PYQs Based Test - 04 : Control Systems

The loop-gain function L(s) of a control system with unity feedback is given to be $L\left(s\right)=\frac{k}{\left(s+1\right)\left(s+2\right)\left(s+3\right)}$, where k > 0. If the gain cross-over frequency of the loop-gain function is less than its phase cross-over frequency, the closed-loop system is

A closed-loop system is shown in the figure. The system parameter α is not known. The condition for asymptotic stability of the closed loop system is

A system with transfer function $G\left(s\right)=\frac{1}{s^2+1}$ has zero initial conditions. The percentage overshoot in its step response is _________ %.

The step response of a circuit is seen to have an oscillatory behaviour at the output with oscillations dying down after some time. The correct inference(s) regarding the transfer function from input to output is/are

In a control system with unity gain feedback, the transfer function of the loop-gain function is $L\left(s\right)=\frac{9e^{-0.1s}}{s}$. The phase margin of the loop-gain function L(s) is ______ degree.