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Consider the digital control system shown in figure below. Draw a Bode diagram in the w...
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...
Question 6 Consider the system shown in Figure 4. The open-loop transfer function is given by...
Question 6 Consider the system shown in Figure 4. The open-loop transfer function is given by G() = - 2 (3+1)(0.59+1) Figure 4 Control diagram for Question 6 With the help of Matlab, design a compensator ab, design a compensator so that the static velocity error constant Kv is 5 sec, the phase margin is at least 45°, and the gain margin is at least 10 dB. [20]
The Bode diagram of the forward-nath transfer function of a unity-feedback control system is obtained experimentally when the forward gain Kis set at its nominal valuc. (a) Find the gain and phase ma...
The Bode diagram of the forward-nath transfer function of a unity-feedback control system is obtained experimentally when the forward gain Kis set at its nominal valuc. (a) Find the gain and phase margins of the system from the diagram as best you can read them. Find the gain- and phase-crossover frequencies. (b) Repeat part (a) if the gain is doubled from its nominal value. (c) Repeat part (a) if the gain is 10 times its nominal value. (d) Find out...
5. The open loop transfer function of a control system is s(1 +0.5s)(1 0.67s) Draw a Bode diagram...
5. The open loop transfer function of a control system is s(1 +0.5s)(1 0.67s) Draw a Bode diagram for the system and determine the phase margin and gain margin. Is the closed loop system stable? (a) (17 marks) (b) By how much must the gain be adjusted for a phase margin of 50°? (8 marks)
5. The open loop transfer function of a control system is s(1 +0.5s)(1 0.67s) Draw a Bode diagram for the system and determine the phase...
The Bode diagram of the forward-path transfer function of a unity- feedback control system is obtained...
The Bode diagram of the forward-path transfer function of a unity- feedback control system is obtained experimentally when the forward gain is fixed to certain value K. a) Find the gain and phase margin of the system from the diagram the best you can read. Is the system stable or unstable? Justify your answer. (25 points) b) Find out how much the gain must be changed from its original value for having a marginally stable system (25 points) Print and...
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)...
control system System Description: The figure 1 and 2 below show, respectively, components and block diagram...
control system
System Description: The figure 1 and 2 below show, respectively, components and block diagram of a motor and the measurements of velocity (via the tacho unit) and position (via the potentiometer). n represents the gearbox ratio between the rotating shaft and the output shaft. The left-hand side of the diagram represents the controller. A reference set point for the rotating shaft is entered in degrees and this is equivalent voltage. The error is calculated by subtracting the measured...
Determine the shape in the frequency plane and the Bode diagram for the transfer function K(s...
Determine the shape in the frequency plane and the Bode diagram for the transfer function K(s + 2) GH- s?(s + 4)(s + 6) For a plant that has a diagram like the one shown in the figure, design a lead compensator so that the system has a maximum elongation of 15%. 5+2 K 5 + P CONTROL 6 s(s+2) PLANTA Construct the Bode diagram for the frequency response function: 2 GH(jw) - jw (1 + jw/2)(1 + jw/5) Design...
System dynamics and control 4. A Controller K is used to control the angle y, of...
System dynamics and control
4. A Controller K is used to control the angle y, of a motor by providing the required voltage to the motor. The bode plot of the openloop system GK is shown below: a. What happens to the phase margin of the system as the time delay increases? Explain why. b. If there is time delay between the controller and the plant, what is that maximum time delay this controller can handle before it becomes unstable....
The parameters are as follows k=10 a=0.50 b=0.3 c=0.6 d=9 w_1=12 w_2=15 Kv=30 A feedback control system (illustrated in Figure 1) needs to be designed such that the closed-loop system is asymptotical...
The parameters are as follows
k=10 a=0.50 b=0.3 c=0.6 d=9 w_1=12 w_2=15
Kv=30
A feedback control system (illustrated in Figure 1) needs to be
designed such that the closed-loop system is asymptotically stable
and such that the following design criteria are met:
the gain crossover frequency wc should be between
w1 and w2.
the steady-state error should be zero in response to a unit
step reference.
the velocity constant should be greater than Kv (in
other words, the steady-state unit...
Question 6 Consider the system shown in Figure 4. The open-loop transfer function is given by G() = - 2 (3+1)(0.59+1) Figure 4 Control diagram for Question 6 With the help of Matlab, design a compensator ab, design a compensator so that the static velocity error constant Kv is 5 sec, the phase margin is at least 45°, and the gain margin is at least 10 dB. [20]
The Bode diagram of the forward-nath transfer function of a unity-feedback control system is obtained experimentally when the forward gain Kis set at its nominal valuc. (a) Find the gain and phase margins of the system from the diagram as best you can read them. Find the gain- and phase-crossover frequencies. (b) Repeat part (a) if the gain is doubled from its nominal value. (c) Repeat part (a) if the gain is 10 times its nominal value. (d) Find out...
5. The open loop transfer function of a control system is s(1 +0.5s)(1 0.67s) Draw a Bode diagram for the system and determine the phase margin and gain margin. Is the closed loop system stable? (a) (17 marks) (b) By how much must the gain be adjusted for a phase margin of 50°? (8 marks)
5. The open loop transfer function of a control system is s(1 +0.5s)(1 0.67s) Draw a Bode diagram for the system and determine the phase...
The Bode diagram of the forward-path transfer function of a unity- feedback control system is obtained experimentally when the forward gain is fixed to certain value K. a) Find the gain and phase margin of the system from the diagram the best you can read. Is the system stable or unstable? Justify your answer. (25 points) b) Find out how much the gain must be changed from its original value for having a marginally stable system (25 points) Print and...
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)...
control system
System Description: The figure 1 and 2 below show, respectively, components and block diagram of a motor and the measurements of velocity (via the tacho unit) and position (via the potentiometer). n represents the gearbox ratio between the rotating shaft and the output shaft. The left-hand side of the diagram represents the controller. A reference set point for the rotating shaft is entered in degrees and this is equivalent voltage. The error is calculated by subtracting the measured...
Determine the shape in the frequency plane and the Bode diagram for the transfer function K(s + 2) GH- s?(s + 4)(s + 6) For a plant that has a diagram like the one shown in the figure, design a lead compensator so that the system has a maximum elongation of 15%. 5+2 K 5 + P CONTROL 6 s(s+2) PLANTA Construct the Bode diagram for the frequency response function: 2 GH(jw) - jw (1 + jw/2)(1 + jw/5) Design...
System dynamics and control
4. A Controller K is used to control the angle y, of a motor by providing the required voltage to the motor. The bode plot of the openloop system GK is shown below: a. What happens to the phase margin of the system as the time delay increases? Explain why. b. If there is time delay between the controller and the plant, what is that maximum time delay this controller can handle before it becomes unstable....
The parameters are as follows
k=10 a=0.50 b=0.3 c=0.6 d=9 w_1=12 w_2=15
Kv=30
A feedback control system (illustrated in Figure 1) needs to be
designed such that the closed-loop system is asymptotically stable
and such that the following design criteria are met:
the gain crossover frequency wc should be between
w1 and w2.
the steady-state error should be zero in response to a unit
step reference.
the velocity constant should be greater than Kv (in
other words, the steady-state unit...
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