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The damping ratio and undamped natural frequency of a closed loop system as shown in the figure, are denoted as $$\xi$$ ...
GATE EE 2022
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)$$is modified b... GATE EE 1998 Introduction of integral action in the forward path of a unity feedback system result in a GATE EE 1997 For a feedback control system of type$$2,$$the steady state error for a ramp input is GATE EE 1996 Consider the unit step response of a unity feedback control system whose open loop transfer function is$$G\left( s \rig...
GATE EE 1996
The unit - impulse response of a unity - feedback control system is given by $$c\left( t \right) = - t{e^{ - t}} + 2\,\... GATE EE 1996 The closed loop transfer function of a control system is given by$${{C\left( s \right)} \over {R\left( s \right)}}\, = ...
GATE EE 1995
The steady state error due to a step input for type $$1$$ system is ______________.
GATE EE 1995
The Laplace transformation of $$f(t)$$ is $$F(s).$$ Given $$F\left( s \right) = {\omega \over {{s^2} + {\omega ^2}}},$$...
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
The response $$h(t)$$ of a linear time invariant system to an impulse $$\delta \left( t \right),$$ under initially relax...
GATE EE 2011
A two-loop position control system is shown below. The gain $$k$$ of the Tacho-generator influences mainly the...
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,$$then it w... GATE EE 2007 When subjected to a unit step input, the closed loop control system shown in the figure will have a steady state error ... GATE EE 2005 When subjected to a unit step input, the closed loop control system shown in the figure will have a steady state error o... GATE EE 2005 The block diagram of a closed loop control system is given by figure. The values of$$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 $${{{d^2}x} \over {d{t^2}}}... GATE EE 2003 The roots of the closed loop characteristic equation of the system shown in fig is ... GATE EE 2003 The block diagram shown in fig given is a unity feedback closed loop control system. The steady state error in the resp... GATE EE 2003 A unity feedback system has open-loop transfer function$$G\left( s \right) = {{25} \over {s\left( {s + 6} \right)}}.$$... GATE EE 2000 For the system shown in Figure, with a damping ratio$$\xi $$of$$0.7$$and an undamped natural frequency$${\omega _n}...
GATE EE 1996
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
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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