GATE EC Control Systems questions

Practise Control Systems questions for GATE EC. Explore official PYQs and original subject-wise quizzes, check answers and view available solutions. Free, no sign-in.

Identify the feedback structure before forming the transfer function. Check the characteristic equation and stability conditions before calculating steady-state behaviour.

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SubjectTopicYearType

The transfer function of a linear system is the

For a second order system, damping ratio,

(\xi)

0<\xi<1

, then the roots of the characteristic polynomial are

The final value theorem is used to find the

The step error coefficient of a system

\mathrm{G}(\mathrm{s})=\frac{1}{(s+6)(s+1)}

with unity feedback is

Signal flow graph is used to find

L[f(t)]=\frac{2(s+1)}{s^{2}+2 s+5}

then

f(0+)

and

f(\infty)

are given by [Note : 'L' stands for 'Laplace Transform of']

If the open-loop transfer function is a ratio of a numerator polynomial of degree '

m

' and a denominator polynomial of degree '

n

', then the integer

(n-m)

represents the number of

The

3-d \mathrm{B}

bandwidth of a typical second-order system with the transfer function

\frac{\mathrm{C}(s)}{\mathrm{R}(s)}=\frac{w_{n}^{2}}{s^{2} \mathrm{t}+2 x w_{n} s+w_{n}^{2}}

is given by

s^{3}+3 s^{2}+4 s+A=0

, then all the roots of this equation are in the left half plane provided that

\tau \mathrm{F}(\mathrm{s})=[f(t)]=\frac{\mathrm{K}}{(\mathrm{s}+1)\left(\mathrm{s}^{2}+4\right)}

then

\lim _{t \rightarrow \infty} f(t)

is given by

A process with open-loop model

G(s)=\frac{k e^{-s \mathrm{~T}_{4}}}{t s+1}

is controlled by a

\text{PID}

controller. For this process

A linear time-invariant system is described by the state variable model …