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
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Author:Sadiku, Matthew N. O.
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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.
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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