# Error Analysis – Exercise – 1

1. The steady state error due to a ramp input for a type two system is equal to :

(a) zero
(b) infinite
(c) non-zero number
(d) constant

Explanation
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2. The impulse response of a system is

$\dpi{100} 5 e-10t.$

Its step response is equal to :

(a) 0.5e-10t
(b) 5(1 – e-10t)
(c) 0.5(l – e-10t)
(d) 10(1 – e-10t)

Explanation
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3. A unity feedback system has open-loop transfer function G(s). The steady-state error is zero for :

(a) step input and type-1 G( s)
(b) step input and type-0 G(s)
(c) ramp input and type-1 G(s)
(d) ramp input and type-0 G(s)

Explanation
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4. In the type 1 system, the velocity error is :

(a) inversely proportional to bandwidth
(b) directly proportional to error constant
(c) inversely proportional to error constant
(d) independent of error constant