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Control Systems

Control Systems
The characteristic equation for closed loop system is given as . The value of k for which the system becomes just stable is

 2
 4
 6
 8

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Control Systems
Which one of the following is the response y(t) of a casual LTI system described by H(s) = (s+1)/(s²+2s+2) for a given input x(t) = e-t u(t)?

 e-t cott*u(t)
 e-t cost*u(t)
 e-t tant*u(t)
 e-t sint*u(t)

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Control Systems
A second order control system is defined by the following equation: 4 d²c(t)/dt² + 8 dc(t)/dt + 16 c(t) = 16 u(t) The damping ratio and natural frequency for this system are respectively

 0.25 and 4 rad/s
 0.50 and 4 rad/s
 0.25 and 2 rad/s
 0.50 and 2 rad/s

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Control Systems
What is the open loop DC gain of a unity feedback control system having closed loop transfer function as

 9/4
 13/4
 4/9
 4/13

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Control Systems
Consider the function F(s) = ω/(s²+ω²). Where F(s) = Laplace transform of f(t). The final value of f(t) is equal to

 finite constant
 a value between -1 and +1
 infinite
 zero

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Control Systems
For a unity feedback control system open loop transfer function then acceleration error constant is

 0.
 50.
 20.
 infinity.

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