consider a feedback control system shown in Fig.1, where
Homework Answers
PROBLEM-3
From a feedback Control system, an open loop transfer function is always given by ---> K*G(s)*H(s)
Now from the above Equation, we can analyze the behavior of the system, regarding which solution is attached.
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consider a feedback control system shown in Fig.1, where
Problem 3 Consider a feedback control system...
Spring 2019 3. Given a closed-loop control system with unity feedback is shown in the block...
Spring 2019 3. Given a closed-loop control system with unity feedback is shown in the block diagram. G(s) is the open-loop transfer function, and the controller is a gain, K. 1. (20) Calculate the open-loop transfer function tar →Q--t G(s) (10) Calculate the steady-state error to a step input of the open-loop system. 7. (in Bode Form) from the Bode plot. (10) Calculate the shortest possible settling time with a percentage overshoot of 5% or less. 8. 2. (10)Plot the...
Figure 1 Problem 3 For the system shown in the above figure, where G(s) a) Draw...
Figure 1 Problem 3 For the system shown in the above figure, where G(s) a) Draw a Bode diagram of the open-loop transfer function G(s) when K 10. b) On your plot, indicate the crossover frequencies, PM, and GM. Is the closed-loop system stable with K-10? c) Determine the value of K such that the phase margin is 30°. What are the gain margin and the crossover frequencies with this K? Note: You can finish problems 2-3 with the help...
KKKM3473/KKKM3314/KKKM3344 The characteristic polynomial of a feedback control system is given by 5. where K>0. Dete...
KKKM3473/KKKM3314/KKKM3344 The characteristic polynomial of a feedback control system is given by 5. where K>0. Determine the range of values of K for which the system is stable. (10 marks) The closed loop poles of a second order system are located at points -3.5+1.5t and 6. -3.5-1.51 on the complex plane. Calculate the damped natural frequency, ωd. (10 marks) 7. The Bode plots for a first order dynamic system is shown in Figure 3. Estimate the magnitude and phase when...
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 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....
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...
1- Consider the block diagram of a control system shown in Fig. 1 Rts) E ts) C(s) Gt-11027 20s Fi...
1- Consider the block diagram of a control system shown in Fig. 1 Rts) E ts) C(s) Gt-11027 20s Fig. 1 a) Find the open-loop transfer function of the system. b) Determine the system type and open-loop gain in terms of K and K, c) Find the steady-state errors of the system in terms of K and K,when the following reference inputs are applied: a. Unit ramp reference input: ) b. Parabolic reference input: r()
1- Consider the block diagram...
Can anyone please help me to solve the problem. Appreciate your help. Thank you. Y(s) Fig. 3 Consider a feedback control system shown in Fig. 3 where: 20000 G(s) - (s2+6s 8) (s 20) a) Sketch the asym...
Can anyone please help me to solve the problem. Appreciate your
help. Thank you.
Y(s) Fig. 3 Consider a feedback control system shown in Fig. 3 where: 20000 G(s) - (s2+6s 8) (s 20) a) Sketch the asymptotic Bode plot. b) Plot the Bode plot by use of MATLAB
Y(s) Fig. 3 Consider a feedback control system shown in Fig. 3 where: 20000 G(s) - (s2+6s 8) (s 20) a) Sketch the asymptotic Bode plot. b) Plot the Bode plot...
Problem 3 Consider the transfer function: 108 (s2 5s +100) (s + 1000)2 G(s) 1. Sketch...
Problem 3 Consider the transfer function: 108 (s2 5s +100) (s + 1000)2 G(s) 1. Sketch the bode diagram for G. 2. Knowing that a proportional controller with gain 1000 in a unity feedback loop with G results in an unstable system, what are the phase and gain margins of G? 3. Design a proportional controller that achieves a gain margin of 40dB. gain of 10dB at 0.01rad/s and a gain margin 4. Design that is infinity. compensator that results...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given by G(s) and the sensor transfer function is given by H(s). R(s) C(s) G(s) H(s) Figure Q3 It is known that G(s) -- K(+20) S(+5) H(s) = and K is the proportional gain. (S+10) i. Determine the closed-loop transfer function and hence the characteristic equation of the system. [6 marks] ii. Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system. Determine the...
Spring 2019 3. Given a closed-loop control system with unity feedback is shown in the block diagram. G(s) is the open-loop transfer function, and the controller is a gain, K. 1. (20) Calculate the open-loop transfer function tar →Q--t G(s) (10) Calculate the steady-state error to a step input of the open-loop system. 7. (in Bode Form) from the Bode plot. (10) Calculate the shortest possible settling time with a percentage overshoot of 5% or less. 8. 2. (10)Plot the...
Figure 1 Problem 3 For the system shown in the above figure, where G(s) a) Draw a Bode diagram of the open-loop transfer function G(s) when K 10. b) On your plot, indicate the crossover frequencies, PM, and GM. Is the closed-loop system stable with K-10? c) Determine the value of K such that the phase margin is 30°. What are the gain margin and the crossover frequencies with this K? Note: You can finish problems 2-3 with the help...
KKKM3473/KKKM3314/KKKM3344 The characteristic polynomial of a feedback control system is given by 5. where K>0. Determine the range of values of K for which the system is stable. (10 marks) The closed loop poles of a second order system are located at points -3.5+1.5t and 6. -3.5-1.51 on the complex plane. Calculate the damped natural frequency, ωd. (10 marks) 7. The Bode plots for a first order dynamic system is shown in Figure 3. Estimate the magnitude and phase when...
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 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....
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...
1- Consider the block diagram of a control system shown in Fig. 1 Rts) E ts) C(s) Gt-11027 20s Fig. 1 a) Find the open-loop transfer function of the system. b) Determine the system type and open-loop gain in terms of K and K, c) Find the steady-state errors of the system in terms of K and K,when the following reference inputs are applied: a. Unit ramp reference input: ) b. Parabolic reference input: r()
1- Consider the block diagram...
Can anyone please help me to solve the problem. Appreciate your
help. Thank you.
Y(s) Fig. 3 Consider a feedback control system shown in Fig. 3 where: 20000 G(s) - (s2+6s 8) (s 20) a) Sketch the asymptotic Bode plot. b) Plot the Bode plot by use of MATLAB
Y(s) Fig. 3 Consider a feedback control system shown in Fig. 3 where: 20000 G(s) - (s2+6s 8) (s 20) a) Sketch the asymptotic Bode plot. b) Plot the Bode plot...
Problem 3 Consider the transfer function: 108 (s2 5s +100) (s + 1000)2 G(s) 1. Sketch the bode diagram for G. 2. Knowing that a proportional controller with gain 1000 in a unity feedback loop with G results in an unstable system, what are the phase and gain margins of G? 3. Design a proportional controller that achieves a gain margin of 40dB. gain of 10dB at 0.01rad/s and a gain margin 4. Design that is infinity. compensator that results...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given by G(s) and the sensor transfer function is given by H(s). R(s) C(s) G(s) H(s) Figure Q3 It is known that G(s) -- K(+20) S(+5) H(s) = and K is the proportional gain. (S+10) i. Determine the closed-loop transfer function and hence the characteristic equation of the system. [6 marks] ii. Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system. Determine the...
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