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Control Systems

Control Systems
Find the Laplace transform for sinωt?

 1/s
 ω/(s²+ω²)
 1/s²
 s/(s²+ω²)

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Control Systems
Error constants of a system are a measure of

 transient state response.
 relative stability.
 steady state response.
 steady state response as well as transient state response.

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Control Systems
A function y (t) satisfies the following differential equation : Where, δ (t) is the delta function. Assuming zero initial condition and denoting the unit step function by u(t), y(t) can be formed as

 e-t.
 et.
 e-tu(t).
 etu(t).

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Control Systems
The characteristic equation of a feedback control is 2s4 + s3 + 3s2 + 5s + 10 = 0. The no of roots in the right half of the s-plane is

 0.
 2.
 3.
 4.

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Control Systems
Weighting function is in terms of -----------------

 Laplace transform of the ramp response
 Laplace transform of the impulse response
 Laplace transform of the step response
 Laplace transform of the parabolic response

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Control Systems
The unit step response of the system is 1 - e-t(1+t). Which is the system?

 critically stable
 unstable
 stable
 oscillatory

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