engineering recuitment PGCIL Diploma Trainee Mock Test 2024 Control Systems Basics of Control Systems
If the input and output of a system is related by the following differential equation, then find its transfer function.
\(\frac{{{d^2}y\left( t \right)}}{{dt}} + 3\frac{{dy\left( t \right)}}{{dt}} + 2y\left( t \right) = u\left( t \right) + \frac{{du\left( t \right)}}{{dt}}\)
1
\( TF = \frac{s+1}{{{s^2} + 3s + 2}}\)
2
\( TF = \frac{1}{{{s^2} + 3s + 2}}\)
3
\( TF = \frac{s+2}{{{s^2} + 3s + 2}}\)
4
\( TF = \frac{s-1}{{{s^2} + 3s + 2}}\)