Event‐based global stabilization of linear systems via a saturated linear controller

Abstract

Summary This paper investigates the problem of event‐based linear control of systems subject to input saturation. First, for discrete‐time systems with neutrally stable or double‐integrator dynamics, novel event‐triggered control algorithms with non‐quadratic event‐triggering conditions are proposed to achieve global stabilization. Compared with the quadratic event‐triggering conditions, the non‐quadratic ones can further reduce unnecessary control updates for the input‐saturated systems. Furthermore, for continuous‐time systems with neutrally stable or double‐integrator dynamics, because an inherent lower bound of the inter‐event time does not exist for systems subject to input saturation, novel event‐triggered control algorithms with an appropriately selected minimum inter‐event time are proposed to achieve global stabilization. Finally, numerical examples are provided to illustrate the theoretical results. Copyright © 2015 John Wiley & Sons, Ltd.