Identification of time-varying systems with smooth changes using basic Legendre functions

Subject Areas : Electronics Engineering

Amir Yaghubi ¹ , Hossein Rouzegar ² , Mehrzad Nasirian ³

1 - Department of Control Engineering, Malek-e-Ashtar University
2 - Department of Control Engineering, Malek-e-Ashtar University
3 - Malek-e-Ashtar University

Received: 2021-04-27 Accepted : 2021-04-27 Published : 2019-07-23

Keywords:

Abstract :

In this paper, we identify "variable time systems with slow changes" using Legendre basic functions. Physical phenomena behave with time-varying behavior for a variety of reasons. To model these systems, we need models with time-dependent parameters. In this paper, in order to identify, we consider a system that has time-varying parameters with slow changes. Select the input of this time-varying system of PRBS type, which is a frequency-rich signal. The results for noise cases are also largely acceptable. In this article, the system in question is called STV system for short.