A phase-lead compensator has the transfer function _____

A phase-lead compensator has the transfer function ______ rad/sec
G_C(s) = 10(1 + 0.4s)
(1 + 0.01s)

The maximum phase angle lead provided by this compensator will occur at a frequency ω_m is equal to

G(s) =	10(1 + 0.04s)	=	10(1 + aTs)
	(1 + 0.01 s)		(1 + Ts)

Taking T = 0.01, “a” is seen to be equal to 4.
The maximum phase lead occurs at the frequency,

ω_n =	1	=	1	= 50 rad / sec
	√a T		√4 × 0.01

G_C(s) =	10(1 + 0.4s)
	(1 + 0.01s)