Implementation of stabilizing controllers for retarded delay systems

Abstract

This paper proposes a way to efficiently implement stabilizing controllers for delay systems of the retarded type. We indeed choose a particular controller (central controller) in the set of all stabilizing controllers and decompose its transfer function in terms of stable delay systems and Finite Impulse Response (FIR) filters. The central controller is written in such a way that the corresponding Matlab/Simulink implementation scheme is obvious. We illustrate that all stabilizing controllers can be implemented by using stable components only around the central controller. We also discuss stability robustness in the presence of implementation errors. The method is illustrated in an example. Copyright (c) 2024 The Authors.