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A unity feedback system has

What is the value of K if the steady-state value of error is to be less than 0⋅1, when an input r(t) = 1 + 5t is applied?

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  1. K = 5
  2. 6 < K < 10
  3. 11 < K < 40
  4. K > 50

Answer (Detailed Solution Below)

Option 4 : K > 50
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Detailed Solution

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Given,

 

Steady state error ess is less than 0.1

Given ramp input r(t) = 1 + 5t

Velocity constant is calculated for ramp input

Slope of ramp input, 

Steady state error, 

ess < 0.1

K > 50 

If the steady gate error is less than 0.1 then value of K is

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