1.

A system can be represented in the form of state equations as:S (n+1) =A S (n) +B x (n)Y (n) = C S (n) +D x (n)Where, A, B, C, D are the matrices , S(n) is the state vector , x(n) is the input and y(n) is the output . The transfer function of the system.H (z) =Y (z)/X (z) is given by:a) A(ZI – B)-1 C + Db) B(ZI – C)-1 D + Ac) C(ZI – A)-1 B + Dd) D(ZI –

A. A(ZI – B)-1 C + D
B. B(ZI – C)-1 D + A
C. C(ZI – A)-1 B + D
D. D(ZI – A)-1 C + B
Answer» D. D(ZI – A)-1 C + B


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