On the stabilization of linear discrete time systems subject to input saturation

Abstract

In this paper, an exponentially unstable linear discrete time system subject to input saturation is shown to be exponentially stabilizable on any compact subset of the constrained asymptotically stabilizable set by a linear periodic variable structure controller. We also point out that any marginally stable system 2 2 A linear system is marginally stable if Jordan blocks associated with eigenvalues on the unit circle are diagonal and all the other eigenvalues are in the open unit disk. subject to input saturation can be globally asymptotically stabilized via linear feedback.