![6) Consider the feedback system in Figure 1 with the loop transfer function a) [8 Marks] Plot the Bode diagram for this loop transfer function b) 10 Marks] Determine the frequency at which the gain has unit magnitude and compute the phase angle at that frequency. Controller Process G(s)Y(s) Figure 1](http://img.homeworklib.com/questions/693ecb20-7c1e-11eb-b5a9-db345fb1b99b.png?x-oss-process=image/resize,w_560)
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6) Consider the feedback system in Figure 1 with the loop transfer function a) [8 Marks]...
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...
A unity gain negative feedback system has an open-loop transfer function given by 4. s) =...
A unity gain negative feedback system has an open-loop transfer function given by 4. s) = s(1 + 10s)(1 + 10s)? Draw a Bode diagram for this system and determine the loop gain K required for a phase margin of 20 deg. What is the gain margin? 5. We are given the closed-loop transfer function 10(s + 1) T(s) = 82+98+10 for a "unity feedback" system and asked to find the open-loop transfer function, generate a log-magnitude-phase plot for both...
5. Consider the feedback system in Figure 4 where! G(s) = 26+10% Figure 4 The Bode...
5. Consider the feedback system in Figure 4 where! G(s) = 26+10% Figure 4 The Bode plot of G is shown in Figure 5. Boda Diagram Magnitude (dB) -100- -156 -135 -root -225 10 Frequency radici Figure 5: Bode plot of G (a) [2 marks] Find the phase margin, gain margin and gain crossover frequency (approximate as needed) for the case when C(s) = 1. PM = GM = wc = You are asked to design a feedback controller C(s)...
Consider a negative feedback system whose open-loop transfer function is: G(s)H(s)=K/(s(s+1)) Write a MATLAB program to...
Consider a negative feedback system whose open-loop transfer function is: G(s)H(s)=K/(s(s+1)) Write a MATLAB program to obtain the root-locus plot of G(s)H(s). [2 marks] What are the locations of poles when K = 0.19. [2 marks] When K = 0.4, what are the locations of poles? [3 marks] Find values of the damping ratio, % overshoot and frequency when K = 0.4. [3 marks] Write a MATLAB program to obtain a bode plot of G(s)H(s) when K = 1. [2...
Consider the transfer function of a DC motor given by G(s) = 1 / s(s+2) 3. Consider the transfer function of a DC motor...
Consider the transfer function of a DC motor given by G(s) = 1 /
s(s+2)
3. Consider the transfer function of a DC motor given by 1 G(s) s (s2) The objective of this question is to consider the problem of control design for this DC motor, with the feedback control architecture shown in the figure below d(t r(t) e(t) e(t) C(s) G(s) Figure 4: A feedback control system (a) Find the magnitude and the phase of the frequency response...
PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s)...
PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s) = 20/s(s+2)(8+4). Design a PD controller so that the closed loop has a damping ratio of 0.8 and natural frequency of oscillation as 2 rad/sec. b) 100 Consider a unity feedback system with open loop transfer function, aus. Design a PID controller, so that the phase margin of (S-1) (s + 2) (s+10) the system is 45° at a frequency of 4 rad/scc and...
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...
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
1) (10 pts) Consider the unity feedback system shown in the figure: For each of the...
1) (10 pts) Consider the unity feedback system shown in the figure: For each of the following transfer function G(s), plot its Bode plots using Matlab command "bode", and then work on the plots to find out the crossover frequency phase margin . the phase crossover frequency and the gain margin GM: (a) G(s)= , the S+4 s(s + l)(s + 2)(s +10) (b) Gs)100
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...
A unity gain negative feedback system has an open-loop transfer function given by 4. s) = s(1 + 10s)(1 + 10s)? Draw a Bode diagram for this system and determine the loop gain K required for a phase margin of 20 deg. What is the gain margin? 5. We are given the closed-loop transfer function 10(s + 1) T(s) = 82+98+10 for a "unity feedback" system and asked to find the open-loop transfer function, generate a log-magnitude-phase plot for both...
5. Consider the feedback system in Figure 4 where! G(s) = 26+10% Figure 4 The Bode plot of G is shown in Figure 5. Boda Diagram Magnitude (dB) -100- -156 -135 -root -225 10 Frequency radici Figure 5: Bode plot of G (a) [2 marks] Find the phase margin, gain margin and gain crossover frequency (approximate as needed) for the case when C(s) = 1. PM = GM = wc = You are asked to design a feedback controller C(s)...
Consider the transfer function of a DC motor given by G(s) = 1 /
s(s+2)
3. Consider the transfer function of a DC motor given by 1 G(s) s (s2) The objective of this question is to consider the problem of control design for this DC motor, with the feedback control architecture shown in the figure below d(t r(t) e(t) e(t) C(s) G(s) Figure 4: A feedback control system (a) Find the magnitude and the phase of the frequency response...
PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s) = 20/s(s+2)(8+4). Design a PD controller so that the closed loop has a damping ratio of 0.8 and natural frequency of oscillation as 2 rad/sec. b) 100 Consider a unity feedback system with open loop transfer function, aus. Design a PID controller, so that the phase margin of (S-1) (s + 2) (s+10) the system is 45° at a frequency of 4 rad/scc and...
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...
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
1) (10 pts) Consider the unity feedback system shown in the figure: For each of the following transfer function G(s), plot its Bode plots using Matlab command "bode", and then work on the plots to find out the crossover frequency phase margin . the phase crossover frequency and the gain margin GM: (a) G(s)= , the S+4 s(s + l)(s + 2)(s +10) (b) Gs)100
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...
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