PYQs Based test 15: Control Systems

Which of the following options is correct for the system shown below?

An open loop transfer function G(s) of a system is

$G\left(s\right)=\frac{K}{s\left(s+1\right)\left(s+2\right)}$

for a unity feedback system, the breakaway point of the root loci on the real axis occurs at.

The transfer function of a phase lead compensator is given by

$D\left(s\right)=\frac{3\left(s+\frac{1}{3T}\right)}{\left(s+\frac{1}{T}\right)}$

The frequency (in rad/sec), at which ∠D(jω) is maximum, is

A bode magnitude plot for the transfer function G(s) of a plant is shown in the figure. Which one of the following transfer functions best describes the plant?

For the signal – flow graph shown in the figure, which one of the following expression is equal to the transfer function

${\begin{array}{c}Y\left(s\right)\\ \overline{X_2\left(s\right)}\end{array}|}_{X_1\left(s\right)=0}?$