The transfer function of a system is 1/1 + sT. The input

The transfer function of a system is 1/1 + sT. The input to this system is u(t). The output would track this system but the error would be—

Given

T.F. =	G(s)	=	1
	1 + G(s)H(s)		1 + sT

and
H(s) = 1
1 + G(s)H(s) = (1 + sT)G(s)
or
1 + G(s) = (1 + sT)G(s)
or
1 + G(s) = G(s) + sT G(s)
or
G(s) = 1/sT
Now,
e_ss = _{s → 0}Lim sE(s)

= _{s → 0}Lim s·	R(s)
	1 + G(s)H(s)

= _{s → 0}Lim s·	1(1/s)
	1 + (1/sT)

[∴ H(s) = 1, and if r(t) = u(t) then R(s) = 1/s]

= _{s → 0}Lim	sT
	1 + sT

= 0