The following EOMS describe the behavior of a dynamic system ( à = -K₁a + din b= K₁a-K₂b K₂b-K3c=ċ Assume K₁, K2, K3 are constant, and din is the input. A. How many states does this system of equations have, and why? B. Write the state space form of the system as x = Ax+ Bu. You will have to define your state vector and input vector. Clearly identify the matrices. C. Assume the desired output of the system is the vector y that consists of a and K₂b as individual elements. Write the output equation in the form of y = Cx+ Du. Clearly identify the matrices.
The following EOMS describe the behavior of a dynamic system ( à = -K₁a + din b= K₁a-K₂b K₂b-K3c=ċ Assume K₁, K2, K3 are constant, and din is the input. A. How many states does this system of equations have, and why? B. Write the state space form of the system as x = Ax+ Bu. You will have to define your state vector and input vector. Clearly identify the matrices. C. Assume the desired output of the system is the vector y that consists of a and K₂b as individual elements. Write the output equation in the form of y = Cx+ Du. Clearly identify the matrices.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
![The following EOMs describe the behavior of a dynamic system (
à =
-K₁a + din
b = K₁a - K₂b
K₂b - K3c = ċ
Assume K₁, K2, K3 are constant, and din is the input.
A. How many states does this system of equations have, and why?
B. Write the state space form of the system as x = Ax + Bu. You will have to define your state vector and input vector.
Clearly identify the matrices.
C. Assume the desired output of the system is the vector y that consists of a and K₂b as individual elements. Write the
output equation in the form of y = Cx + Du. Clearly identify the matrices.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c49c29d-b734-4891-8a07-7c122a77a78d%2F5566608c-6034-46ee-979f-8c60fd9b9d38%2Fyzkgsbv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The following EOMs describe the behavior of a dynamic system (
à =
-K₁a + din
b = K₁a - K₂b
K₂b - K3c = ċ
Assume K₁, K2, K3 are constant, and din is the input.
A. How many states does this system of equations have, and why?
B. Write the state space form of the system as x = Ax + Bu. You will have to define your state vector and input vector.
Clearly identify the matrices.
C. Assume the desired output of the system is the vector y that consists of a and K₂b as individual elements. Write the
output equation in the form of y = Cx + Du. Clearly identify the matrices.
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