QUESTION 1 Given the following open-loop plant, 20 G(S) = (S+2)(S+4) (S+8) Design a controller to yield a 15% overshoot and a settling time of 0.75 second. Place the third pole 10 times the as far from the imaginary axis as the dominant pole pair. Use the phase variable for state-variable feedback. QUESTION 2 2.1 Consider the following transfer function: G(S) = (S+6) (S+3)(S+8)(S+10) [10] If the system is represented in cascade form, as shown in Figure P2.1. Design a controller to yield a closed loop respond of 10% overshoot with a settling of 1 second. Design the controller by transforming the plant to phase variable. Figure P2.1: U(s) Z3(s) 5+6 Z2(s) Y(s) = Z1(s) s+3 s+8 s+10 QUESTION 3 Develop a flowchart for the digital compensator bellow. X(z) z + 0.5 Gc(z) = E(z) z20.5z+0.7 (10) [10] Total [30]
QUESTION 1 Given the following open-loop plant, 20 G(S) = (S+2)(S+4) (S+8) Design a controller to yield a 15% overshoot and a settling time of 0.75 second. Place the third pole 10 times the as far from the imaginary axis as the dominant pole pair. Use the phase variable for state-variable feedback. QUESTION 2 2.1 Consider the following transfer function: G(S) = (S+6) (S+3)(S+8)(S+10) [10] If the system is represented in cascade form, as shown in Figure P2.1. Design a controller to yield a closed loop respond of 10% overshoot with a settling of 1 second. Design the controller by transforming the plant to phase variable. Figure P2.1: U(s) Z3(s) 5+6 Z2(s) Y(s) = Z1(s) s+3 s+8 s+10 QUESTION 3 Develop a flowchart for the digital compensator bellow. X(z) z + 0.5 Gc(z) = E(z) z20.5z+0.7 (10) [10] Total [30]
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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![QUESTION 1
Given the following open-loop plant,
20
G(S) =
(S+2)(S+4) (S+8)
Design a controller to yield a 15% overshoot and a settling time of 0.75 second.
Place the third pole 10 times the as far from the imaginary axis as the dominant pole
pair. Use the phase variable for state-variable feedback.
QUESTION 2
2.1 Consider the following transfer function:
G(S) =
(S+6)
(S+3)(S+8)(S+10)
[10]
If the system is represented in cascade form, as shown in Figure P2.1. Design a controller to
yield a closed loop respond of 10% overshoot with a settling of 1 second. Design the
controller by transforming the plant to phase variable.
Figure P2.1:
U(s)
Z3(s)
5+6
Z2(s)
Y(s) = Z1(s)
s+3
s+8
s+10
QUESTION 3
Develop a flowchart for the digital compensator bellow.
X(z)
z + 0.5
Gc(z)
=
E(z)
z20.5z+0.7
(10)
[10]
Total [30]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7093e661-a361-4152-80c3-7000ae1f0eee%2F61a0229a-89fb-44b2-8111-55f4e842a8f8%2Fizaf5y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QUESTION 1
Given the following open-loop plant,
20
G(S) =
(S+2)(S+4) (S+8)
Design a controller to yield a 15% overshoot and a settling time of 0.75 second.
Place the third pole 10 times the as far from the imaginary axis as the dominant pole
pair. Use the phase variable for state-variable feedback.
QUESTION 2
2.1 Consider the following transfer function:
G(S) =
(S+6)
(S+3)(S+8)(S+10)
[10]
If the system is represented in cascade form, as shown in Figure P2.1. Design a controller to
yield a closed loop respond of 10% overshoot with a settling of 1 second. Design the
controller by transforming the plant to phase variable.
Figure P2.1:
U(s)
Z3(s)
5+6
Z2(s)
Y(s) = Z1(s)
s+3
s+8
s+10
QUESTION 3
Develop a flowchart for the digital compensator bellow.
X(z)
z + 0.5
Gc(z)
=
E(z)
z20.5z+0.7
(10)
[10]
Total [30]
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