PYQs Based test 14: Control Systems

For the network shown in the figure below, the frequency (in rad/s) at which the maximum phase lag occurs is, ___________.

The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer function

$G\left(s\right)=\frac{Ks}{\left(s-1\right)\left(s-4\right)}$ is

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

given below.

The transfer function of a system is $\frac{Y\left(s\right)}{R\left(s\right)}=\frac{s}{s+2}$. The steady state output $y\left(t\right)$ is $Acos(2t+\varphi )$ for the input $cos(2t)$. The values of $Aand\varphi$, respectively are

The root locus of a unity feedback system is shown in the figure



The closed loop transfer function of the system is