REGIONAL STABILIZATION OF SWITCHED SYSTEMS SUBJECT TO INPUT SATURATION 1

This paper investigates the stabilization of continuous-time switching systems subject to saturating actuators and bounded disturbances. Sufficient conditions are given in terms of linear matrix inequalities assuring the existence of full order dynamic switched controllers with anti-windup action that guarantee regional asymptotic stability with respect to the origin when no disturbances are considered or, in the presence of bounded disturbances, that the trajectories remain limited, for any arbitrary switching sequence. The maximization of an estimate of the domain of attraction for given bounds on the amplitude of the disturbances and on the rate of convergence, or the maximization of the rate of convergence with guaranteed region of stability can be used as optimization criteria, as illustrated by means of a numerical example.