GATE Electronics and Communications (EC) 2011 Solved Paper

Question : 49 of 65

Marks: +1, -0

The block diagram of a system with one input u and two outputs y₁ and y₂ is given below.

A state space model of the above system in terms of the state vector

x↙{‾}

and the output vector

{y}↙{‾}={[\table y_1 , y_2]}^T

${˙{x}↙{‾}=[2] {x}↙{‾}+[1] u ; {y}↙{‾}={[\table 1 , 2]} {x}↙{‾}$
${˙{x}↙{‾}=[-2] {x}↙{‾}+[1] u ; {y}↙{‾}={[\table 1 ; 2]} {x}↙{‾}$
${˙{x}↙{‾}={[\table -2 , 0 ; 0 , -2]} {x}↙{‾}+{[\table 1 ; 1]} u ; {y}↙{‾}={[\table 1 , 2]} {x}↙{‾}$
${˙{x}↙{‾}={[\table 2 , 0 ; 0 , 2]} {x}↙{‾}+{[\table 1 ; 1]} u ; {y}↙{‾}={[\table 1 ; 2]} {x}↙{‾}$

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