Traditionally, servo engineers hale designed discrete-time lead compensator
s by first designing a lead compensator in the w-domain, and then converted
to the z-domain by using a bilinear transformation with frequency prewarpi
ng. This technical note presents two new. simple formulas for determining t
he zero and the pole of a discrete-time lend compensator directly in the z-
domain from the desired maximum phase lend and the desired frequency at whi
ch that phase lead should occur.