GATE ECE
Control Systems
Compensators
Previous Years Questions

## Marks 1

Which of the following statement is incorrect?
Which of the following can be the pole-zero configuration of a phase-lag controller (lag compensator)?
The transfer function of a first-order controller is given as $${G_c}(s) = {{K\left( {s + a} \right)} \over {s + b}}$$ where k, a and b are positiv...
The magnitude plot of a rational transfer function G(s), with real coefficient is shown in figure. Which of the following compensators has such a magn...
The pole-zero plot given below corresponds to a ...
The transfer function of a phase-lead compensator is given by $${G_c}(s) = {{1 + 3Ts} \over {1 + Ts}}$$ where T > 0. The maximum phase-shift provi...
A PD controller is used to compensate a system. Compared to the uncompensated system, the compensated system has
The transfer function of a phase lead controller is $${\textstyle{{1 + 3Ts} \over {1 + Ts}}}.$$ The maximum value of phase provided by this controlle...

## Marks 2

The position control of a DC servo-motor is given in the figure. The values of the parameters are Kt=1 N-m/A, Ra=$$1\Omega ,$$ La=0.1H, J=5kg-m2, B=1 ...
A lead compensator network includes a parallel combination of 'R' and 'C' in the feed-forward path. If the transfer function of the compensator is $${... The transfer function of a compensator is given as$${G_C}(s) = {{s + a} \over {s + b}}.$$The phase of the above lead compensator is maximum at... The transfer function of a compensator is given as$${G_C}(s) = {{s + a} \over {s + b}}.{G_C}(s)$$is a lead compensator if A unity negative feedback closed loop system has a plant with the transfer function$$G(s) = {1 \over {{s^2} + 2s + 2}}$$and a controller$${G_c}(s...

## Marks 8

A system with derivative control is shown in figure. (a)Determine the transfer function and the characteristic equation of the system. (b)Given that ...
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