Identification of fractional order systems using modulating functions method

DY Liu, TM Laleg-Kirati, O Gibaru… - 2013 American …, 2013 - ieeexplore.ieee.org
The modulating functions method has been used for the identification of linear and nonlinear
systems. In this paper, we generalize this method to the on-line identification of fractional …

Identification of a PEMFC fractional order model

MA Taleb, O Béthoux, E Godoy - International Journal of Hydrogen Energy, 2017 - Elsevier
The present paper addresses the important issue of monitoring the operating state of the
Polymer Electrolyte Membrane Fuel Cell systems. The monitoring system takes a model …

Modulating function-based identification for fractional order systems

Y Dai, Y Wei, Y Hu, Y Wang - Neurocomputing, 2016 - Elsevier
This article deals with the identification of fractional order systems. A new algorithm based
on modulating function is presented providing recursive parameter estimation of fractional …

[HTML][HTML] Fractional order models for system identification of thermal dynamics of buildings

L Chen, B Basu, D McCabe - Energy and Buildings, 2016 - Elsevier
This study presents a class of fractional order models for system identification of thermal
dynamics of buildings. Fractional order dynamics has been found to be inherent in the …

A modified fractional-order unscented Kalman filter for nonlinear fractional-order systems

A Ramezani, B Safarinejadian - Circuits, Systems, and Signal Processing, 2018 - Springer
In this paper, a fractional-order unscented Kalman filter (FUKF) is introduced at first. Then, its
convergence is analyzed based on Lyapunov functions for nonlinear fractional-order …

Design of fractional order predictive functional control for fractional industrial processes

Q Zou, Q Jin, R Zhang - Chemometrics and Intelligent Laboratory Systems, 2016 - Elsevier
Many phenomena in practical processes cannot be accurately described by conventional
differential equations, while fractional order differential equations can describe the …

Parameter identification of fractional order Hammerstein model with two-stage piecewise nonlinearity based on iterative algorithms

J Rui, J Li, Y Chu, G Lu - Measurement, 2022 - Elsevier
This paper discusses identification of the fractional order Hammerstein model with colored
noise. The static part of the Hammerstein model is a two-stage piecewise nonlinearity, while …

Nonlinear system identification of fractional Wiener models

L Sersour, T Djamah, M Bettayeb - Nonlinear Dynamics, 2018 - Springer
The Wiener model is a case of block-oriented model, which is suitable for modeling a large
class of nonlinear systems. It consists of the cascade of two parts, where a linear dynamic …

Parametric identification of fractional-order nonlinear systems

AK Mani, MD Narayanan, M Sen - Nonlinear Dynamics, 2018 - Springer
This work presents a new method for the identification of fractional-order nonlinear systems
from time domain data. A parametric identification technique for integer-order systems using …

The design of a non-minimal state space fractional-order predictive functional controller for fractional systems of arbitrary order

N Bigdeli - Journal of Process Control, 2015 - Elsevier
In this paper, the design of the fractional-order predictive functional controller (α PFC) for the
linear fractional systems of arbitrary order has been presented. For this purpose, at first, the …