Upper bounds of performances guided robust hybrid controller

Abstract

In this paper the multiple models and switching controllers is used for control of system with unmodeled dynamics. The analog part of the system is described by finite set of continuous models with unmodeled dynamics. As a set of controllers is used a finite set of LQ controllers with the prescribed degree of stability. Using linear matrix inequalities it is derived LQ controllers and upper bounds for index of performances. The set of upper bounds is used for creation of switching sequence. For so given switching system the robust asymptotic stability is proved. .