# 2nd Order System Example 2

## Problem

System model block diagram:

Determine power amplifer gain, *A*, which results in fastest response
with no overshoot.

## Solution

From block diagram, transfer function is:

(see here for techniques to convert
this type of feedback block diagram to transfer function)

Then, we know:

Fastest response with no overshoot is achieved when *ζ* = 1 so,