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1.) G(S) H(s) = 1 40 (5+2)(5+3) 5+4 a.) Find Gain margin and determine if its...
Figure 1 shows a closed-loop control system in which G(S)-40/1 (5+2) (5+3)], and H(S)-1/15+4) R(s) E(S)...
Figure 1 shows a closed-loop control system in which G(S)-40/1 (5+2) (5+3)], and H(S)-1/15+4) R(s) E(S) Y(5) G(s) H(s) Figure 2 shows the Nyquist plot for the open-loop transfer function. Systemsys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s): -5.16 Using the Nyquist criterion a) Find out the gain margin expressed in dB. Is the system stable or unstable? (25 points) b) What is the value of the gain expressed in dB that makes the system marginally stable?(25 points)
Find a & b Figure 1 shows a closed-loop control system in which G(S)-40/1 (S+2) (S+3)],...
Find a & b
Figure 1 shows a closed-loop control system in which G(S)-40/1 (S+2) (S+3)], and H(S)-1/(S+4) Y(s) H(s) Figure 2 shows the Nyquist plot for the open-loop transfer function. System: sys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s): -5.16 Using the Nyquist criterion a) Find out the gain margin expressed in dB. Is the system stable or unstable? (25 points) b) What is the value of the gain expressed in dB that makes the system marginally stable? (25 points)
Figure 1 shows a closed-loop control system in which G(S)=40/[ (S+2) (S+3)], and H(S)=1/(S+4) R(S) E(S)...
Figure 1 shows a closed-loop control system in which G(S)=40/[ (S+2) (S+3)], and H(S)=1/(S+4) R(S) E(S) Y(s) G(S) HS) Figure 2 shows the Nyquist plot for the open-loop transfer function. Figure 2 shows the Nyquist plot for the open-loop transfer function System: sys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s): -5.16 Using the Nyquist criterion: a) Find out the gain margin expressed in dB. Is the system stable or unstable? (25 points) b) What is the value of the gain expressed...
Figure 1 shows a closed-loop control system in which G(S)=40/[ (S+2) (S+3)], and H(S)=1/(S+4) R(3) +...
Figure 1 shows a closed-loop control system in which G(S)=40/[ (S+2) (S+3)], and H(S)=1/(S+4) R(3) + E(S) Y() G(s) H(S) Figure 2 shows the Nyquist plot for the open-loop transfer function. Nywist Diagram Systems imag: 2.5606 FC-56 THVL AM On RAH System: sys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s): -5.16 Figure 2 shows the Nyquist plot for the open-loop transfer function. Nyulat Diagram 05 Systems imag: 250 os ghar Axle 5.10 05 System: sys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s):...
Figure 1 shows a closed-loop control system in which G(S)=40/[ (S+2) (S+3)], and H(S)=1/(S+4) R(3) E(s)...
Figure 1 shows a closed-loop control system in which G(S)=40/[ (S+2) (S+3)], and H(S)=1/(S+4) R(3) E(s) Y(s) G(s) H(s) Figure 2 shows the Nyquist plot for the open-loop transfer function. NON BH Figure 2 shows the Nyquist plot for the open-loop transfer function. NOM & NON System: sys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s): -5.16 structure.com/courses/68755/quizzes/411964/take S 2 NA System: sys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s): -5.16 Using the Nyquist criterion: a) Find out the gain margin expressed in...
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.)...
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...
Q.3(a) Transfer function model of a plant is, G(s) The controller is Ge(s)-K, where K is a constant. Find the value of K such that steady-state error for unit ramp input is 0.1. Find the gain margin...
Q.3(a) Transfer function model of a plant is, G(s) The controller is Ge(s)-K, where K is a constant. Find the value of K such that steady-state error for unit ramp input is 0.1. Find the gain margin and the phase mar gin (6 marks) (b) What are the effects on gain margin, phase margin and steady-state error, if the gain K is increased? (3 marks (c) Can the closed loop be unstable if the controller of Q.3(a) is implemented digi...
3. Given the unity feedback system, where G(s) = s(s +2) (s+3)(s +4) do the following:...
3. Given the unity feedback system, where G(s) = s(s +2) (s+3)(s +4) do the following: (a) Sketch the root locus (b) Find the asymptotes c) Find the value of gain that will make the system marginally stable (d) Find the value of gain for which the closed-loop transfer function will have a pole on the real axis at-0.5
A plant has a transfer function G(s) -2)(e and feedback H(s) - and feedback H(s)- (s+2)...
