Performance Guided Hybrid LQ Controller For Time-Delay Systems

Abstract

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 discretetime
models. It is considered general case when time-delay of real process is not equal
to integer multiple of sampling time. As a set of controllers is used a finite set of LQ
controllers with the prescribed degree of stability. The switching rule is based on the
selection of the best performance of the closed-loop system. In the form of theorem is
proved that hybrid system is asymptotically stable in the Lypunov sense and
performance of system is no worse then the best non-switching strategy.