GATE EE

Time Response Analysis

Control Systems

(Past Years Questions)

Marks 1

More
When a unit ramp input is applied to the unity feedback system having closed loop transfer function $${{C\left( s \right...
GATE EE 2017 Set 2
The closed-loop transfer function of a system is $$T\left( s \right) = {4 \over {\left( {{s^2} + 0.4s + 4} \right)}}.$$ ...
GATE EE 2014 Set 2
The steady state error of a unity feedback linear system for a unit step input is $$0.1.$$ The steady state error of the...
GATE EE 2011
For the system $${2 \over {\left( {s + 1} \right)}},$$ the approximate time taken for a step response to reach $$98$$% o...
GATE EE 2010
A function $$y(t)$$ satisfies the following differential equation : $${{dy\left( t \right)} \over {dt}} + y\left( t \rig...
GATE EE 2008
Consider the function $$F\left( s \right) = {5 \over {s\left( {{s^2} + 3s + 2} \right)}}$$ Where $$F(s)$$ is the Laplace...
GATE EE 2004
Consider the function $$F\left( s \right) = {5 \over {s\left( {{s^2} + 3s + 2} \right)}}$$ Where $$F(s)$$ is the Laplace...
GATE EE 2004
Consider the function $$F\left( s \right) = {5 \over {s\left( {{s^2} + 3s + 2} \right)}}$$ Where $$F(s)$$ is the Laplace...
GATE EE 2004
A control system is defined by the following mathematical relationship $$${{{d^2}x} \over {d{t^2}}} + 6{{dx} \over {dt}...
GATE EE 2003
A unity feedback system has open loop transfer function $$G(s).$$ The steady-state error is zero for
GATE EE 2000
The output of a linear time invariant control system is $$c(t)$$ for a certain input $$r(t).$$ If $$r(t)$$ is modified b...
GATE EE 1998
Introduction of integral action in the forward path of a unity feedback system result in a
GATE EE 1997
The unit - impulse response of a unity - feedback control system is given by $$c\left( t \right) = - t{e^{ - t}} + 2\,\...
GATE EE 1996
Consider the unit step response of a unity feedback control system whose open loop transfer function is $$G\left( s \rig...
GATE EE 1996
For a feedback control system of type $$2,$$ the steady state error for a ramp input is
GATE EE 1996
The Laplace transformation of $$f(t)$$ is $$F(s).$$ Given $$F\left( s \right) = {\omega \over {{s^2} + {\omega ^2}}},$$...
GATE EE 1995
The steady state error due to a step input for type $$1$$ system is ______________.
GATE EE 1995
The closed loop transfer function of a control system is given by $${{C\left( s \right)} \over {R\left( s \right)}}\, = ...
GATE EE 1995
For what values of $$'a'$$ does the system shown in figure have a zero steady state error $$\left[ {i.e.,\mathop {Lim}\l...
GATE EE 1992

Marks 2

More
The unit step response of a system with the transfer function $$G\left( s \right) = {{1 - 2s} \over {1 + s}}$$ is given ...
GATE EE 2015 Set 2
The open-loop transfer function of a $$dc$$ motor is given as $${{\omega \left( s \right)} \over {{V_a}\left( s \right)}...
GATE EE 2013
A two-loop position control system is shown below. The gain $$k$$ of the Tacho-generator influences mainly the...
GATE EE 2011
The response $$h(t)$$ of a linear time invariant system to an impulse $$\delta \left( t \right),$$ under initially relax...
GATE EE 2011
The unit - step response of a unity feedback system with open loop transfer function $$G\left( s \right) = {K \over {\le...
GATE EE 2009
The transfer function of a linear time invariant system is given as $$G\left( s \right) = {1 \over {{s^2} + 3s + 2}}$$ ...
GATE EE 2008
The transfer function of a system is given as $${{100} \over {{s^2} + 20s + 100}}.$$ The system is
GATE EE 2008
Consider the feedback system shown below which is subjected to a unit step input. The system is stable and has following...
GATE EE 2007
$$R-L-C$$ circuit shown in figure For a step input $${e_{i,}}$$ the overshoot in the output $${e_{0,}}$$ will be ...
GATE EE 2007
$$R-L-C$$ circuit shown in figure If the above step response is to be observed on a non - storage $$CRO,$$ then it w...
GATE EE 2007
When subjected to a unit step input, the closed loop control system shown in the figure will have a steady state error o...
GATE EE 2005
When subjected to a unit step input, the closed loop control system shown in the figure will have a steady state error ...
GATE EE 2005
The block diagram of a closed loop control system is given by figure. The values of $$K$$ and $$P$$ such that the system...
GATE EE 2004
The unit impulse response of a second order under-damped system starting from rest is given by $$c\left( t \right) = 12....
GATE EE 2004
A control system with certain excitation is governed by the following mathematical equation $$${{{d^2}x} \over {d{t^2}}}...
GATE EE 2003
The block diagram shown in fig given is a unity feedback closed loop control system. The steady state error in the resp...
GATE EE 2003
The roots of the closed loop characteristic equation of the system shown in fig is ...
GATE EE 2003
A unity feedback system has open-loop transfer function $$G\left( s \right) = {{25} \over {s\left( {s + 6} \right)}}.$$ ...
GATE EE 2000
The unit impulse response of a system is given as $$c\left( t \right) = - 4{e^{ - t}} + 6{e^{ - 2t}}.\,\,\,$$ The step ...
GATE EE 1996
For the system shown in Figure, with a damping ratio $$\xi $$ of $$0.7$$ and an undamped natural frequency $${\omega _n}...
GATE EE 1996
A first order system and its response to a unit step input are shown in Fig. below. The system parameters are $$a=$$ _...
GATE EE 1991

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