Control Systems...

The open-loop transfer function of a plant is given by \(G\left( s \right) = \frac{1}{{{s^2} + s - 6}}\) . If the plant feedback is negative then the compensator that can stabilize this control system is

The given uncompensated system \(\frac{{900}}{{s\left( {s + 1} \right)\left( {s + 9} \right)}}\) is to be such that its gain crossover frequency becomes same as its uncompensated phase crossover frequency and provides a 45° phase margin. To achieve this, one may use

Consider the transfer function of a lag compensator given below.

\({G_C}\left( s \right) = \frac{{1 + \alpha sT}}{{1 + sT}}\;;\alpha < 1\)

What is the frequency for which the system phase angle will be maximum?

If we have a control system which is actually unstable or has too low gain or phase-margins, then for a more satisfactory performance of the system, we should resort to which of the following?

i. Reduce the gain of the amplifier

ii. Incorporate the phase advance circuit in the system

iii. Use integral error compensation in the system