The simplest method of frequency compensation consists of introducing a new pole in the
function A(s) at a sufficiently low frequency, fD, such that the modified open-loop gain,
intersects the 20 log curve with a slope difference of 20 dB/decade. As an
example, let it be required to compensate the amplifier whose A(s) is shown in Fig. 10.44
such that closed-loop amplifiers with β as high as 10−2 (i.e., closed-loop gains as low as
approximately 40 dB) will be stable. First, we draw a horizontal straight line at the 40-dB
level to represent 20 log(1/β ), as shown in Fig. 10.44. We then locate point Y on this line at
the frequency of the first pole, fP1. From Y we draw a line with −20-dB/decade slope and
determine the point at which this line intersects the dc gain line, point This latter point
gives the frequency fD of the new pole that has to be introduced in the open-loop transfer
function.