GATE Questions & Answers of Frequency response

What is the Weightage of Frequency response in GATE Exam?

Total 2 Questions have been asked from Frequency response topic of Control Systems subject in previous GATE papers. Average marks 1.50.

Consider a stable system with transfer function G(s)=sp+b1sp-1+···+bpsq+a1sq-1+···+aq where b1, …, bp and a1, … , aq are real valued constant. The slop of the Bode log magnitude curve of G(s) converges to -60 dB /decade as ω→∞. A possible pair of values for p and q is

The Nyquist plot of the transfer function $ G\left(S\right)=\frac K{\left(s^2+2s+2\right)\left(s+2\right)} $ does not encircle the point $ \left(-1+j0\right) $ for K=10 but does encircle the point $ \left(-1+j0\right) $ for = 100. Then the closed loop system (having unity gain feedback) is