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ECE · Q216

Control Systems

Engineering and GATE · ECE · question 216

Q216

A second order LTI system is described by the following state equations \[ d dt\] x1(t) - x2(t) = 0 \[ d dt\] x2(t) + 2x1(t) + 3x2(t) = r(t) where x1(t) and x2(t) are the two state variables and r(t) denotes the input. The output c(t) = x1(t). The system is

A second order LTI system is described by the following state equations
x1(t) - x2(t) = 0
x2(t) + 2x1(t) + 3x2(t) = r(t) where x1(t) and x2(t) are the two state variables and r(t) denotes the input. The output c(t) = x1(t).
The system is
A.
undamped (oscillatory)
B.
underdamped
C.
critically damped
D.
overdamped
Answer

Answer: Option D

Solution

Answer: Option D
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