) Find the root locus for the above system. ) For what values of K, the system is stable Answer: B. Determine the gain and phase margins of the system. GM = _ PM = C. What is wgc(gain cross over frequency) ge D. What is ape(Phase cross over frequency) Wpc E. Is the system stable, why? F. Sketch the step response...
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?
The Bode diagram of the forward-nath transfer function of a unity-feedback control system is obtained experimentally when the forward gain Kis set at its nominal valuc. (a) Find the gain and phase margins of the system from the diagram as best you can read them. Find the gain- and phase-crossover frequencies. (b) Repeat part (a) if the gain is doubled from its nominal value. (c) Repeat part (a) if the gain is 10 times its nominal value. (d) Find out...
Rs) Plant Gain Gls)= st25t2 Closed -ap System Cpin (a): when the P-Cntrol Gain kls)=k changes the PI-trol S)-K(1+ SOIVE the chaVacteristic eruentin, Sketd the rat locus atont chouging C6) when the P-tl Cain kis)=e donges the ID-Cantrl Gain Kis) -Ks5)( Solve the Charmcteristic equation, Sketch the reot ous abnt chenying e:when the PCwntrol Gain 1S KIS)-K, Determine and Pole's psition damping Jatio o. 5 and Plot the S0 that the donain rts have Yoot latus e PD-Lontnl Gain is...
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...
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