Question

The transfer functons of two compensators are given below:
$C_1=\frac{10(s+1)}{(s+!0)},C_2=\frac{s+10}{10(s+1)}$
Which one of the following statements is correct?

• A. $C_1$ is lead compensator and $C_2$ is a lag compensator.
• B. $C_1$ is lag compensator and $C_2$ is a lead compensator.
• C. Both $C_1$ and $C_2$ are lead conpensator
• D. Both $C_1$ and $C_2$ are lag conpensator

Answer 1

The correct option is A $C_1$ is lead compensator and $C_2$ is a lag compensator.

$C_1=\frac{10(s+1)}{(s+!0)}$
Zero at $s=-1$
Pole at $s=-10$

As zero is closer origin, zero dominates pole. Hence $C_1$ is lead compensator
$C_2=\frac{s+10}{10(s+1)}$
Zero at $s=-10$
Pole at $s=-1$



As pole is closed to origin pole dominates zero. Hence $C_2$ is lag compensator.