Set membership parameter estimation of fractional models based on bounded frequency domain data

DOI10.1016/j.cnsns.2009.05.005zbMath1221.93057OpenAlexW2088680463MaRDI QIDQ718186

Firas Khemane, Rachid Malti, Magalie Thomassin, Tarek Raïssi

Publication date: 23 September 2011

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.2009.05.005

zbMATH Keywords

system identificationfrequency-domainuncertain datafractional differentiationset membershipfractional modelscomplex interval analysisbounded errorreal interval analysis

Mathematics Subject Classification ID

Related Items (4)

Experiment design for elementary fractional models ⋮ New consistent methods for order and coefficient estimation of continuous-time errors-in-variables fractional models ⋮ Recursive set membership estimation for output-error fractional models with unknown-but-bounded errors ⋮ Order and pole locator estimation in fractional order systems using bode diagram

Uses Software

• INTOPT_90

Cites Work

• Complex sector arithmetic
• Constraint propagation with interval labels
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Set inversion via interval analysis for nonlinear bounded-error estimation
• Rigorous global search: continuous problems
• A comprehensive study of the bias and variance of frequency-response-function measurements: optimal window selection and overlapping strategies
• Complex interval arithmetic using polar form
• Resonance and Stability Conditions for Fractional Transfer Functions of the Second Kind
• Stability properties for generalized fractional differential systems
• Parametric identification of transfer functions in the frequency domain-a survey
• Identification of Fractional Models from Frequency Data
• Complex interval arithmetic
• Arithmetic of complex sets
• Multi-input multi-output ellipsoidal state bounding.
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