Control package: Difference between revisions

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4 bytes added ,  28 September 2015
Line 512: Line 512:
<math>
<math>
\begin{cases}
\begin{cases}
(M+m)\ddot{x}+c\dot{x}+ml\ddot{\theta}=f(t)\\
(M+m)\ddot{x}+c\dot{x}+ml\ddot{\theta}&=f(t)\\
ml\dot{x}+(ml^2+I)\ddot{\theta}+b\dot{\theta}-mgl\theta=0
ml\dot{x}+(ml^2+I)\ddot{\theta}+b\dot{\theta}-mgl\theta&=0
\end{cases}\text{.}
\end{cases}\text{.}
</math>
</math>
Line 521: Line 521:
<math>
<math>
\begin{cases}
\begin{cases}
(M+m)s^2X(s)+csX(s)+mls^2\Theta(s)=F(s)\\
(M+m)s^2X(s)+csX(s)+mls^2\Theta(s)&=F(s)\\
mlsX(s)+(ml^2+I)s^2\Theta(s)+bs\Theta(s)-mgl\Theta(s)=0
mlsX(s)+(ml^2+I)s^2\Theta(s)+bs\Theta(s)-mgl\Theta(s)&=0
\end{cases}
\end{cases}
</math>
</math>
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