Design of an optimal preview controller for a kind of discrete-time systems

A kind of linear discrete-time system with multirate control setting was studied and a controller design method was presented for the system. By using discrete-time lifting technique the multirate discrete-time system was reduced to a single-rate system. And then a discrete integrator was introduced by applying state vectors augmentation. Based on the standard linear quadratic optimal prev/ew control theory, the desired preview controller was obtained.