Parameter identification of fractional order system using enhanced response sensitivity approach

DOI10.1016/J.CNSNS.2018.07.026OpenAlexW2883965111MaRDI QIDQ2206124

Guang Liu, Li Wang, W. L. Luo, Zhong-Rong Lu, Ji-Ke Liu

Publication date: 21 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2018.07.026

zbMATH Keywords

parameter identificationfractional order systemcomputational schemeenhanced response sensitivity approach

Mathematics Subject Classification ID

Numerical solution of inverse problems involving ordinary differential equations (65L09) Fractional ordinary differential equations (34A08)

Related Items (11)

Experiment design for elementary fractional models ⋮ System identification of MISO fractional systems: parameter and differentiation order estimation ⋮ Rapid parameter identification of linear time-delay system from noisy frequency domain data ⋮ A fractional calculus based generalized design scheme for very low-frequency oscillator using spline interpolation with sensitivity analysis ⋮ Parameters estimation using mABC algorithm applied to distributed tracking control of unknown nonlinear fractional-order multi-agent systems ⋮ A sensitivity-based nonlinear finite element model updating method for nonlinear engineering structures ⋮ A new semi-analytical approach for quasi-periodic vibrations of nonlinear systems ⋮ Extended Kalman filters for fractional‐order nonlinear continuous‐time systems containing unknown parameters with correlated colored noises ⋮ Output error MISO system identification using fractional models ⋮ Robust consensus tracking based on hABC algorithm with parameters identification for uncertain nonlinear FOMASs with external disturbances ⋮ Parameter estimation of linear fractional-order system from Laplace domain data

Cites Work

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• Iterative identification algorithm for Wiener nonlinear systems using the Newton method
• Finite element formulation of viscoelastic constitutive equations using fractional time derivatives
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• Approximations of fractional integrals and Caputo fractional derivatives
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