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Robust finite-time estimation of biased sinusoidal signals: A volterra operators approach

Pin, G; Chen, B; Parisini, T; (2017) Robust finite-time estimation of biased sinusoidal signals: A volterra operators approach. Automatica , 77 pp. 120-132. 10.1016/j.automatica.2016.10.031. Green open access

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Abstract

A novel finite-time convergent estimation technique is proposed for identifying the amplitude, frequency and phase of a biased sinusoidal signal. Resorting to Volterra integral operators with suitably designed kernels, the measured signal is processed yielding a set of auxiliary signals in which the influence of the unknown initial conditions is removed. A second-order sliding mode-based adaptation law–fed by the aforementioned auxiliary signals–is designed for finite-time estimation of the frequency, amplitude, and phase. The worst case behavior of the proposed algorithm in presence of the bounded additive disturbances is fully characterized by Input-to-State Stability arguments. The effectiveness of the estimation technique is evaluated and compared with other existing tools via extensive numerical simulations.

Type: Article
Title: Robust finite-time estimation of biased sinusoidal signals: A volterra operators approach
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.automatica.2016.10.031
Publisher version: http://dx.doi.org/10.1016/j.automatica.2016.10.031
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.
Keywords: Finite-time estimation, Sinusoidal parameters estimation, Volterra operator, Kernels
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/10107494
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