GATE EE
Control Systems
Basics of Control System
Previous Years Questions

## Marks 1

An open loop control system results in a response of $${e^{ - 2t}}\left( {\sin 5t + \cos 5t} \right)$$ for a unit impulse input. The DC gain of the co...
The transfer function $${{{V_2}\left( s \right)} \over {{V_1}\left( s \right)}}$$ of the circuit shown below is ...
Errors associated with each respective subsystem $$\,{G_1},\,{G_2}$$ and $${G_3}$$ are $${\varepsilon _1},\,\,{\varepsilon _2}$$ and $${\varepsilon _3... For a tachometer if$$\theta \left( t \right)$$is the rotor displacement is radians,$$e\left( t \right)$$is the output voltage and$${K_t}$$is the... Feedback control systems are A linear time-invariant system initially at rest, when subjected to a unit-step input, gives a response$$y\left( t \right) = t{e^{ - t}},\,\,t > 0...
The impulse response of an initially relaxed linear system is $${e^{ - 2t}}u\left( t \right).$$ To produce a response of $${te^{ - 2t}}u\left( t \righ... ## Marks 2 For a system having transfer function$$G\left( s \right) = {{ - s + 1} \over {s + 1}},$$a unit step input is applied at time$$t=0.$$The value of t... Let a causal$$LTI$$system be characterized by the following differential equation, with initial rest condition$${{{d^2}y} \over {d{t^2}}} + 7{{dy} ...
The transfer function of the system described by $${{{d^2}y} \over {d{t^2}}} + {{dy} \over {dt}} = {{du} \over {dt}} + 2u$$ with $$u$$ as input and ...
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