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Control Systems

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

 2.
 4.
 3.
 0.

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Control Systems
The characteristic equation of a control system is given by What are the angles of asymptotes of the root loci for k ≥ 0?

 120°, 180°, 240°
 0°, 120°, 240°
 60°, 180°, 300°
 0°, 180°, 300°

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Control Systems
The input-output relationship of a linear time invariant continuous time system is given by r(t) = d²c(t)/dt² + 3 dc(t)/dt + 2 c(t) Where r(t) and c(t) are input and output respectively. What is the transfer function of the system equal to?

 2/(s² + s + 2)
 2/(s² + 3s + 2)
 1/(s² + s + 2)
 1/(s² + 3s + 2)

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Control Systems
Find the stability for the following transfer function G(s) = 50/s(s+5) ?

 Critically stable
 Stable
 Unstable
 Marginally stable

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Control Systems
Number of sign changes in the entries in 1st column of Routh array denotes the no. of

 roots of characteristic polynomial in RHP.
 zeroes of system in RHP.
 open loop poles in RHP.
 open loop zeroes in RHP.

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Control Systems
Force balancing equation of a mass element is (where, x = displacement)

 M *x
 M dx/dt
 M d2x/dt2
 any of the above

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