Question

Consider a unity feedback control system whose forward path transfer function is \( G(s) = \frac{K}{s^2} \). The steady state error for a step input is:

• A. 1.0
• B. infinity
• C. 0.0
• D. does not exist

Hint:

Type-2 systems have zero steady-state error for step and ramp inputs.

Answer 1

The Correct Option is C

The system is Type-2 (two poles at origin), so for a step input, the steady state error is zero. According to standard error constants:
- For step input, error \( e_{ss} = 0 \) if system is Type-2.