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The steady-state error for the type 0 unity feedback stable control system for unit step signal is equal to

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UPPCL AE Electrical 2 April 2022 Official Paper (Shift 1)
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  1. 1KP
  2. infinite
  3. 11+KP
  4. 0

Answer (Detailed Solution Below)

Option 3 : 11+KP
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Detailed Solution

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Steady-state error:

The steady-state error for a unity feedback stable control system is given by:

Input signal Error constant (Ess) for Type 0 (Ess) for Type 0 (Ess) for Type 2
Unit step kρ=Lts→0⁡G(s) 11+kρ 0 0
Unit ramp kν=Lts→0⁡sG(s) ∞ 1kν 0
Unit parabola kα=Lts→0⁡s2G(s) ∞ ∞ 1kα

Additional Information

  •  If the type of the system is greater than the order of the input signal, then the steady-state error is zero.
  •  If the type of the system is smaller than the order of the input signal, then the steady-state error is ∞ .
  •  If the type of the system is equal to the order of the input signal, then the steady-state error has some finite value.
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