Hybrid Control of Systems with Input Delay

In this paper the concept of multiple models and concept of switching controllers is used. The analog part of the system is described by finite set of continuous-time models with input delays. The continuous-time models include unmodeled dynamics in the form of affine matrix family. Using suitable transformation the models with input delay is converted in the delay free models. Then for multiple models, for fixed subsystem, using LMI tool, the robust LQ controller with prescribed degree of stability is derived.. The switching rule, between robust LQ controllers, is based on the selection of the best performance of the closed loop subsystems. Finally is proved that original hybrid system is stable. Copyright 2005 IFAC.