A system's I/O equation is provided as [frac{5}{6} y^{(4)}+dddot{y}+frac{1}{6} ddot{y}+frac{1}{2} y=dddot{u}+dot{u}+frac{1}{3} u] a. Find the state-space representation

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A system's I/O equation is provided as

\[\frac{5}{6} y^{(4)}+\dddot{y}+\frac{1}{6} \ddot{y}+\frac{1}{2} y=\dddot{u}+\dot{u}+\frac{1}{3} u\]

a. Find the state-space representation in controller canonical form.

b. Confirm the results of (a) in MATLAB.

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