First-order models for slow sampled-data multivariable systems: An asymptotic analysis

The combined modeling and control problem for
m
-input/
m
-output synchronously sampled systems
G(z)
is considered as a parameterized control problem parameterized by the sampling interval
h
. It is shown how successful designs can always be based on a rough and ready first-order model provided that the sampling rate is slow enough. One consequence of the results is a digital version of Davison's robust tuning regulator.