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Question 9 Obtain the magnitude response of the Bode diagram in the following open loop transform...
Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s).
1 Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s). Determine the phase margin, gain-crossover frequency, gain margin and phase-crossover frequency, (Sketch the bode diagram by hand) 2 Consider the system shown as below. Use MATLAB to draw a bode diagram of the open-loop transfer function G(s). Show the gain-crossover frequency and phase-crossover frequency in the Bode diagram and determine the phase margin and gain margin. 3. Consider the system shown as below. Design a...
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), id...
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), iden- tifying the zero gain, the slopes (in Decibels) and the high-frequency cutt-off rate. Then verify with Matlab (6) wn = 1, 〈 0.0.1, and 0.707. (8) Assuming the system of Problem 6 above, and an input of r(t) = 30sin(1000 t), use your bode plot to obtain the steady-state response
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), iden- tifying the...
2) Hand sketch the asymptotes of the Bode plot magnitude and phase for the following open-loop...
2) Hand sketch the asymptotes of the Bode plot magnitude and phase for the following open-loop transfer functions. G()=— -2 (3) (s + 1)(+2)(8+3)
P4) Consider a system with open loop transfer function of G(s) ? a) Sketch the Bode...
P4) Consider a system with open loop transfer function of G(s) ? a) Sketch the Bode plot. b) Design a PI controller to make the system have a phase margin of 45°. Assume that the open loop s+1)3 gain results in acceptable steady-state error
Assignment 3: Frequency Domain Controller Design using Bode-plots 10 2 Augment the open loop plant G()...
Assignment 3: Frequency Domain Controller Design using Bode-plots 10 2 Augment the open loop plant G() +27 with sim ple feedback an a dynamic compensator to meet the following specifications: (a) a cross over frequency of w 3 [rad/sec). (b) a phase margin better than 45o (c) a steady state error when tracking a step input < 5%. in H(s) G(s) Recall that Bode plots are applied to the loop gain. out
Bode Plots Sketch the Bode plot magnitude and phase for each of the three open-loop transfer...
Bode Plots Sketch the Bode plot magnitude and phase for each of the three open-loop transfer functions listed below. Verify your results using the bode m function in MATLAB.(a) \(G(s)=\frac{100}{s(0.1 s+1)(0.01 s+1)}\)(b) \(G(s)=\frac{1}{(s+1)^{2}\left(s^{2}+s+9\right)}\)(c) \(G(s)=\frac{16000 s}{(s+1)(s+100)\left(s^{2}+5 s+1600\right)}\)
Problem 3. For the above feedback system, the bode diagram of the stable open-loop transfer function...
Problem 3. For the above feedback system, the bode diagram of the stable open-loop transfer function G(s) is plotted below: (a) Find the approximate gain margin and phase margin of the system? Is the closed-loop system stable? (b) Suppose in the closed-loop system (s) is replaced with KG(8). What is the range of K so that the closed-loop system is stable? (C) Determine the system type of G(s). (d) Estimate the steady-state errors of the closed-loop system for tracking the...
Assignment 3: Frequency Domain Controller Design using Bode-plots 2 Augment the open loop plant G(s) =...
Assignment 3: Frequency Domain Controller Design using Bode-plots 2 Augment the open loop plant G(s) = RS), with sim- ple feedback an a dynamic compensator to meet the following specifications: (a) a cross over frequency of we 3 [rad/sec] (b) a phase margin better than 45. (c) a steady state error when tracking a step input < 5%. in H(s) G(sRecall that Bode plots are applied to the loop gain. out
Question 13 10 poi Given the open loop gan Bode plot diagram of a system, Chose...
Question 13 10 poi Given the open loop gan Bode plot diagram of a system, Chose the best sentonce that describes the closed loop system Bode Diagram 50 45 35 30 25 20 15 45 30 15 0 -15 -30 45. -60 75 -105 -120 -135 10 10 10 Frequency (radsec) O The system is stable O The system is unstable only because the gain is greater than 0 when the phase is-180 O The system is unstable only because...
Question #4 (25 points): Consider the open loop system that has the following transfer function 1 G(S) = 10s+ 35 Us...
Question #4 (25 points): Consider the open loop system that has the following transfer function 1 G(S) = 10s+ 35 Using Matlab: a) Plot the step response of the open loop system and note the settling time and steady state 15 pts error. b) Add proportional control K 300 and simulate the step response of the closed loop 15 pts system. Note the settling time, %OS and steady state error. c) Add proportional derivate control Kp 300, Ko 10 and...
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), iden- tifying the zero gain, the slopes (in Decibels) and the high-frequency cutt-off rate. Then verify with Matlab (6) wn = 1, 〈 0.0.1, and 0.707. (8) Assuming the system of Problem 6 above, and an input of r(t) = 30sin(1000 t), use your bode plot to obtain the steady-state response
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), iden- tifying the...
2) Hand sketch the asymptotes of the Bode plot magnitude and phase for the following open-loop transfer functions. G()=— -2 (3) (s + 1)(+2)(8+3)
P4) Consider a system with open loop transfer function of G(s) ? a) Sketch the Bode plot. b) Design a PI controller to make the system have a phase margin of 45°. Assume that the open loop s+1)3 gain results in acceptable steady-state error
Assignment 3: Frequency Domain Controller Design using Bode-plots 10 2 Augment the open loop plant G() +27 with sim ple feedback an a dynamic compensator to meet the following specifications: (a) a cross over frequency of w 3 [rad/sec). (b) a phase margin better than 45o (c) a steady state error when tracking a step input < 5%. in H(s) G(s) Recall that Bode plots are applied to the loop gain. out
Problem 3. For the above feedback system, the bode diagram of the stable open-loop transfer function G(s) is plotted below: (a) Find the approximate gain margin and phase margin of the system? Is the closed-loop system stable? (b) Suppose in the closed-loop system (s) is replaced with KG(8). What is the range of K so that the closed-loop system is stable? (C) Determine the system type of G(s). (d) Estimate the steady-state errors of the closed-loop system for tracking the...
Assignment 3: Frequency Domain Controller Design using Bode-plots 2 Augment the open loop plant G(s) = RS), with sim- ple feedback an a dynamic compensator to meet the following specifications: (a) a cross over frequency of we 3 [rad/sec] (b) a phase margin better than 45. (c) a steady state error when tracking a step input < 5%. in H(s) G(sRecall that Bode plots are applied to the loop gain. out
Question 13 10 poi Given the open loop gan Bode plot diagram of a system, Chose the best sentonce that describes the closed loop system Bode Diagram 50 45 35 30 25 20 15 45 30 15 0 -15 -30 45. -60 75 -105 -120 -135 10 10 10 Frequency (radsec) O The system is stable O The system is unstable only because the gain is greater than 0 when the phase is-180 O The system is unstable only because...
Question #4 (25 points): Consider the open loop system that has the following transfer function 1 G(S) = 10s+ 35 Using Matlab: a) Plot the step response of the open loop system and note the settling time and steady state 15 pts error. b) Add proportional control K 300 and simulate the step response of the closed loop 15 pts system. Note the settling time, %OS and steady state error. c) Add proportional derivate control Kp 300, Ko 10 and...
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