Question

The transfer function of a zero-order hold system is

• A. \(\dfrac{1-e^{-sT}}{s}\)
• B. \(\dfrac{1+e^{-sT}}{s}\)
• C. \(1+\dfrac{e^{-sT}}{s}\)
• D. \(1-\dfrac{e^{-sT}}{s}\)

Hint:

The Zero-Order Hold (ZOH) transfer function is \[ \boxed{ G_h(s)=\frac{1-e^{-sT}}{s} } \] where \(T\) is the sampling interval.

Answer 1

The Correct Option is A

Step 1: Recall the transfer function of a Zero-Order Hold (ZOH). A zero-order hold maintains the sampled input constant over one sampling interval. Its transfer function is \[ G_h(s)=\frac{1-e^{-sT}}{s}, \] where \(T\) is the sampling period.

Step 2: Choose the correct option. Hence, \[ \boxed{\frac{1-e^{-sT}}{s}} \] is the correct transfer function. Therefore, \[ \boxed{(A)} \] is the correct answer.