Question

The output of an first order hold between two consecutive sampling instants is:

(a) Constant

(b) Quadratic Function

(c) Ramp Function

(d) Exponential Function

The question was asked in my homework.

Query is from Differential Equations of Physical Systems and Dynamics of Robotic Mechanisms topic in section Mathematical Models of Physical Systems of Control Systems

Answer 1

Correct answer is (c) Ramp Function

The best I can explain: Inverse Laplace of the equation of first order hold gives the ramp function and hence the output of an first order hold between two consecutive sampling is ramp function.