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The steady-state error due to unit step input to a type-1 system is:

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  1. 1/ (1 + kp)
  2. Zero
  3. 1/ Kp
  4. Infinity

Answer (Detailed Solution Below)

Option 2 : Zero
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Detailed Solution

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Concept:

KP = position error constant = 

Kv = velocity error constant = 

Ka = acceleration error constant = 

Steady-state error for different inputs is given by

Input

Type -0

Type - 1

Type -2

Unit step

0

0

Unit ramp

∞

0

Unit parabolic

∞

∞

 

From the above table, it is clear that for type – 1 system, a system shows zero steady-state error for step-input.

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