The emulation approach to digital controller design involves two steps
: (1) the design of a continuous controller to satisfy performance and
robustness objectives, and (2) the conversion of the continuous contr
oller into a digital controller with the objective of obtaining compar
able closed-loop system properties. This paper addresses the second st
ep of the emulation approach. Previously developed methods are discuss
ed, and several new methods are shown to be effective in accounting fo
r computational delay and for sample-and-hold delay in closed-loop con
trol applications. When the step response of the digitally controlled
system is required to be close to that of the corresponding continuous
system, the selection of the sampling period T and the emulation perf
ormance are related in a fundamental way. This is illustrated in a clo
sed-loop example.