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Consider the closed loop system shown in the give figure:
The state model of the system is
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x1̇ 
= 1 0 x1 + 0 u , y = [ 1 0 ] x1 x2̇ -β -α x2 1 x2 -
x1̇ = 0 1 x1 + 0 u , y = [ 1 0 ] x1 x2̇ -β -α x2 1 x2 -
x1̇ = 1 0 x1 + 1 u , y = [ 1 0 ] x1 x2̇ -β -α x2 0 x2 - none of these
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Correct Option: B
From given Block diagram
Y (s) = X1 (s)
| ⇒ Y = [1 0 ] | | x1 | |
| x2 |
x1̇ = x2
∴ x2̇ = u - α x2 - β x1
| x1̇ | | = | | 0 | | | x1 | | + | | 0 | | u | |||
| x2̇ | -β | -α | x2 | 1 |
