Identification of fractional Hammerstein systems with the conformable fractional derivative

Authors:
Open Access
Publisher website
Google Scholar
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.
Funding Information
  • Sichuan Provincial Science and Technology Support Program (2023NSFSC0072)

This publication has 44 references indexed in Scilit: