Difference between revisions of "FAQ: In equation (6.23), shouldn't the B matrix have omega 0^2?"

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A: Actually, the term as listed is correct.  The model uses the state space representation
 
A: Actually, the term as listed is correct.  The model uses the state space representation
 
<center><math>
 
<center><math>
x = \begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} q \\ \dot q/omega_0 \end{bmatrix}.
+
x = \begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} q \\ \dot q/\omega_0 \end{bmatrix}.
 
</math></center>
 
</math></center>
 
It follows by working through the equations that the given equations are correct.
 
It follows by working through the equations that the given equations are correct.
 
}}
 
}}

Latest revision as of 13:04, 28 August 2016

(Contributed by Richard Murray, 28 Aug 2016)

In equation (6.22), the input term has a factor . Shouldn't the matrix in equation (6.23) be to match this?

A: Actually, the term as listed is correct. The model uses the state space representation

It follows by working through the equations that the given equations are correct.