RIPPLE-FREE DEAD-BEAT TRACKING FOR MULTIRATE SAMPLED-DATA SYSTEMS

In this paper, a solution is given to the problem of dead-beat ripple- free tracking for a multivariable multirate sampled-data system. The s olution of such a problem is reduced to the solution of a dead-beat tr acking problem for the corresponding discrete-time periodic system by introducing an additional requirement of dead-beat control for the con trol input of the multirate sampled-data system. The conditions for th e problem solvability include the existence of a continuous-time inter nal model of all reference signals in the continuous-time plant. The d esign procedure of the periodic discrete-time compensator reduces to t he design of a dead-beat periodic controller.