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Journal Articles International Journal of Adaptive Control and Signal Processing Year : 2022

Online continuous time system identification in the presence of impulsive terms

Abstract

Online parameters estimation algorithms are proposed for continuous time systems subject to structured perturbations. Using a distribution framework, a matrix pencil structure, whose polynomial order is characterized by the nature of the singularities describing the impulsive effects, is proposed for themodeling of perturbed systems with different disturbance types. Then, using an appropriate projection subspace, the rectangular pencils are reformulated as square generalized eigenvalue problems subject to linear constraints, from which unperturbed regression are derived. This approach allows for the implementation of recursive estimation schemes, free of penalty terms. An identifiability analysis is also conducted, and theoretical results are illustratedwith experimental and simulated data.
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Dates and versions

hal-03845680 , version 1 (09-11-2022)

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Lotfi Belkoura. Online continuous time system identification in the presence of impulsive terms. International Journal of Adaptive Control and Signal Processing, In press, ⟨10.1002/acs.3497⟩. ⟨hal-03845680⟩
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