Sketch Nyquist plot for G(s)H(s) for 0.9
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A feedback control system with adjustable gain K is shown as in Figure 4.1. Here, Q4 1 and H (s) where b 2a bs +a G(s)=...
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a l...
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a lead compensator so that the closed-loop system satisfies the following specifications (i) The steady-state error to a unit-ramp input is less than 1/200 (ii) The unit-step response has an overshoot of less than 16% Ts +1 Hint: Compensator, Dc(s)=aTs+ 1, wm-T (18 marks)...
1. Consider the usual unity-feedback closed-loop control system with a proportional-gain controll...
1. Consider the usual unity-feedback closed-loop control system with a proportional-gain controller Sketch (by hand) and fully label a Nyquist plot with K-1 for each of the plants listed below.Show all your work. Use the Nyquist plot to determine all values of K for which the closed-loop system is stable. Check your answers using the Routh-Hurwitz Stability Test. [15 marks] (a) P(s)-2 (b) P(s)-1s3 (c) P(s) -4-8 s+2 (s-2) (s+10)
1. Consider the usual unity-feedback closed-loop control system with a...
Please explain part b and C in detail. Figure 6 shows a feedback control system for...
Please explain part b and C in detail.
Figure 6 shows a feedback control system for which G(s) = 6 (s + 1)3 J' and K(s) is the transfer function of a compensator. (a) Sketch the Nyquist diagram of G(s) evaluating the real-axis intercepts and their corre- sponding frequencies. [10 marks] (b) Show that the closed-loop system will oscillate at frequency w = V3 rad s-1 when the closed-loop gain is K = ? (5 marks] (c) Design a proportional-derivative...
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...
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...
Question 4 (a) A feedback control system with a proportional controller is shown in Figure Q4...
Question 4 (a) A feedback control system with a proportional controller is shown in Figure Q4 (a). (i) Sketch the root locus of the system, (ii) Design the proportional controller (choose the value of K) such that the damping ratio does not exceed 0.5 and the time constant is less than 1 second. [All necessary steps of root locus construction and controller design must be shown). C(s) R(S) + s(s+4)(s + 10) Figure Q4 (a). A feedback control system [11...
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...
P6.1. Figure P6.1 shows a simple negative feedback control system with a variable gain, K, in...
P6.1. Figure P6.1 shows a simple negative feedback control system with a variable gain, K, in the feedback element. Determine the smallest value of K that would render this closed-loop system unstable, using the Nyquist stability criterion
b) A feedback control system is shown in Figure 6. Determine the gain, K for stable...
b) A feedback control system is shown in Figure 6. Determine the gain, K for stable operation using Routh-Hurwitz technique, where K is a gain which can be varied. (10 Marks) Ys) ss 4) Figure 6
1. Consider the usual unity-feedback closed-loop control system with a proportional-gain controller: 19 r - PGS-Try...
1. Consider the usual unity-feedback closed-loop control system with a proportional-gain controller: 19 r - PGS-Try P(s) Draw (by hand) and fully label a Nyquist plot with K = 1 for each of the plants listed below. Show all your work. Use the Nyquist plot to determine all values of K for which the closed-loop system is stable. Check your answers using the Routh-Hurwitz Stability Test. [15 marks] (a) P(s) = (b) P(s) = s(s+13 (6+2) (©) P(s) = 32(6+1)
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a lead compensator so that the closed-loop system satisfies the following specifications (i) The steady-state error to a unit-ramp input is less than 1/200 (ii) The unit-step response has an overshoot of less than 16% Ts +1 Hint: Compensator, Dc(s)=aTs+ 1, wm-T (18 marks)...
1. Consider the usual unity-feedback closed-loop control system with a proportional-gain controller Sketch (by hand) and fully label a Nyquist plot with K-1 for each of the plants listed below.Show all your work. Use the Nyquist plot to determine all values of K for which the closed-loop system is stable. Check your answers using the Routh-Hurwitz Stability Test. [15 marks] (a) P(s)-2 (b) P(s)-1s3 (c) P(s) -4-8 s+2 (s-2) (s+10)
1. Consider the usual unity-feedback closed-loop control system with a...
Please explain part b and C in detail.
Figure 6 shows a feedback control system for which G(s) = 6 (s + 1)3 J' and K(s) is the transfer function of a compensator. (a) Sketch the Nyquist diagram of G(s) evaluating the real-axis intercepts and their corre- sponding frequencies. [10 marks] (b) Show that the closed-loop system will oscillate at frequency w = V3 rad s-1 when the closed-loop gain is K = ? (5 marks] (c) Design a proportional-derivative...
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...
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...
Question 4 (a) A feedback control system with a proportional controller is shown in Figure Q4 (a). (i) Sketch the root locus of the system, (ii) Design the proportional controller (choose the value of K) such that the damping ratio does not exceed 0.5 and the time constant is less than 1 second. [All necessary steps of root locus construction and controller design must be shown). C(s) R(S) + s(s+4)(s + 10) Figure Q4 (a). A feedback control system [11...
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...
P6.1. Figure P6.1 shows a simple negative feedback control system with a variable gain, K, in the feedback element. Determine the smallest value of K that would render this closed-loop system unstable, using the Nyquist stability criterion
b) A feedback control system is shown in Figure 6. Determine the gain, K for stable operation using Routh-Hurwitz technique, where K is a gain which can be varied. (10 Marks) Ys) ss 4) Figure 6
1. Consider the usual unity-feedback closed-loop control system with a proportional-gain controller: 19 r - PGS-Try P(s) Draw (by hand) and fully label a Nyquist plot with K = 1 for each of the plants listed below. Show all your work. Use the Nyquist plot to determine all values of K for which the closed-loop system is stable. Check your answers using the Routh-Hurwitz Stability Test. [15 marks] (a) P(s) = (b) P(s) = s(s+13 (6+2) (©) P(s) = 32(6+1)
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