A system has its two poles on the negative real axis and one pair of poles lies

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Question
A system has its two poles on the negative real axis and one pair of poles lies on j? axis. The system is
Options
A. stable
B. unstable
C. limitedly stable
D. either (a) or (c)

Correct Answer

limitedly stable

Explanation

Poles on j x-axis lead to oscillations.

Automatic Control Systems problems

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1. For the system of the given figure, the damping ratio of closed loop poles is
Options
A. 1.5
B. 1
C. 0.5
D. 0.25

2. In a two phase ac servomotor rotor resistance is R and rotor reactance is X. The speed curve will be linear if
Options
A.
B.
C.
D. X² = R

4. For the system in the given figure. The transfer function C(s)/R(s) is
Options
A. G₁ + G₂ + 1
B. G₁ G₂ + 1
C. G₁ G₂ + G₂ + 1
D. G₁ G₂ + G₁ + 1

5. Assertion (A): The steady state response, of a stable, linear, time invariant system, to sinusoidal input depends on initial conditions.
Reason (R): Frequency response, in steady state, is obtained by replacing s in the transfer function by j?
Options
A. Both A and R are correct and R is correct explanation of A
B. Both A and R are correct but R is not correct explanation of A
C. A is correct but R is wrong
D. R is correct but A is wrong

6. For type 2 system, the magnitude and phase angle of the term (j?)² in the denominator, at ? = 0, are respectively
Options
A. 0 and - 90�
B. 0 and + 90�
C. infinity and - 180�
D. infinity and + 180�

7. Bellows converts
Options
A. pressure difference into displacement
B. pressure difference into voltage
C. displacement into pressure difference
D. either (a) or (c)

8. In the given figure shows pole-zero plot. If steady state gain is 2 the transfer function G(s) is
Options
A.
B.
C.
D.

9. In the given figure the input frequency is such that R << X_c, then
Options
A. v₀ lags v_i by 90�
B. v₀ leads v_i by 90�
C. v₀ and v_i are in phase
D. either (b) or (c)

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