Unbiased Identification of Fractional Order System with Unknown Time-Delay Using Bias Compensation Method

Zaineb Yakoub, Omar Naifar and Dmitriy Ivanov ()
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Zaineb Yakoub: National Engineering School of Gabes, University of Gabes, Gabes 6029, Tunisia
Omar Naifar: Control and Energy Management Laboratory, National School of Engineering, Sfax University, Sfax 3038, Tunisia
Dmitriy Ivanov: Department of Mechatronics, Samara State University of Transport, 443066 Samara, Russia

Mathematics, 2022, vol. 10, issue 16, 1-19

Abstract: In the field of engineering, time-delay is a typical occurrence. In reality, the inner dynamics of many industrial processes are impacted by delay or after-effect events. This paper discusses the identification of continuous-time fractional order system with unknown time-delay using the bias compensated least squares algorithm. The basic concept is to remove the imposed bias by including a correction term into the least squares estimations. The suggested approach makes a significant contribution by the estimation, iteratively, of fractional order system coefficients as well as the orders and the time-delay using a nonlinear optimization algorithm. The main advantage of this method is to provide a simple and powerful algorithm with good accuracy. The suggest method performances are assessed through two numerical examples.

Keywords: fractional calculus; bias correction; time-delay; least squares; nonlinear optimization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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