The transfer function for the state representation of the continuous time LTI system: dq(t)/dt=Aq(t)+Bx(t) Y(t)=Cq(t)+Dx(t) is given by:
A. C(sI-A)-1B+D
B. B(sI-A)-1B+D
C. C(sI-A)-1B+A
D. D(sI-A)-1B+C
Answer:A
The transfer function for the state representation of the continuous time LTI system: dq(t)/dt=Aq(t)+Bx(t) Y(t)=Cq(t)+Dx(t) is given by:
A. C(sI-A)-1B+D B. B(sI-A)-1B+D C. C(sI-A)-1B+A D. D(sI-A)-1B+C
Explanation: Transfer function which is ratio of Laplace output to the Laplace input when the initial conditions are zero and is calculated by using both the equations.