Automatic Control Systems - ECE Questions and Answers

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For the system in the given figure, the characteristic equation is

s² + s(3 + 6a) + 6 = 0

s² + s(3 + 12a) + 12 = 0

s² + 3s = 0

s² + 6s = 0

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In control systems the magnitude of error voltage

is very small

is very large

neither small nor large

may be any value from 0 to 50 V

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The slope of log-magnitude asymptote changes by - 40 dB/ decade at a frequency ω₁. This means that

a double pole is present

a pair of complex conjugate poles is present

either a double pole or a pair of complex conjugate poles is present

a pole or zero at origin is present

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In the given figure the transfer function

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The transfer function can be for

lead compensator

lag compensator

lead-lag compensator

either (a) or (b)

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The system of the given figure

has two poles and one zero in left half plane

has two poles and one zero in right half plane

has two poles in left half plane and zero in right half plane

none of the above

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For the given figure C(s)/R(s)

none of the above

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If phase angle of open loop transfer function becomes - 180° at frequency ω₁, then gain margin is equal to

|G(jω₁)|

1 + |G(jω₁)|

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A system with transfer function

may be approximated by the system