Q. For an m x n matrix A, the eigen values are the roots of the characteristic equation

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Q. In force current analogy, displacement x is analogous to

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Q. Consider the following statements about variable reluctance stepper motor used in control system

1. The static torque acting on rotor is a function of angular misalignment between stator and rotor teeth
2. There are two positions of zero torque i.e, . Q = 0 and 180°/T where T is the number of rotor teeth
3. Both zero torque positions are stable
4. When stator is excited, rotor is pulled into minimum reluctance position

Of these statements, the correct ones are

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Q. In a two phase servomotor the two stator windings have a phase difference of

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Q. For a stable system having two or more gain crossover frequencies the phase margin is measured at the highest crossover frequency.

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Q. In a two phasor servomotor, the direction of rotation of the rotating field depends on

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Q. Assertion (A): Points in the s plane at which function G(s) is not analytic are called singular, points.

Reason (R): Singular points at which the function G(s) or its derivative approach infinity are called poles.

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Q. If damping ratio is 0.5, the lines joining complex poles with origin are inclined to negative real axis at

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Q. At corner frequency the phase angle of factor 1/(1 + jωT) is - 45°

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Q. The permanent magnet field system of brushless dc servo- motor is generally on

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Q. Assertion (A): The phase angle plot in Bode diagram is not affected by change in system gain.

Reason (R): The variation in gain has no effect on phase margin of the system.

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Q. The phase difference (jω - p1) means

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Q. If poles lie in first quadrant, damping ratio is

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Q. For type 0 system the starting point (i.e. ω = 0) of polar plot is finite and is on positive real axis.

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Q. Which control action can never be used alone?

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Q. If G(s)H(s) = K/s(s+1)(s²+4s+20), the number of branches of root locus are

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Q. N circles for α = α1, and α = α1 ± 180° n (where n = 1, 2, 3, ....) are the same.

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Q. If G(s)H(s) = K (T₁s + 1)/[s² (T₂s + 1)] the system stability depended an relative magnitudes of T₁ and T₂.

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Q. In a simple on-off controller with differential gap, the magnitude of differential gap determines

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Q. Consider the following statements about root locus

1. The root locus is symmetrical about real axis.
2. If a root locus branch moves along the real axis from an open loop pole to zero or to infinity, this root locus branch is called real root branch.
3. The breakaway points of the root locus are the solutions of dK/dS = 0

Which statements out of above are correct?

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