PYQs Based Test - 06 : Control Systems

The asymptotic Bode magnitude plot of a minimum phase transfer function G(s) is shown below.



Consider the following two statements.

Statement I: Transfer function G(s) has three poles and one zero.

Statement II: At very high frequency (ω→∞), the phase angle $\angle G\left(j\omega \right)=-\frac{3\pi }{2}$.

Which one of the following options is correct?

The bode magnitude plot for the transfer function $\frac{V_0(s)}{V_i(s)}$ of the circuit is as shown. The value of R is ______ Ω. (Round off to 2 decimal places.)

A phase lead network has the transfer function $G\left(s\right)=\frac{1+0.2s}{1+0.05s}$. The angular frequency at which the maximum phase shift for the network occurs is

Match the transfer functions of the second-order systems with the nature of the systems

given below.

Taking N as positive for clockwise encirclement, otherwise negative, the number of encirclements N of (−1, 0) in the Nyquist plot of G(s) = 3/(s -1) is