A plant has a transfer function G(s) -2)(e and feedback H(s) - and feedback H(s)- (s+2) (s+4) (s+6) (a) What is the characteristic equation for this system ? (2 points) (b) Sketch the root locus of this system (3 points) (c) Compute all asymptote angles 8a and the appropriate real-axis intercept of the asymptote ơ? (5 points) Find the value of K of the above system to make it marginally stable (8 points) Compute the oscillation frequency of the marginally...
Figure 1 shows a closed-loop control system in which G(S)-40/1 (5+2) (5+3)], and H(S)-1/15+4) R(s) E(S) Y(5) G(s) H(s) Figure 2 shows the Nyquist plot for the open-loop transfer function. Systemsys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s): -5.16 Using the Nyquist criterion a) Find out the gain margin expressed in dB. Is the system stable or unstable? (25 points) b) What is the value of the gain expressed in dB that makes the system marginally stable?(25 points)
Find a & b
Figure 1 shows a closed-loop control system in which G(S)-40/1 (S+2) (S+3)], and H(S)-1/(S+4) Y(s) H(s) Figure 2 shows the Nyquist plot for the open-loop transfer function. System: sys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s): -5.16 Using the Nyquist criterion a) Find out the gain margin expressed in dB. Is the system stable or unstable? (25 points) b) What is the value of the gain expressed in dB that makes the system marginally stable? (25 points)
Figure 1 shows a closed-loop control system in which G(S)=40/[ (S+2) (S+3)], and H(S)=1/(S+4) R(S) E(S) Y(s) G(S) HS) Figure 2 shows the Nyquist plot for the open-loop transfer function. Figure 2 shows the Nyquist plot for the open-loop transfer function System: sys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s): -5.16 Using the Nyquist criterion: a) Find out the gain margin expressed in dB. Is the system stable or unstable? (25 points) b) What is the value of the gain expressed...
Figure 1 shows a closed-loop control system in which G(S)=40/[ (S+2) (S+3)], and H(S)=1/(S+4) R(3) + E(S) Y() G(s) H(S) Figure 2 shows the Nyquist plot for the open-loop transfer function. Nywist Diagram Systems imag: 2.5606 FC-56 THVL AM On RAH System: sys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s): -5.16 Figure 2 shows the Nyquist plot for the open-loop transfer function. Nyulat Diagram 05 Systems imag: 250 os ghar Axle 5.10 05 System: sys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s):...
Figure 1 shows a closed-loop control system in which G(S)=40/[ (S+2) (S+3)], and H(S)=1/(S+4) R(3) E(s) Y(s) G(s) H(s) Figure 2 shows the Nyquist plot for the open-loop transfer function. NON BH Figure 2 shows the Nyquist plot for the open-loop transfer function. NOM & NON System: sys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s): -5.16 structure.com/courses/68755/quizzes/411964/take S 2 NA System: sys Real: -0.187 Imag: 2.56e-05 Frequency: (rad/s): -5.16 Using the Nyquist criterion: a) Find out the gain margin expressed in...
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.)...
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...
Q.3(a) Transfer function model of a plant is, G(s) The controller is Ge(s)-K, where K is a constant. Find the value of K such that steady-state error for unit ramp input is 0.1. Find the gain margin and the phase mar gin (6 marks) (b) What are the effects on gain margin, phase margin and steady-state error, if the gain K is increased? (3 marks (c) Can the closed loop be unstable if the controller of Q.3(a) is implemented digi...
3. Given the unity feedback system, where G(s) = s(s +2) (s+3)(s +4) do the following: (a) Sketch the root locus (b) Find the asymptotes c) Find the value of gain that will make the system marginally stable (d) Find the value of gain for which the closed-loop transfer function will have a pole on the real axis at-0.5
A plant has a transfer function G(s) -2)(e and feedback H(s) - and feedback H(s)- (s+2) (s+4) (s+6) (a) What is the characteristic equation for this system ? (2 points) (b) Sketch the root locus of this system (3 points) (c) Compute all asymptote angles 8a and the appropriate real-axis intercept of the asymptote ơ? (5 points) Find the value of K of the above system to make it marginally stable (8 points) Compute the oscillation frequency of the marginally...
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