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Control Systems

Control Systems
The transfer function for tachometer E(S)/θ(S) is

 KS
 KS2
 K/S
 K

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Control Systems
The characteristic equation of a feedback control system is given by s³ + 5s² + (k + 6)s + k = 0. In the root loci diagram, the asymptotes of the root loci for large 'k' meet at a point in the s-plane whose coordinates are

 (1,0)
 (2,0)
 (-2,0)
 (-1,0)

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Control Systems
Electrical analogous quantity for spring element (K) in force-voltage analogy is

 L
 C
 R
 1/C

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Control Systems
Angle condition for complimentary root locus or inverse root locus is

 ± (2q + 1) 180°
 ± (2q + 1) 360°
 ± (2q) 180°
 ± (2q) 360°

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Control Systems
The magnitude of a transfer function G(jω)H(jω) at gain cross over frequency is

 infinity
 0
 1
 any of the above

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

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