![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.](http://img.homeworklib.com/questions/655fe080-bca8-11ea-aaec-87b34832a2ff.png?x-oss-process=image/resize,w_560)
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Figure 1 shows a closed-loop control system in which G(S)-40/1 (S+2) (S+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) +...
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...
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)-40/1 (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)
b) The Nyquist plot of a unity feedback control system is as shown in Figure Q5(b)....
b) The Nyquist plot of a unity feedback control system is as shown in Figure Q5(b). Nyqulst Diagram x 10 1.5 1- System: N Real: -9.08e-005 0.5- Imag: -5.62e-006 Frequency (rad/sec): -104 -0.5 -15 -1.5 0.5 0.5 1.5 1 2.5 3.5 Real Axis x 10 Figure Q5(b) K If the transfer function of the system is given as G(s) (s+10)(s+50)(s+150) determine the following: The closed loop stability of the system using Nyquist Stability Criterion. i) ii) Gain margin and phase...
(i)Apply the Nyquist criterion to find the gain Kp at which the closed loop system becomes...
(i)Apply the Nyquist criterion to find the gain Kp at which the
closed loop system becomes marginally stable and the practical
range of safe operating gains for the proportional controller.
(ii) Find the gain margin of the system when the operating gain
of the controller Kp = 2. Use Fig. 2 to read the required values
off the plot.
Proportional Controller Process R(S) Y() Figure 1: Unity Feedback Systems Consider again the system in Fig. 1. The plant transfer function...
A closed-loop unity feedback system has the loop gain G(z) given below. (a) Show that the...
A closed-loop unity feedback system has the loop gain G(z) given below. (a) Show that the system is unstable using the Routh-Hurwitz criterion. (b) Show that the system is unstable by examining its Nyquist plot. (c) Use MATLAB to determine the gain margin of the system. (d) Now decrease the gain of the system by approximately 1 dB by setting G(z) 3. equal to Gn(z) as given below and show that the resulting system is stable by repeating steps (a)...
Problem 2: For a unity feedback system where the plant is defined as G(s) K s(s+3)(s...
Problem 2: For a unity feedback system where the plant is defined as G(s) K s(s+3)(s +5) a. Sketch the Nyquist Counter path and Nyquist diagram. Clearly show the real and imag- inary axis intercept points and the low and high frequency asymptotes. (10 pts) b. Using the Nyquist criterion, obtain the range of K in which the system can be stable, unstable, and also find the value of gain K for marginal stability. (7 pts) c. Calculate the frequency...
. S3 G(s) H (s) = K s2 + s-4 For the closed loop system use a Nyquist plot to, a. Classify the st...
. S3 G(s) H (s) = K s2 + s-4 For the closed loop system use a Nyquist plot to, a. Classify the stability of the system. b. Find the range of K for a stable system. (analytic by hand) c. Find the value of K for a marginally stable system. (analytic by hand)
. S3 G(s) H (s) = K s2 + s-4 For the closed loop system use a Nyquist plot to, a. Classify the stability of the...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5) A proportional controller is used to control the system as shown in Figure 6 below: Y(s) R(s) + G(s) Figure 6: A control system with a proportional controller a) Assume Hp(s) is a proportional controller with the transfer function H,(s) kp. Determine, using the Routh-Hurwitz Stability Criterion, the value of kp for which the closed-loop system in Figure 6 is marginally stable. (6...
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...
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)-40/1 (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)
b) The Nyquist plot of a unity feedback control system is as shown in Figure Q5(b). Nyqulst Diagram x 10 1.5 1- System: N Real: -9.08e-005 0.5- Imag: -5.62e-006 Frequency (rad/sec): -104 -0.5 -15 -1.5 0.5 0.5 1.5 1 2.5 3.5 Real Axis x 10 Figure Q5(b) K If the transfer function of the system is given as G(s) (s+10)(s+50)(s+150) determine the following: The closed loop stability of the system using Nyquist Stability Criterion. i) ii) Gain margin and phase...
(i)Apply the Nyquist criterion to find the gain Kp at which the
closed loop system becomes marginally stable and the practical
range of safe operating gains for the proportional controller.
(ii) Find the gain margin of the system when the operating gain
of the controller Kp = 2. Use Fig. 2 to read the required values
off the plot.
Proportional Controller Process R(S) Y() Figure 1: Unity Feedback Systems Consider again the system in Fig. 1. The plant transfer function...
A closed-loop unity feedback system has the loop gain G(z) given below. (a) Show that the system is unstable using the Routh-Hurwitz criterion. (b) Show that the system is unstable by examining its Nyquist plot. (c) Use MATLAB to determine the gain margin of the system. (d) Now decrease the gain of the system by approximately 1 dB by setting G(z) 3. equal to Gn(z) as given below and show that the resulting system is stable by repeating steps (a)...
Problem 2: For a unity feedback system where the plant is defined as G(s) K s(s+3)(s +5) a. Sketch the Nyquist Counter path and Nyquist diagram. Clearly show the real and imag- inary axis intercept points and the low and high frequency asymptotes. (10 pts) b. Using the Nyquist criterion, obtain the range of K in which the system can be stable, unstable, and also find the value of gain K for marginal stability. (7 pts) c. Calculate the frequency...
. S3 G(s) H (s) = K s2 + s-4 For the closed loop system use a Nyquist plot to, a. Classify the stability of the system. b. Find the range of K for a stable system. (analytic by hand) c. Find the value of K for a marginally stable system. (analytic by hand)
. S3 G(s) H (s) = K s2 + s-4 For the closed loop system use a Nyquist plot to, a. Classify the stability of the...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5) A proportional controller is used to control the system as shown in Figure 6 below: Y(s) R(s) + G(s) Figure 6: A control system with a proportional controller a) Assume Hp(s) is a proportional controller with the transfer function H,(s) kp. Determine, using the Routh-Hurwitz Stability Criterion, the value of kp for which the closed-loop system in Figure 6 is marginally stable. (6...
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