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Question 24 Consider a system described by the following differential equation where r(t) and y(t) are the input and output, respectively: d'y(t)dy(t) dy(t) 2

Question 24 Consider a system described by the following differential equation where r(t) and y(t) are the input and output, respectively: d'y(t)dy(t) dy(t) 2 dr +3 dr2 + 5 dt +y(t) = r(t) X; = y Define {x, =x, select the correct state space model of this system: x =x, = 10 -1 r(t) 0.5 1 -2 -3 X3 [X1 y(t) = [1 0 0] x x2 X3 +0 r(t) [0.5 1 -0.5 -2.5 -1.5] Txl y(t) = [1 0 0] x x2 O None of them are correct. 0. 1 0. 1 r(t) -2 -3 -5 X3

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