List of top Chemical, Thermal and Polymer Engineering Questions on Control Systems

The unit step response of the transfer function \( G(s) = \frac{1}{s^2 + 2s + 3} \) has:
A first-order system with unity gain and time constant \( \tau \) is subjected to sinusoidal input having a frequency \( \omega \) of \( \frac{1}{\tau} \). The amplitude ratio for such system is:
A step change of magnitude is introduced to a system having the transfer function \[ G(s) = \frac{2}{s^2 + 2s + 4} \] The percent overshoot is:
The Bode diagram stability criterion is applicable when:
The characteristic equation for the system is \[ s^3 + 9s^2 + 26s + 12(2 + K_c) = 0 \] Using Routh test, the value of Kc that will keep the system stable is:
The transfer function of a PID controller is:
Bode diagram is a plot of (AR is amplitude ratio; $\omega$ is frequency factor and $\phi$ is phase angle):

The Block diagram for a control system is shown below: