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Control Systems

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

 B *x
 B dx/dt
 B d2x/dt2
None of these

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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?

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

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Control Systems
Find the bandwidth of the system, when rise time of the system is give as 1msec?

 500 Hz
 1 kHz
 750 Hz
 350 Hz

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Control Systems
Which of the following transfer functions represent under damped second order systems?

 2/(s² + 2s + 2)
 4/(s² + 2s + 4)
 1/(s² + s + 1)
All of these

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

 -2,2
 -2,-2
 -2±j4
 -2,-4

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Control Systems
The impulse response of a system is c(t) = -te-t + 2 e-t (t>0). Its open loop transfer function is

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

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