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A plant with the transfer function Gp(s)-- with unity feedback has the root locus shown in the figure below: (s+2)(s+4) Root Locus 1.5 C(s) 0.5 0.5 1.5 .3 Real Axis (seconds) (a) Determine K of G...
Problem 4. The open-loop transfer function of a unity feedback system is 20 G(s) S+1.5) (s +3.5) ...
Problem 4. The open-loop transfer function of a unity feedback system is 20 G(s) S+1.5) (s +3.5) (s +15) (a) Design a lag-lead compensator for G(s) using root locus so that the closed-loop system satisfies the design specifications. (b) Design a PID compensator for G(s) using root locus so that the closed-loop system satisfies the design specifications. Design specifications -SSE to a unit step reference input is less than 0.02. Overshoot is less than 20%. Peak time is less than...
Problem 4. The open-loop transfer function of a unity feedback system is: 20 (s+1.5)(s 3.5) (s 15...
Problem 4. The open-loop transfer function of a unity feedback system is: 20 (s+1.5)(s 3.5) (s 15) G(s) (a) Design a lag-lead compensator for G(s) using root locus so that the closed-loop system satisfies the design specifications (b) Design a PID compensator for G (s) using root locus so that the clos ed-loop system satisfies the design specifications. Design specifications .SSE to a unit step reference input is less than 0.02. Overshoot is less than 20% Peak time is less...
A system having an open loop transfer function of G(S) = K10/(S+2)(3+1) has a root locus...
A system having an open loop transfer function of G(S) = K10/(S+2)(3+1) has a root locus plot as shown below. The location of the roots for a system gain of K= 0.248 is show on the plot. At this location the system has a damping factor of 0.708 and a settling time of 4/1.5 = 2.67 seconds. A lead compensator is to be used to improve the transient response. (Note that nothing is plotted on the graph except for that...
Consider the sontrol system shown in the figure below: R(S) + E(s) C(s) K (s +...
Consider the sontrol system shown in the figure below: R(S) + E(s) C(s) K (s + 4)(s + 6) g) Sketch the uncompensated system root locus showing all details. (5 Points) h) Find the dominant closed loop poles of the uncompensated system to operate with a 16.3% overshoot and peak time tp = 0.7255 (make sure to show this point on the Root Locus) (5 Points) (s+z) Now we want to design a PI compensator of the form to increase...
4) 3s points 11. Given the unity feedback system of Figure P9.1 with G(s) K (s + 6) do the following: [Section: 9.3 a. Sketch the root locus. b) Using the operating point of -3.2+j2.38 find the g...
4) 3s points 11. Given the unity feedback system of Figure P9.1 with G(s) K (s + 6) do the following: [Section: 9.3 a. Sketch the root locus. b) Using the operating point of -3.2+j2.38 find the gain K. c) if the system is to be cascade-compensated so that T, -1 sec, find the compensator compensator zero is at -45. pole if the d) Sketch the root locus for the new compensated system.
4) 3s points 11. Given the unity...
4. A lead compensator with a transfer function Ge(s) = K(s+0.5)/(s+3) has been designed for a...
4. A lead compensator with a transfer function Ge(s) = K(s+0.5)/(s+3) has been designed for a Space vehicle with the transfer function 1/s? such that at the dominant closed loop poles are located at -1 +/-jl. (1) What is the angle deficiency of the uncompensated system at the designed point provided by the location of the dominant poles? Show that the compensator provides the necessary lead angle at the designed point to satisfy the root locus angle criterion. (iii) What...
4. A lead compensator with a transfer function Ge(s)=K(+0.5/(s+3) has been designed for a Space vehicle...
4. A lead compensator with a transfer function Ge(s)=K(+0.5/(s+3) has been designed for a Space vehicle with the transfer function 1/s' such that at the dominant closed loop poles are located at -1 +/-j1. (0) What is the angle deficiency of the uncompensated system at the designed point provided by the location of the dominant poles? Show that the compensator provides the necessary lead angle at the designed point to satisfy the root locus angle criterion. What value of K...
Given the system above, determine the gain K for a lead/lag compensator so the system meets the desired responses: Settles at about 2 seconds Has a percent overshoot of about 33% The plant has a tran...
Given the system above, determine the gain K for a lead/lag
compensator so the system meets the desired responses:
Settles at about 2 seconds
Has a percent overshoot of about 33%
The plant has a transfer function of: Gp = (s+18) / (
(s+1)*(s+8) )
Assume that the pole of the lead/lag compensator has a pole at
s = -5.
1 Gc(S) Gp(S) R(s) Y(S) Given the system above, determine the gain K for a lead/lag compensator so the system...
Given the system above, determine the gain K for a lead/lag compensator so the system meets the desired responses: Settles at about 2 seconds Has a percent overshoot of about 33% The plant has a tra...
Given the system above, determine the gain K for a lead/lag
compensator so the system meets the desired responses:
Settles at about 2 seconds
Has a percent overshoot of about 33%
The plant has a transfer function of: Gp = (s+18) / (
(s+1)*(s+8) )
Assume that the pole of the lead/lag compensator has a pole at
s = -5.
