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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
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- 3(s + 1)/(s² – 2s + 2)
- 3(2s + 1)(s² – 2s + 1)
- (s + 1)/(s² – 2s + 1)
- 3(2s + 1)(s² – 2s + 2)
Correct Option: A
= 2x1 + x2 + 4 | |
dt |
= - 2x1 + 4 | |
dt |
y = 3x1
Now from the standard equation xi = Ax + BU
y = Cx + DU
![]() | x1 | ![]() | = | ![]() | 2 | 1 | ![]() | ![]() | x1 | ![]() | + | ![]() | 1 | ![]() | [4] |
x2 | - 2 | 2 | x2 | 1 |
y = [3 0] | ![]() | x1 | ![]() |
x2 |
Transfer function | C(SI - A)-1 B | |
u(s) |
