Work

Identification of fractional Hammerstein systems with the conformable fractional derivative

Year: 2024

Type: article

Abstract: Summary In this article, we study parameter estimation problems for fractional commensurate Hammerstein systems utilizing the conformable fractional derivative. Two algorithms are investigated: first, the Poisson moment functions (PMF) method, aiming to transfer the fractional derivative of the measurement signal into PMF using the fractional Laplace transform and convolution; second, a proposed new instrumental variable algorithm, which is based on the conformable fractional derivative. Both algorithms have been analyzed and shown to be consistent. A comprehensive complexity analysis is provided for each algorithm. Furthermore, a kind of special time‐varying systems are discussed under the conformable fractional derivative. Finally, an example is given to illustrate the effectiveness of the proposed algorithms.

Source: International Journal of Adaptive Control and Signal Processing

DOI: 10.1002/acs.3894

Authors: Zhaoming Zhang, Wen Mi, Wei Xing Zheng

Institutions: University of Electronic Science and Technology of China, Western Sydney University

Language: English

Topic: Control Systems and Identification

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,300

Funders: National Natural Science Foundation of China, Western Sydney University, Sichuan Province Science and Technology Support Program