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A linear system is described by the transfer function G(o) Determine the location of the pole in ...
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...
design a lead compensator For the system with the following open loop transfer function, G(S) (05s+1 Design a lead c...
design a lead compensator
For the system with the following open loop transfer function, G(S) (05s+1 Design a lead compensator so that the velocity error constant 20 sec and the phase margin is at least 50°
For the system with the following open loop transfer function, G(S) (05s+1 Design a lead compensator so that the velocity error constant 20 sec and the phase margin is at least 50°
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...
please show steps 5. GH(s) is a minimum-phase system which has the Bode plot shown below. It is desired to increase the phase margin by 40 degrees and also increase the closed-loop system bandwidth....
please show steps
5. GH(s) is a minimum-phase system which has the Bode plot shown below. It is desired to increase the phase margin by 40 degrees and also increase the closed-loop system bandwidth. Design a lead compensator for this purpose. Determine (1) the ratio of the pole to the zero, α , (2) the frequency where the maximum phase shift from the compensator should be placed, and then (3) the pole and zero. You need not draw the Bode...
only b and c please 1 Consider the system whose transfer function is given by: G(S)...
only b and c please
1 Consider the system whose transfer function is given by: G(S) == (2s +1)(s+3) unction is given by: G(s) - (a) Use the root-locus design methodology to design a lead compensator that will provide a closed-loop damping 5 =0.4 and a natural frequency on =9 rad/sec. The general transfer function for lead compensation is given by D(5)=K (977), p>z, 2=2 (b) Use MATLAB to plot the root locus of the feed-forward transfer function, D(s)*G(s), and...
urgent! II Lead-Lag Controller Design A plant has the open-loop transfer function with unity feedback: 20(s +1) G, (s) s(10s +D(0.1258 +D(0.05s +1)(0.02s +1) Design a phase lag-lead compensator th...
urgent!
II Lead-Lag Controller Design A plant has the open-loop transfer function with unity feedback: 20(s +1) G, (s) s(10s +D(0.1258 +D(0.05s +1)(0.02s +1) Design a phase lag-lead compensator that satisfies the following specifications must by the compensated system 1. The steady-state error for a unit ramp input must be 0.002; 2. The compensated phase margin must be approximately 48; must be approximately 25 rad/sec.
II Lead-Lag Controller Design A plant has the open-loop transfer function with unity feedback: 20(s...
Determine the transfer function of the phase-lead compensator that can be used with the follow open-loop...
Determine the transfer function of the phase-lead compensator that can be used with the follow open-loop transfer function in order to give a phase margin of 45° 30 G(s) = s(s+3) Include the Bode plots for the original system (G(s)) and the compensated system (Gc(s)G(s), where Gc(s) is the transfer function of the phase-lead compensator). The Bode plots must show t phase margin (use the margin command or Itiview in MATLAB).
4. The transfer function of temperature control system is given by a 1 G (8) (0.5s1)...
4. The transfer function of temperature control system is given by a 1 G (8) (0.5s1) (s1) (2s + 1) Design a compensator such that the static position error constant, Kp 9 and the phase margin is at least 25°.
4. The transfer function of temperature control system is given by a 1 G (8) (0.5s1) (s1) (2s + 1) Design a compensator such that the static position error constant, Kp 9 and the phase margin is at least 25°.
QUESTION 1 Given the transfer function for a control system: 10 G(s) (1 + s)(0.5s +...
QUESTION 1 Given the transfer function for a control system: 10 G(s) (1 + s)(0.5s + 1) 1.1 Determine the polar representation: Magnitude (gain) and Phase (polar form), as a function of angular frequency w. Show steps. (6) 1.2 Make use of the table below and determine the Magnitude, Magnitude (in dB) and phase for the indicated frequencies. (rad/sec) G(jw)- Magnitude Gain [dB] = 20 log10 Magnitude Phase [degrees] 0.5 5 50
Given the system above, determine the zero location for a lead/lag compensator so the system meets the desired responses: Settles at about 2 seconds Has a percent overshoot of about 50% The plant ha...
