A recursive identification algorithm for discrete time-delay periodic linear systems

Abstract

In this paper, we propose an identification algorithm that utilizes the least squares principle based on the auxiliary model for parameter identification of discrete time-delay periodic linear systems. Initially, we introduce the period transfer operator, which adopts an input–output representation to ascertain the response of periodic systems across periods. Building on this concept, we use the auxiliary model to replace the undetermined variables in the system. Subsequently, we present an auxiliary model recursive least squares identification algorithm to identify the parameters of time-delay discrete linear periodic systems. Finally, we provide two numerical examples to demonstrate the algorithm’s effectiveness in identifying discrete time-delay periodic linear systems.