A dynamic system model is derived as left begin array l 4 ddot x 1 dot x 1 3 x 1 x 2 f(t) dot x 2 frac 1 3 x 1 2 x 2 0 end array ight where the input is (f ) and the outputs are (x 2 ) and ( dot x 1 ) a Find the state space form b Derive the state space form of the decoupled system ...

a Statespace form To write the system in statespace form we need to define state variables form stat ...

A dynamic system model is derived as [left{begin{array}{l} 4 ddot{x}_{1}-dot{x}_{1}-3 x_{1}+x_{2}=f(t) dot{x}_{2}+frac{1}{3} x_{1}+2 x_{2}=0 end{array} ight.]

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A dynamic system model is derived as

\[\left\{\begin{array}{l}
4 \ddot{x}_{1}-\dot{x}_{1}-3 x_{1}+x_{2}=f(t) \\
\dot{x}_{2}+\frac{1}{3} x_{1}+2 x_{2}=0 \end{array}\right.\]

where the input is $f$ and the outputs are $x_{2}$ and $\dot{x}_{1}$.

a. Find the state-space form.

b. Derive the state-space form of the decoupled system.

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Modeling And Analysis Of Dynamic Systems

ISBN: 9781138726420

3rd Edition

Authors: Ramin S. Esfandiari, Bei Lu

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Question Posted: Mar 21, 2024 11:01 AM

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A dynamic system model is derived as [left{begin{array}{l} 4 ddot{x}_{1}-dot{x}_{1}-3 x_{1}+x_{2}=f(t) dot{x}_{2}+frac{1}{3} x_{1}+2 x_{2}=0 end{array} ight.]

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Modeling And Analysis Of Dynamic Systems

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