What Does 'Zero Order Hold' and 'First Order Hold' Mean?

Zero Order means the function is constant, we interpolate the same value in the missing parts. First order means we can use linear function to interpolate (Line with a slope). Hold means we hold the parameters to be the same until the next sample.

1. What does zero-order hold do?
2. What is the difference between ZOH and FOH?
3. What is first order hold in control system?
4. How do you find the zero-order hold?

What does zero-order hold do?

The zero-order hold (ZOH) is a mathematical model of the practical signal reconstruction done by a conventional digital-to-analog converter (DAC). That is, it describes the effect of converting a discrete-time signal to a continuous-time signal by holding each sample value for one sample interval.

What is the difference between ZOH and FOH?

The ZOH is characterized by simple implementation and low computational volume, but it increases the approximation error in the discretization of the system model. However, FOH has less approximation error but is characterized by a higher delay [32] .

What is first order hold in control system?

The first-order-hold (FOH) method is a mathematical model to reconstruct the sampled signals that could be done by a conventional digital-to-analog converter (DAC) and an analog circuit which is called an integrator. The FOH signal is reconfigured as a piecewise linear approximation of the original sampled signal.

How do you find the zero-order hold?

The zero-order hold is a method which is widely used to reconstruct the signals in real time. In the zero-order hold reconstruction method, the continuous signal is reconstructed from its samples by holding the given sample for an interval until the next sample is received.