1 Gc(s) R(S) Gp(s) Y(S) Given the system above, determine the gain K for a lead/lag compensator so the system...
For the given system above, determine the gain K that will give the system desired response below: Settling time of 5 seconds Peak time of 0.5 seconds The given plant has a transfer function of: Gp...
For the given system above, determine the gain K that will give
the system desired response below:
Settling time of 5 seconds
Peak time of 0.5 seconds
The given plant has a transfer function of: Gp = (s + 4)/( (s +
1)*(s + 3) )
The controller has a transfer function of: Gc =
(s+27.75)/s
QUESTION 2 10 points Save Answer Y(S) R(s) Gc(s) Gp(s) For the given system above, determine the gain K that will give the system...
Problem 4. The open-loop transfer function of a unity feedback system is 20 G(s) S+1.5) (s +3.5) (s +15) (a) Design a lag-lead compensator for G(s) using root locus so that the closed-loop system satisfies the design specifications. (b) Design a PID compensator for G(s) using root locus so that the closed-loop system satisfies the design specifications. Design specifications -SSE to a unit step reference input is less than 0.02. Overshoot is less than 20%. Peak time is less than...
Problem 4. The open-loop transfer function of a unity feedback system is: 20 (s+1.5)(s 3.5) (s 15) G(s) (a) Design a lag-lead compensator for G(s) using root locus so that the closed-loop system satisfies the design specifications (b) Design a PID compensator for G (s) using root locus so that the clos ed-loop system satisfies the design specifications. Design specifications .SSE to a unit step reference input is less than 0.02. Overshoot is less than 20% Peak time is less...
A system having an open loop transfer function of G(S) = K10/(S+2)(3+1) has a root locus plot as shown below. The location of the roots for a system gain of K= 0.248 is show on the plot. At this location the system has a damping factor of 0.708 and a settling time of 4/1.5 = 2.67 seconds. A lead compensator is to be used to improve the transient response. (Note that nothing is plotted on the graph except for that...
Consider the sontrol system shown in the figure below: R(S) + E(s) C(s) K (s + 4)(s + 6) g) Sketch the uncompensated system root locus showing all details. (5 Points) h) Find the dominant closed loop poles of the uncompensated system to operate with a 16.3% overshoot and peak time tp = 0.7255 (make sure to show this point on the Root Locus) (5 Points) (s+z) Now we want to design a PI compensator of the form to increase...
4) 3s points 11. Given the unity feedback system of Figure P9.1 with G(s) K (s + 6) do the following: [Section: 9.3 a. Sketch the root locus. b) Using the operating point of -3.2+j2.38 find the gain K. c) if the system is to be cascade-compensated so that T, -1 sec, find the compensator compensator zero is at -45. pole if the d) Sketch the root locus for the new compensated system.
4) 3s points 11. Given the unity...
4. A lead compensator with a transfer function Ge(s) = K(s+0.5)/(s+3) has been designed for a Space vehicle with the transfer function 1/s? such that at the dominant closed loop poles are located at -1 +/-jl. (1) What is the angle deficiency of the uncompensated system at the designed point provided by the location of the dominant poles? Show that the compensator provides the necessary lead angle at the designed point to satisfy the root locus angle criterion. (iii) What...
4. A lead compensator with a transfer function Ge(s)=K(+0.5/(s+3) has been designed for a Space vehicle with the transfer function 1/s' such that at the dominant closed loop poles are located at -1 +/-j1. (0) What is the angle deficiency of the uncompensated system at the designed point provided by the location of the dominant poles? Show that the compensator provides the necessary lead angle at the designed point to satisfy the root locus angle criterion. What value of K...
Given the system above, determine the gain K for a lead/lag
compensator so the system meets the desired responses:
Settles at about 2 seconds
Has a percent overshoot of about 33%
The plant has a transfer function of: Gp = (s+18) / (
(s+1)*(s+8) )
Assume that the pole of the lead/lag compensator has a pole at
s = -5.
1 Gc(S) Gp(S) R(s) Y(S) Given the system above, determine the gain K for a lead/lag compensator so the system...
Given the system above, determine the gain K for a lead/lag
compensator so the system meets the desired responses:
Settles at about 2 seconds
Has a percent overshoot of about 33%
The plant has a transfer function of: Gp = (s+18) / (
(s+1)*(s+8) )
Assume that the pole of the lead/lag compensator has a pole at
s = -5.
1 Gc(s) R(S) Gp(s) Y(S) Given the system above, determine the gain K for a lead/lag compensator so the system...
For the given system above, determine the gain K that will give
the system desired response below:
Settling time of 5 seconds
Peak time of 0.5 seconds
The given plant has a transfer function of: Gp = (s + 4)/( (s +
1)*(s + 3) )
The controller has a transfer function of: Gc =
(s+27.75)/s
QUESTION 2 10 points Save Answer Y(S) R(s) Gc(s) Gp(s) For the given system above, determine the gain K that will give the system...
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