engineering recuitment GATE ECE 2023-24 Test Series Control Systems Controllers and Compensators Maximum Phase Lead/Lag
Consider a plant whose transfer function is \(\frac{2}{{s\left( {s + 4} \right)}}\). It is desired that a lead compensator is used to design a negative feedback closed loop system with this plant.
The lead compensator needs to provide a maximum phase lead of 40° and this maximum phase lead angle should be provided at a frequency of 5 rad/sec.
It is desired that the static velocity error constant of the compensated system to be 10.
Then the transfer function of the lead compensator is1
\({G_c}\left( s \right) = \frac{{93\left( {s + 2.3} \right)}}{{\left( {s + 10.7} \right)}}\)
2
\({G_c}\left( s \right) = \frac{{10\left( {s + 10.7} \right)}}{{\left( {s + 2.3} \right)}}\)
3
\({G_c}\left( s \right) = \frac{{10\left( {s + 2.3} \right)}}{{\left( {s + 10.7} \right)}}\)
4
\({G_c}\left( s \right) = \frac{{93\left( {s + 10.7} \right)}}{{\left( {s + 2.3} \right)}}\)