Second Order System

Consider the standard second-order system of the form $\frac{\omega_n^2}{s^2+2\zeta\omega_n s+\omega_n^2}$ with the poles $p$ and $p^*$ having negative real parts. The pole locatio...

Match the transfer functions of the second-order systems with the nature of the systems given below. Transfer functions P: 15 / (s² + 5s + 15) Q: 25 / (s² + 10s + 25) R: 35 / (s² +...

The transfer function of a system is given as $${{100} \over {{s^2} + 20s + 100}}.$$ The system is

The unit impulse response of a second order under-damped system starting from rest is given by $$c\left( t \right) = 12.5{e^{ - 6t}}\,\sin 8t,\,\,t \ge 0.$$ The steady-state value...

A control system with certain excitation is governed by the following mathematical equation $$${{{d^2}x} \over {d{t^2}}} + {1 \over 2}{{dx} \over {dt}} + {1 \over {18}}x = 10 + 5{e...

A unity feedback system has open-loop transfer function $$G\left( s \right) = {{25} \over {s\left( {s + 6} \right)}}.$$ The peak overshoot in the step-input response of the system...

Consider the unit step response of a unity feedback control system whose open loop transfer function is $$G\left( s \right) = {1 \over {s\left( {s + 1} \right)}}.$$ The maximum ove...