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Finite-time estimation of multiple exponentially-damped sinusoidal signals: A kernel-based approach

Chen, Boli; Li, Peng; Pin, Gilberto; Fedele, Giuseppe; Parisini, Thomas; (2019) Finite-time estimation of multiple exponentially-damped sinusoidal signals: A kernel-based approach. Automatica , 106 pp. 1-7. 10.1016/j.automatica.2019.04.016. Green open access

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Abstract

The problem of estimating the parameters of biased and exponentially-damped multi-sinusoidal signals is addressed in this paper by a finite-time identification scheme based on Volterra integral operators. These parameters are the amplitudes, frequencies, initial phase angles, damping factors and the offset. The proposed strategy entails the design of a new kind of kernel function that, compared to existing ones, allows for the identification of the initial conditions of the signal-generator system. The worst-case behavior of the proposed algorithm in the presence of bounded additive disturbances is fully characterized by Input-to-State Stability arguments. Numerical examples including the comparisons with some existing tools are reported to show the effectiveness of the proposed methodology.

Type: Article
Title: Finite-time estimation of multiple exponentially-damped sinusoidal signals: A kernel-based approach
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.automatica.2019.04.016
Publisher version: https://doi.org/10.1016/j.automatica.2019.04.016
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/10189799
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