Online continuous time system identification in the presence of impulsive terms

Summary 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 pro...

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Bibliographic Details
Published in:International journal of adaptive control and signal processing 2022-12, Vol.36 (12), p.3087-3104
Main Author: Belkoura, Lotfi
Format: Article
Language:English
Subjects:
Algorithms
Automatic Control Engineering
Computer Science
continuous time system identification
Continuous time systems
distribution theory
Eigenvalues
impulsive models
Parameter estimation
Parameter identification
Perturbation
Polynomials
System identification
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Summary:Summary 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 the modeling 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 illustrated with experimental and simulated data.
ISSN:0890-6327
1099-1115
DOI:10.1002/acs.3497