Stabilization of discrete-time switching systems including modal nonlinearities and saturating actuators

The paper addresses the control problem of discrete-time switching systems subject to modal nonlinearities satisfying sector conditions and to saturating actuators. Such a switching system consists of a finite family of difference processes that is supervised by logical decisionmaking algorithms. Conditions based on LMIs are provided to obtain regions of absolute A-contractivity as large as possible. An illustration is presented to enlight the relevance of the proposed approach.