Question: P3.37 Consider the block diagram in Figure P3.37. Using the block diagram as a guide, obtain the state variable model of the system in the

P3.37 Consider the block diagram in Figure P3.37. Using the block diagram as a guide, obtain the state variable model of the system in the form x (t) = Ax(t)+ Bu(t)

y(t) = Cx(t)+ Du(t).

Using the state variable model as a guide, obtain a third-order differential equation model for the system.FIGURE P3.37 A block diagram model of a third- order system. U(s)

FIGURE P3.37 A block diagram model of a third- order system. U(s) + 3 + 10 5 12 + + Y(s)

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