Given the system above, determine the zero location for a
lead/lag compensator so the system meets the desired responses:
Settles at about 2 seconds
Has a percent overshoot of about 50%
The plant has a transfer function of: Gp = (s+14) / (
(s+0)*(s+4) )
Assume that the pole of the lead/lag compensator has a pole at
s = -1.
QUESTION 5 1- GC(s) Gp(s) Y(S) R(S) Given the system above, determine the zero location for a lead/lag compensator so...
design a lead compensator
For the system with the following open loop transfer function, G(S) (05s+1 Design a lead compensator so that the velocity error constant 20 sec and the phase margin is at least 50°
For the system with the following open loop transfer function, G(S) (05s+1 Design a lead compensator so that the velocity error constant 20 sec and the phase margin is at least 50°
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...
please show steps
5. GH(s) is a minimum-phase system which has the Bode plot shown below. It is desired to increase the phase margin by 40 degrees and also increase the closed-loop system bandwidth. Design a lead compensator for this purpose. Determine (1) the ratio of the pole to the zero, α , (2) the frequency where the maximum phase shift from the compensator should be placed, and then (3) the pole and zero. You need not draw the Bode...
only b and c please
1 Consider the system whose transfer function is given by: G(S) == (2s +1)(s+3) unction is given by: G(s) - (a) Use the root-locus design methodology to design a lead compensator that will provide a closed-loop damping 5 =0.4 and a natural frequency on =9 rad/sec. The general transfer function for lead compensation is given by D(5)=K (977), p>z, 2=2 (b) Use MATLAB to plot the root locus of the feed-forward transfer function, D(s)*G(s), and...
urgent!
II Lead-Lag Controller Design A plant has the open-loop transfer function with unity feedback: 20(s +1) G, (s) s(10s +D(0.1258 +D(0.05s +1)(0.02s +1) Design a phase lag-lead compensator that satisfies the following specifications must by the compensated system 1. The steady-state error for a unit ramp input must be 0.002; 2. The compensated phase margin must be approximately 48; must be approximately 25 rad/sec.
II Lead-Lag Controller Design A plant has the open-loop transfer function with unity feedback: 20(s...
Determine the transfer function of the phase-lead compensator that can be used with the follow open-loop transfer function in order to give a phase margin of 45° 30 G(s) = s(s+3) Include the Bode plots for the original system (G(s)) and the compensated system (Gc(s)G(s), where Gc(s) is the transfer function of the phase-lead compensator). The Bode plots must show t phase margin (use the margin command or Itiview in MATLAB).
4. The transfer function of temperature control system is given by a 1 G (8) (0.5s1) (s1) (2s + 1) Design a compensator such that the static position error constant, Kp 9 and the phase margin is at least 25°.
4. The transfer function of temperature control system is given by a 1 G (8) (0.5s1) (s1) (2s + 1) Design a compensator such that the static position error constant, Kp 9 and the phase margin is at least 25°.
QUESTION 1 Given the transfer function for a control system: 10 G(s) (1 + s)(0.5s + 1) 1.1 Determine the polar representation: Magnitude (gain) and Phase (polar form), as a function of angular frequency w. Show steps. (6) 1.2 Make use of the table below and determine the Magnitude, Magnitude (in dB) and phase for the indicated frequencies. (rad/sec) G(jw)- Magnitude Gain [dB] = 20 log10 Magnitude Phase [degrees] 0.5 5 50
Given the system above, determine the zero location for a
lead/lag compensator so the system meets the desired responses:
Settles at about 2 seconds
Has a percent overshoot of about 50%
The plant has a transfer function of: Gp = (s+14) / (
(s+0)*(s+4) )
Assume that the pole of the lead/lag compensator has a pole at
s = -1.
QUESTION 5 1- GC(s) Gp(s) Y(S) R(S) Given the system above, determine the zero location for a lead/lag compensator so...
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