# Continuous-to-discrete model
# Scope: Exact zero-order-hold coefficients for a scalar first-order plant.
# Status: illustrative worked example; engineering review pending.
# Inputs are example values. Checks are editable example requirements, not standards.

sampleTime = 0.01 s
timeConstant = 0.1 s
gain = 2

pole := exp(-sampleTime/timeConstant)
inputCoefficient := gain*(1-pole)

check discrete pole inside unit circle: abs(pole) < 1

scenario alternative: sampleTime = 0.008 s