Electrical Engineering Consider the CT T.I.L.S. whose representation through state variables is the Dynam that follows: 0.3 1 dæ(t) 0.3 1 æ(t) + 1 u(t); æ(0) = a° dt 0.3 10 y(t) = [c1 c2 c3 ]¤(t) Below, some statements are made: Statement 1: For the system to be observable, the coefficient c3 of the output vecte non-zero, regardless of the values of the other two. Statement 2: The system will always be observable regardless of the values of the c of the output vector. Statement 3: For the system to be observable, the coefficient c1 of the output vecte non-zero, regardless of the values of the other two. Statement 4: For the system to be observable, the coefficients of the output vector non-zero and distinct from each other. Choose which of the following options is correct and justify it: a) All four statements are wrong.
Electrical Engineering Consider the CT T.I.L.S. whose representation through state variables is the Dynam that follows: 0.3 1 dæ(t) 0.3 1 æ(t) + 1 u(t); æ(0) = a° dt 0.3 10 y(t) = [c1 c2 c3 ]¤(t) Below, some statements are made: Statement 1: For the system to be observable, the coefficient c3 of the output vecte non-zero, regardless of the values of the other two. Statement 2: The system will always be observable regardless of the values of the c of the output vector. Statement 3: For the system to be observable, the coefficient c1 of the output vecte non-zero, regardless of the values of the other two. Statement 4: For the system to be observable, the coefficients of the output vector non-zero and distinct from each other. Choose which of the following options is correct and justify it: a) All four statements are wrong.
Introductory Circuit Analysis (13th Edition)
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Publisher:Robert L. Boylestad
Chapter1: Introduction
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![2. Controls and Servomechanism Task
Electrical Engineering
Consider the CT T.I.L.S. whose representation through state variables is the Dynamic Equation
that follows:
0.3
1
dæ(t)
0.3
1
æ(t) +
1
u(t); æ(0) = x°
dt
0.3
10
y(t) = [C1 c2 c3]¤(t)
c2 c3]æ(t)
Below, some statements are made:
Statement 1: For the system to be observable, the coefficient c3 of the output vector must be
non-zero, regardless of the values of the other two.
Statement 2: The system will always be observable regardless of the values of the coefficients
of the output vector.
Statement 3: For the system to be observable, the coefficient c1 of the output vector must be
non-zero, regardless of the values of the other two.
Statement 4: For the system to be observable, the coefficients of the output vector must be
non-zero and distinct from each other.
Choose which of the following options is correct and justify it:
a) All four statements are wrong.
b) Statement 1 is correct and the others are not.
c) Statement 2 is correct and the others are not.
d) Statement 3 is correct and the others are not.
e) Statement 4 is correct and the others are not.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65cedae7-859d-485f-bfb4-55c26c91d62e%2F20892d38-9ce0-4f10-bdcd-1256224c1377%2F8c9mum5_processed.png&w=3840&q=75)
Transcribed Image Text:2. Controls and Servomechanism Task
Electrical Engineering
Consider the CT T.I.L.S. whose representation through state variables is the Dynamic Equation
that follows:
0.3
1
dæ(t)
0.3
1
æ(t) +
1
u(t); æ(0) = x°
dt
0.3
10
y(t) = [C1 c2 c3]¤(t)
c2 c3]æ(t)
Below, some statements are made:
Statement 1: For the system to be observable, the coefficient c3 of the output vector must be
non-zero, regardless of the values of the other two.
Statement 2: The system will always be observable regardless of the values of the coefficients
of the output vector.
Statement 3: For the system to be observable, the coefficient c1 of the output vector must be
non-zero, regardless of the values of the other two.
Statement 4: For the system to be observable, the coefficients of the output vector must be
non-zero and distinct from each other.
Choose which of the following options is correct and justify it:
a) All four statements are wrong.
b) Statement 1 is correct and the others are not.
c) Statement 2 is correct and the others are not.
d) Statement 3 is correct and the others are not.
e) Statement 4 is correct and the others are not.
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