Question
Approach Problem-Transfer Function from State Space [4 pts] Given the following state space representation in (2), find the transfer function representation H(S)=Y(s)/R(s) by hand
Approach Problem-Transfer Function from State Space [4 pts] Given the following state space representation in (2), find the transfer function representation H(S)=Y(s)/R(s) by hand using the formula: H(s) = C(SIA)-B + D and the formula below for 3x3 matrix inverse. Hint: use the zeros in [B] and [C] to reduce the required hand computation. 1 0 . ] [1] = -2 A.A 0 0 0 . *3. Then the inverse matrix is: B = 3x3 -1 a b de 9hk (ek-fh) 1 (dk-fg) (ak-cg) -(bk-ch) (bf-ce) -(af-cd) det(B) (dh-eg) (ah-bg) (ae - bd) Where det(B) is equal to: det(B) = a(ek-fh)-b(dk-fg)+c(dh - eg) y=[0 2 0] x2 +Or [x3] (2) (3)
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