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em Q5. Consider the Nyquist plot of the frequency response of the open-loop syst 10000 Go(s)...
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...
The open loop transfer function of an electro-mechanical system with unity feedback is: 24K G(s) S(s+2)(s +6) The Nyquist diagram of G(s) has a shape similar to the one shown below Nyquist diagram Cl...
The open loop transfer function of an electro-mechanical system with unity feedback is: 24K G(s) S(s+2)(s +6) The Nyquist diagram of G(s) has a shape similar to the one shown below Nyquist diagram Cl When K -1, calculate both the frequency and the gain at which the plot crosses the real axis Hence state the gain margin or critical gain Kc for this system. If K is chosen as K-0.2Kc, show that the gain G(jo) l at a frequency ω-1.308...
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...
A2. (a) Explain how the open-loop polar plot can be used to assess closed-loop stability by...
A2. (a) Explain how the open-loop polar plot can be used to assess closed-loop stability by applying Nyquist's stability criterion. Apply Nyquist's stability criterion to determine the stability condition for a closed-loop system that is unstable in the open-loop. [30%] = K (b) An unstable system has transfer function given by G(S) in which the gain K is S(S-2) positive. A derivative compensator H(s) = 0.5s + 1 is inserted in the negative feedback path to form a control loop....
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)
Consider the following closed-loop system, in which the plant model is P(s) = elave R()2-CO POTY()...
Consider the following closed-loop system, in which the plant model is P(s) = elave R()2-CO POTY() a) Assume C(s) = K. Determine the range of K for which the closed-loop system is stable via: (1.) the routh-hurwitz stability criteria, (ii.) the margin() command in Matlab, and (lii.) the rlocus command in Matlab. b) Assume a proportional controller of C(s) = K = 40, and a time delay T, located between the controller and plant. Determine the maximum T, value that...
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)
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(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):...
(9) Draw a Nyquist plot of the following open-loop transfer function, and determine whether the closed-loop system is stable by using the Nyquist stability criterion. (12 points) Go)HG)(45+8)...
(9) Draw a Nyquist plot of the following open-loop transfer function, and determine whether the closed-loop system is stable by using the Nyquist stability criterion. (12 points) Go)HG)(45+8)
(9) Draw a Nyquist plot of the following open-loop transfer function, and determine whether the closed-loop system is stable by using the Nyquist stability criterion. (12 points) Go)HG)(45+8)
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...
The open loop transfer function of an electro-mechanical system with unity feedback is: 24K G(s) S(s+2)(s +6) The Nyquist diagram of G(s) has a shape similar to the one shown below Nyquist diagram Cl When K -1, calculate both the frequency and the gain at which the plot crosses the real axis Hence state the gain margin or critical gain Kc for this system. If K is chosen as K-0.2Kc, show that the gain G(jo) l at a frequency ω-1.308...
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...
A2. (a) Explain how the open-loop polar plot can be used to assess closed-loop stability by applying Nyquist's stability criterion. Apply Nyquist's stability criterion to determine the stability condition for a closed-loop system that is unstable in the open-loop. [30%] = K (b) An unstable system has transfer function given by G(S) in which the gain K is S(S-2) positive. A derivative compensator H(s) = 0.5s + 1 is inserted in the negative feedback path to form a control loop....
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)
Consider the following closed-loop system, in which the plant model is P(s) = elave R()2-CO POTY() a) Assume C(s) = K. Determine the range of K for which the closed-loop system is stable via: (1.) the routh-hurwitz stability criteria, (ii.) the margin() command in Matlab, and (lii.) the rlocus command in Matlab. b) Assume a proportional controller of C(s) = K = 40, and a time delay T, located between the controller and plant. Determine the maximum T, value that...
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)
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(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):...
(9) Draw a Nyquist plot of the following open-loop transfer function, and determine whether the closed-loop system is stable by using the Nyquist stability criterion. (12 points) Go)HG)(45+8)
(9) Draw a Nyquist plot of the following open-loop transfer function, and determine whether the closed-loop system is stable by using the Nyquist stability criterion. (12 points) Go)HG)(45+8)
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