Consider a system described by the following differential equation where r(t) and y(t) are the input and output, respectively: d'y(t)dy(t) dt dy(t) dt 2- + 3- +5 +y(t) = r(t) dr X, = y Define x, = x, select the correct state space model of this system: x, = x, X1 1 0. 0 r(t) X2 = 10 -1x x2+ [1 -2 -3 X3] Lo.5] y(t) =D [1 0 0이] xx2 [x3] x x2 +0r(t) 0.5 %3D [-0.5 -2.5 -1.5 y(t) 3 [1 0 이] xx2 [x3 O None of them are correct. 0. 1 x x2+0r(t) 1 -2 -3 %3D X2 -5. X3 X3.
Consider a system described by the following differential equation where r(t) and y(t) are the input and output, respectively: d'y(t)dy(t) dt dy(t) dt 2- + 3- +5 +y(t) = r(t) dr X, = y Define x, = x, select the correct state space model of this system: x, = x, X1 1 0. 0 r(t) X2 = 10 -1x x2+ [1 -2 -3 X3] Lo.5] y(t) =D [1 0 0이] xx2 [x3] x x2 +0r(t) 0.5 %3D [-0.5 -2.5 -1.5 y(t) 3 [1 0 이] xx2 [x3 O None of them are correct. 0. 1 x x2+0r(t) 1 -2 -3 %3D X2 -5. X3 X3.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Question 24
Consider a system described by the following differential equation where
r(t) and y(t) are the input and output, respectively:
d'y(t)dy(t)
dy(t)
2
dr
+3
dr2
+ 5
dt
+y(t) = r(t)
X; = y
Define {x, =x, select the correct state space model of this system:
x =x,
= 10
-1
r(t)
0.5
1
-2
-3
X3
[X1
y(t) = [1 0 0] x x2
X3
+0 r(t)
[0.5
1
-0.5 -2.5 -1.5]
Txl
y(t) = [1 0 0] x x2
O None of them are correct.
0.
1
0.
1
r(t)
-2 -3
-5
X3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdadf204e-8740-407e-b305-4ae13948e53e%2F473e1b09-55c6-449f-a7b8-0b6cab9fb864%2Fkphced_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 24
Consider a system described by the following differential equation where
r(t) and y(t) are the input and output, respectively:
d'y(t)dy(t)
dy(t)
2
dr
+3
dr2
+ 5
dt
+y(t) = r(t)
X; = y
Define {x, =x, select the correct state space model of this system:
x =x,
= 10
-1
r(t)
0.5
1
-2
-3
X3
[X1
y(t) = [1 0 0] x x2
X3
+0 r(t)
[0.5
1
-0.5 -2.5 -1.5]
Txl
y(t) = [1 0 0] x x2
O None of them are correct.
0.
1
0.
1
r(t)
-2 -3
-5
X3
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