DISCRETE MODEL-REFERENCE ADAPTIVE-CONTROL OF CONTINUOUS-TIME LINEAR MULTIINPUT MULTIOUTPUT SYSTEMS VIA MULTIRATE SAMPLED-DATA CONTROLLERS

The use of multirate sampled-data controllers for linear multivariable time-invariant systems with unknown parameters is investigated. Such controllers contain periodically time-varying elements and a multirate sampling mechanism with different sampling periods at each system input. Their application to unknown continuous-time linear multi-input, multi-output systems results in a sampled closed-loop system for which an arbitrary discrete-time transfer function matrix can be assigned, as is shown in the present paper. The contribution of the present paper is twofold: the use of multirate sampled-data controllers in the area of model reference adaptive control; and the application, for the first time, of periodically varying controllers for model reference adaptive control of multi-input, multi-output systems.