Fixed-Time Stabilization of Discrete-Time Switched Linear Systems With Preview Information

Abstract

In this letter we study fixed-time stabilizability of discrete-time switched linear systems under arbitrary switching, in the presence of preview information on the switching signal. We develop a geometric framework based on a recursively defined sequence of subspaces that characterizes the set of states that can be steered to the origin within a prescribed number of steps, for a given finite preview length. A constructive procedure for computing stabilizing state-feedback laws is provided. We also analyze the limiting case of infinite preview, showing that full knowledge of the future switching sequence does not enlarge the class of fixed-time stabilizable systems. The proposed methods are illustrated via a numerical example.