A new backward shift algorithm for system identification by a good choice of frequencies

Author:

Mi Wen1ORCID,Qian Tao2

Affiliation:

1. School of Mathematical Sciences University of Electronic Science and Technology of China Chengdu China

2. The Macau Institute of Systems Engineering Macau University of Science and Technology Macao China

Abstract

AbstractIn this study, we propose a novel backward shift algorithm for pole estimation of linear time‐invariant (LTI) systems. By making adjustments, we address the question: How should the frequencies of input signals be chosen? We select the frequencies based on algebraic accuracy in the numerical integral and use the Gaussian–Legendre formula in this process. After poles are located, the discrete Fourier transform (DFT) and the new backward shift algorithm (new BSA) along with the least squares (LS) method are used to identify the systems. Two examples show that the proposed method for pole estimation performs better and the corresponding identification algorithm is practical.

Funder

Guangzhou Municipal Science and Technology Bureau

Publisher

Wiley

Subject

Control and Systems Engineering,Electrical and Electronic Engineering,Mathematics (miscellaneous)

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