Home » Signals and Systems » Signals and systems electrical engineering miscellaneous » Question

Signals and systems electrical engineering miscellaneous

  1. For the system governed by the set of equations:
    dx1/dt = 2x1 + x2 + 4
    dx2 /dt = – 2x1 + 4
    y = 3x1
    the transfer function Y(s)/U(s) is given by
    1. 3(s + 1)/(s² – 2s + 2)
    2. 3(2s + 1)(s² – 2s + 1)
    3. (s + 1)/(s² – 2s + 1)
    4. 3(2s + 1)(s² – 2s + 2)
Correct Option: A

dx1
= 2x1 + x2 + 4
dt

dx2
= - 2x1 + 4
dt

y = 3x1
Now from the standard equation xi = Ax + BU
y = Cx + DU
x1 = 2    1x1 + 1[4]
x2- 2    2x21

y = [3 0]x1
x2

Transfer function
y(s)
C(SI - A)-1 B
u(s)



Your comments will be displayed only after manual approval.