Maximum Likelihood Estimation of Time Delay for First Order Linear System

Abstract

Abstract-In the field of industrial control, the dynamic mathematical model of the main equipment or process of the system is established by the field data, which has become the hot spot of system identification at present. Due to various reasons from the industrial production process and means of measuring, the time delay is usually unavoidable in the process control system, if the phenomenon of time delay is not paid attention, which may lead to a sluggish response or even trigger instability. In this paper, maximum likelihood estimation of time delay is proposed for first order linear single-input-single-output (SISO) time delay system to estimate the time delay parameter. Comparative simulation experiments are provided to verify the justifiability and effectiveness of the proposed method.