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Automatic Control Systems - Section 1 (2)

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  • Automatic Control Systems - Section 1
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Automatic Control Systems - Section 1

9. 

Bode magnitude plot is drawn between

A. magnitude of network function and ω
B. dB magnitude and log ω
C. dB magnitude and ω
D. loge (magnitude) and log ω

Answer: Option B

Explanation:

Frequency is plotted on log scale and magnitude is taken in dB.

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10. 

For the control system in the given figure, the value of K for critical damping is

23-207

A. 1
B. 5.125
C. 6.831
D. 10

Answer: Option B

Explanation:

43-207 since ζ = 1, ωn = 3.5 Hence 2 + 2k = 3.52 = 12.25 or K = 5.125 .

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11. 

For the given figure, 30-299- 

30-299

A. 30-299-1
B. 30-299-2
C. 30-299-3
D. 30-299-4

Answer: Option B

Explanation:

For the inner loop, transfer function = 43-299

Then 43-299-1

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12. 

A negative feedback system has 25-229 The closed loop system is stable for

A. K > 20
B. 15 < K < 19
C. 8 ≤ K ≤ 14
D. K < 6

Answer: Option D

Explanation:

Find characteristic equation.

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13. 

In the given figure x6 =

20-162

A. de(ax1 + bx2 + cx3)
B. (a + b + c) (x1 + x2 + x3) (d + e)
C. (ax1 + bx2 + cx3) (d + e)
D. a b c d e (x1 + x2 + x3)

Answer: Option A

Explanation:

The input x1 is multiplied by a, x2, by b and x3 by c. The sum total is multiplied by d and e.

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14. 

In the given figure the input is x(t) = A sin ωt. The steady state output y(t) =

22-184

A. A sin (ωt + φ) where φ = tan-1 |G(jω)|
B. |G(jω)| A sin [ωt + ∠G(jω)]
C. |G(jω)| A sin [2ωt + ∠G(jω)]
D. A G(jω) sin [ωt + ∠G(jω)]

Answer: Option B

Explanation:

The magnitudes A and G(jω) are multiplied and phase angles are added.

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15. 

In Bode diagram (log magnitude plot) the factor 18-110 in the transfer function gives a line having slope

A. -20 dB per octave
B. -10 dB per octave
C. -6 dB per octave
D. -2 dB per octave

Answer: Option C

Explanation:

For 18-110 term the slope is -20 dB/decade or -6 dB/octave because - 20 log 2 = -6 dB.

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16. 

In an integral controller

A. the output is proportional to input
B. the rate of change of output is proportional to input
C. the output is proportional to rate of change of input
D. none of the above

Answer: Option B

Explanation:

Output is proportional to integral of input or rate of change of output is proportional to input.

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