A SWITCHING SCHEME FOR THE ROBUST STABILIZATION OF DISCRETE TIME SYSTEMS WITH UNMATCHED UNCERTAINTIES

Abstract

In this paper robust control of discrete time linear systems in presence of unmatched uncertainties is considered. Discrete time Variable Structure Control is used, and the presence of the sector, always affecting this control approach, is avoided by means of Switching Control. This latter is based on a suitable partition of the parameter space, while each single controller is based on Discrete time Variable Structure Control. It is worth noticing that the proposed approach does not depend on the duration of the sampling interval, hence it works both for sampled data system and for “pure” discrete time systems.