An open loop transfer function is given by G(s) = K (s + 1) / (s + 4)(s^2 + 3s + 2). It has:

Electronics and Communication Engineering (ECE) : Automatic Control Systems - Quiz(MCQ)

One zero at infinity

Two zeroes at infinity

Three zeroes at infinity

None of the above

Correct Answer : Option (B) : Two zeroes at infinity

Explanation : The formula to calculate a number of zeroes at infinity is P - Z. Here, P and Z are the number of poles and zeroes in a given transfer function.

We know that poles are calculated by equating the denominator to zero, and zeroes are calculated by equating the numerator to zero. So, for the above given transfer function, we get:

P = 3

Z = 1

So, the number of zeroes at infinity = 3 - 1 = 2

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For a quadratic factor in denominator of transfer function the phase angle at corner frequency (in Bode phase angle plot)

is +90Â°

is -90Â°

depends on the damping factor

None of the above

Correct Answer : is -90Â°