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CONTROL SYSTEMS

Control Systems
A transfer function has a zero at s = -1 and poles at s = -1 ± j1. The multiplier being unity, if the input is step function, the steady state response is given by

 1∠0°
 0.5∠0°
 2∠90°
 0.5∠10°

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Control Systems
The transfer function of the system described by d²/dt²(y(t)) + 3d/dt(y(t)) + 2y(t) = 5u(t) with u(t) as input and y(t) as output is

 s(s²+3s+2)/5
 5/(s²+3s+2)
 5/s(s²+3s+2)
 (s²+3s+2)/5

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Control Systems
Transfer function of a control system depends on

 initial conditions of input and output.
 system parameters alone.
 nature of output.
 nature of input.

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Control Systems
The poles of the second order system are at -3 ± j4. The damping ratio of the system is

 3/5
 4/5
 3/4
 3/7

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Control Systems
The characteristic equation has the following roots for over damped stable system?

 -2,2
 -2±j4
 -2,-4
 -2,-2

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