Saturated Control Problem of Switching Systems

Introduction

In this chapter, we study a switching system with linear discrete-time dynamics under unknown arbitrary switches and control saturation. The studied system is taken under complete modeling taking into account reset functions at each switch and a different system’s dimension. A feedback controller, using a linear systems technique, is derived. By this technique, we are able to provide tractable conditions ensuring asymptotic stability inside the union of all the positive invariant sets associated to each subsystem. The extension to saturated switching discrete-time singular systems is also presented. The main results of this chapter can be found in [27] with a different proofs.