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{ | + | 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. | ||
}} | }} |
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.