# 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 $G\left(s\right)=\frac{{s}^{p}+{b}_{1}{s}^{p-1}+···+{b}_{p}}{{s}^{q}+{a}_{1}{s}^{q-1}+···+{a}_{q}}$ 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