GATE 2022 : Control System Quiz 8

With regard to the filtering property, the lead compensator and the lag compensator are respectively;

The transfer function of a phase lead compensator is given by

The frequency (in rad/sec), at which ∠D (jω) is maximum, is

For the phase lag network shown below, what will be the Value of R₁ in kΩ for the transfer function

The transfer function of a position servo system is given as . A first order compensator is designed in a unity feedback configuration. So that the poles of the compensated system are placed t (–1 ± j1) and –4. The transfer function of the compensated system is

Consider the following statements regarding compensators used in control systems:

1) For type – 2 or higher systems, lag compensator is universally used to overcome the undesirable oscillatory transient response.

2) Ibn case of lag – led compensator, a lag and a lead compensator are basically connected in parallel.

3) The s–plane representation of the lead compensator has a zero closer to the origin than the pole.

4) A lag compensator improves the steady state behaviour of a system while nearly maintaining its transient response.

A control system with PD controller is shown in the figure. If velocity error constant K_v = 500 and %M_P of the system is 5 %. Find the value of Kp and K.