Q. The damping ratio of a pair of complex poles when expressed in terms of angle θ measured from jω axis equal to

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Q. The slope of log magnitude curve changes by - 40 dB/decade at a certain frequency and the error between asymptote and actual curve is positive. This means that

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Q. A system has high gain and phase margin. The system is

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Q. A proportional controller is basically

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Q. Nyquist stability criterion is based on a theorem from the theory of complex variables.

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Q. For the function G(s) H(s) = 1/s(s+1)(s+0.5) the phase cross-over frequency is

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Q. While forming Routh's array, the situation of a row of zeros indicates that the system

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Q. Assertion (A): In liquid system the ratio of change in liquid level to change in flow rate is called resistance of liquid flow.

Reason (R): In liquid level systems the ratio of change in liquid stored in a tank to the change in head is called capacitance of tank.

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Q. Assertion (A): When the performance of a stable second order system is improved by a PID controller, the system may become unstable.

Reason (R): PID controller increases the order of the system to 3.

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Q. The root locus branches

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Q. In force voltage analogy, displacement is analogous to

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Q. M circles are symmetrical with respect to real axis.

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Q. For the system with T(s) = 4/(s²+2s+4), the maximum resonance peak is

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Q. The polar plot of transport lag is a unit circle.

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Q. For the transport lag G(jω) = e^(-jωT), the polar plot is

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Q. Consider the following statements:

1. The positiveness of coefficients of characteristic equation is necessary as well as sufficient condition for stability of first and second order systems.
2. The positiveness of coefficients of characteristic equation ensures negativeness of real roots but is not sufficient condition for stability of third and higher order systems.

Out of above statements:

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Q. The frequency at which phase angle is 180° is called

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Q. In a mechanical accelerometer, the steady state displacement is a measure of

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Q. A unity feedback system has G(s) = 10/s(s+1)(s+2). If input r(t) = 1 + 2t + 3/2t³, the steady error is

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Q. Assertion (A): The root locus of a control system is symmetrical about real axis.

Reason (R): For all polynomials with real coefficients, complex poles always occur in conjugate pairs.

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