Zj. Palmor et al., MULTIRATE OUTPUT CONTROL FOR SISO NONMINIMUM-PHASE SYSTEMS, Industrial & engineering chemistry research, 33(12), 1994, pp. 3196-3201
The application of multirate output control (MROC) to SISO non-minimum
phase (NMP) systems exhibiting severe inverse response is considered
in this paper. It is shown that the MROC improves considerably the con
trol performance of such systems, and the reasons for this are clarifi
ed. A detailed comparison between the MROC and linear time-invariant (
LTI) control structures (both continuous and discrete) like the PID, I
MC, and observer/state feedback is carried out on a wide range of simp
le processes. The main advantage in the application of the MROC to NMP
systems is that a drastic improvement in disturbance attenuation can
be achieved. while maintaining similar tracking capabilities. Sufficie
ntly small sampling intervals yield an almost perfect disturbance reje
ction but degrades the robustness properties. This trade-off is discus
sed in the paper, and it is shown that an appropriate design of the MR
OC leads to good robustness properties with excellent performance inco
mparable to LTI control schemes. For the design of the MROC, a tuning
algorithm for optimal pole placement, based upon undershoot and settli
ng time, is developed for two poles and one zero systems.