# First-order step response
# Scope: Unit-gain continuous first-order step response at one time.
# Status: illustrative worked example; engineering review pending.
# Inputs are example values. Checks are editable example requirements, not standards.

timeConstant = 0.5 s
time = 1 s
input = 1

output := input*(1-exp(-time/timeConstant))
settlingTwoPercent := -log(0.02)*timeConstant [s]

check settling time budget: settlingTwoPercent <= 3 s

scenario alternative: timeConstant = 0.4 s