ROBUST STABILITY OF UNCERTAIN LINEAR-SYSTEMS WITH SATURATING ACTUATORS

Abstract

We consider the robust stability of uncertain linear systems with saturating actuators, and present two sufficient conditions to guarantee the stability of the closed loop system. We assume that the bound of the initial state is known and that the uncertainty is unstructured. The obtained results meet our intuition that the lower bound of initial state and the higher bound of saturation level make it easy to design a controller. Finally, we show the usefulness by an example.