A rotational mechanical system is shown in Figure Q2c below: (i) Present the state-space equations of the system using
x_(1)=\theta _(1),x_(2)=\theta _(1)^(?)
,
x_(3)=\theta _(2),x_(4)=\theta _(2)^(?),x_(5)=\theta _(3)^(?)
as your state variables. (ii) Present the state-space model of the system where the output is
\theta _(3)
.

Question

A rotational mechanical system is shown in Figure Q2c below: (i) Present the state-space equations of the system using

x_(1)=\theta _(1),x_(2)=\theta _(1)^(?)

,

x_(3)=\theta _(2),x_(4)=\theta _(2)^(?),x_(5)=\theta _(3)^(?)

as your state variables. (ii) Present the state-space model of the system where the output is

\theta _(3)

.

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