The transfer function of a system is 10/1 + s. When operated

The transfer function of a system is 10/1 + s. When operated as a unity feedback system, the steady state error to a unit step input will be—

T.F. =	C(s)	=	10	and H(s) = 1
	R(s)		1 + s

G(s)	=	10
1 + G(s)H(s)	=	1 + s

G(s)	=	10
1 + G(s).1	=	1 + s

G(s) + SG(s) = 10 + 10 G(s)
G (s) [1 + s – 10] = 10

G(s) =	10
	s - 9

Also, we know that,

E(s)	=	1
R(s)	=	1 + G(s) H(s)

E(s) =	R(s)	{1/s for unit step or}
	1 + G(s) H(s)

E(s) =	1/s
	1 + 10/s - 9.1

E(s) =	(s - 9)
	(s + 1).s

Now,

e_ss = _{s → 0}Lim sE(s) = _{s → 0}Lim	s·(s – 9)	=	– 9	= -9
	(s + 1).s		1