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Robust Frequency-Adaptive PLL with Lyapunov Stability Guarantees

Chen, B; Pin, G; Fedele, G; Parisini, T; (2020) Robust Frequency-Adaptive PLL with Lyapunov Stability Guarantees. In: 2020 IEEE Conference on Control Technology and Applications (CCTA). (pp. pp. 498-503). IEEE: Montreal, QC, Canada, Canada. Green open access

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Abstract

The Global Quadrature Phase-Locked-Loop (GQPLL) is a recently-devised PLL-type architecture (based on Quadrature Signal Generation) able to track a biased sinusoidal signal with unknown frequency and amplitude. The original GQPLL formulation resorted to a non-standard non-normalized adaptive law, able to guarantee the global convergence of the estimates for arbitrarily large adaptation gains, thus enabling arbitrarily fast adaptation transients. On the other side, the non-conventional adaptation law used in the original formulation makes it difficult to apply robustifying modifications of adaptive control. In this connection, the present work presents a new formulation for the PLL internal dynamics in order to obtain a convenient 1st order linear-in-the parameters error model, which can be dealt with by a conventional non-normalized adaptive law, to which a robustifying modification such as projection can be applied. The large-gain global stability of the adaptive system is proven by Lyapunov arguments. The overall adaptive PLL is named Robustified GQPLL (RGQPLL).

Type: Proceedings paper
Title: Robust Frequency-Adaptive PLL with Lyapunov Stability Guarantees
Event: 2020 Conference on Control Technology and Applications
Location: Montreal, Canada
Dates: 24 August 2020 - 26 August 2020
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/CCTA41146.2020.9206308
Publisher version: https://doi.org/10.1109/CCTA41146.2020.9206308
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 > 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/10096692
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