## 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...

Group I gives two possible choices for the impedance Z in the diagram. The
circuit elements in Z satisfy the condition $${R_2}{C_2} > {R_1}{C_{1.}}...

A control system with a PD controller is shown in the figure. If the velocity error constant $${K_v} = 1000$$ and the damping ratio $$\zeta = 0.5,$$...

The open-loop transfer function of a plant is given as $$G(s) = {1 \over {{s^2} - 1}}.$$ If the plant is operated in a unity feedback configuration, ...

A double integrator plant, $$G(s) = {K \over {{s^2}}},H(s) = 1$$ is to be compensated to achieve the damping ratio $$\zeta = 0.5$$ and an undamped ...

A process with open-loop model
$$G(s) = {{K{e^{ - s{\tau _d}}}} \over {\tau s + 1}},$$ is controlled by a PID controller. For this process

The transfer function of a simple RC network functioning as a controller is:
$${G_c}(s) = {{s + {z_1}} \over {s + {p_1}}}$$
The condition for the RC...

## Marks 5

A unity feedback system has the plant transfer function
Gp(s)=$${1 \over {\left( {s + 1} \right)\left( {2s + 1} \right)}}$$
(a) Determine the freque...

For the feedback control system shown in the figure, the process transfer function is
Gp(s) = $${1 \over {s(s + 1)}},$$ and the amplification factor ...

## 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 ...