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A unity feedback system is characterized by the open-loop transfer function

The steady-state errors for unit-step and unit-ramp inputs are :

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  1. 1, 1 
  2. 0, 0
  3. 0, 1
  4. 1, ∞

Answer (Detailed Solution Below)

Option 1 : 1, 1 
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Detailed Solution

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Concept:

For a unity feedback system with open-loop transfer function , the steady-state error depends on the input type and the system type.

The system type is determined by the number of integrators (poles at origin) in the open-loop transfer function.

The steady-state error is given by:

  • For unit-step input: , where
  • For unit-ramp input: , where

Given:

This system has one pole at origin → Type 1 system

Calculation:

Step input:

Ramp input:

Correct Answer: 1) 1, 1

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