Genetic algorithm-based identification of fractional-order systems
type: Item
instance of: scholarly article
title: Genetic algorithm-based identification of fractional-order systems
zbMATH Open document ID: 1297.93062
author: Shengxi Zhou
author: Jun-Yi Cao
author: Yangquan Chen
published in: Entropy
publication date: 2014-09-19T00:00:00Z
review text: Summary: Fractional calculus has become an increasingly popular tool for modeling the complex behaviors of physical systems from diverse domains. One of the key issues to apply fractional calculus to engineering problems is to achieve the parameter identification of fractional-order systems. A time-domain identification algorithm based on a genetic algorithm (GA) is proposed in this paper. The multi-variable parameter identification is converted into a parameter optimization by applying GA to the identification of fractional-order systems. To evaluate the identification accuracy and stability, the time-domain output error considering the condition variation is designed as the fitness function for parameter optimization. The identification process is established under various noise levels and excitation levels. The effects of external excitation and the noise level on the identification accuracy are analyzed in detail. The simulation results show that the proposed method could identify the parameters of both commensurate rate and non-commensurate rate fractional-order systems from the data with noise. It is also observed that excitation signal is an important factor influencing the identification accuracy of fractional-order systems.
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6346132
zbMATH Keywords: fractional-order systems
zbMATH Keywords: parameter identification
zbMATH Keywords: genetic algorithm
zbMATH Keywords: output error
zbMATH Keywords: noise
zbMATH Keywords: excitation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3390/e15051624
OpenAlex ID: W2063018876
cites work: On the Evaluation of Certain Sums Involving the Natural Numbers Raised to an Arbitrary Power
cites work: Q3141902
cites work: Fractional system identification for lead acid battery state of charge estimation
cites work: A pair of van der Pol oscillators coupled by fractional derivatives
cites work: Vibrational resonance in Duffing systems with fractional-order damping
cites work: Entropies based on fractional calculus
cites work: Entropy analysis of integer and fractional dynamical systems
cites work: Fractional diffusion and entropy production
cites work: Advances in Fractional Calculus
cites work: Fractional differentiation for edge detection
cites work: Fractional Multi-models of the Frog Gastrocnemius Muscle
cites work: Q4438426
cites work: Robust stability check of fractional order linear time invariant systems with interval uncertainties
cites work: Outer synchronization between fractional-order complex networks: a non-fragile observer-based control scheme
cites work: Time domain design of fractional differintegrators using least-squares
cites work: Consideration of obstacle danger level in path planning using A\(^*\) and fast-marching optimisation: Comparative study
cites work: Fractional-order control of a hexapod robot
cites work: Fractional-order Euler-Lagrange equations and formulation of Hamiltonian equations
cites work: Fractional diffusion equations by the Kansa method
cites work: Chaos in Chen's system with a fractional order
cites work: On chaos synchronization of fractional differential equations
cites work: Identification of fractional systems using an output-error technique
cites work: Identifying digital and fractional transfer functions from a frequency response
cites work: A method for modelling and simulation of fractional systems
cites work: Fractional-order system identification based on continuous order-distributions
cites work: Q4702988
DOI: 10.3390/E15051624
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description: scientific article; zbMATH DE number 6346132