The transfer function Y(s)/U(s) of a system described by the state equations dx/dt=-2x+2u and y(t) = 0.5x is:
A. 0.5/(s-2)
B. 1/(s-2)
C. 0.5/(s+2)
D. 1/(s+2)
Answer:D
The transfer function Y(s)/U(s) of a system described by the state equations dx/dt=-2x+2u and y(t) = 0.5x is:
A. 0.5/(s-2) B. 1/(s-2) C. 0.5/(s+2) D. 1/(s+2)
Explanation: Taking Laplace transform of the equation X(s) = 2U(s)/(s+2)