INVARIANT SETS FOR DISCRETE TIME-DELAY SYSTEMS

Abstract

This study presents a methodology for computing invariant sets in discrete time-delay systems. Specifically, it focuses on computing a Robust D-invariant set, which holds significance in robust control methodologies. Zonotopes are employed for set representation, offering advantages in computation time efficiency and scalability with dimensionality. Additionally, a theorem is introduced to define the Robust D-invariant set for discrete time-delay systems in the presence of disturbances. Furthermore, the study provides an illustrative example demonstrating the computation of Robust D-invariant set for discrete time-delayed systems.