Control Systems...

Consider a plant transfer function \(G\left( s \right) = \frac{1}{s}\). The state feedback gain controller K that places the pole of the regulatory control systems at s = -2 is given by

A proportional band of a PI controller is 40% and the reset time is 0.25s. The transfer function of the controller is given by

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       

The transfer function of a position servo system is given as \(G\left( s \right) = \frac{1}{{s\left( {s + 1} \right)}}.\) A first order compensator is designed in a unity feedback configuration so that the poles of the compensated system are placed at -1 ± j1 and -4. The transfer function of the compensated 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