UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Robust Frequency-Adaptive Quadrature Phase-Locked-Loops with Lyapunov-certified Global Stability

Pin, Gilberto; Chen, Boli; Fedele, Giuseppe; Parisini, Thomas; (2023) Robust Frequency-Adaptive Quadrature Phase-Locked-Loops with Lyapunov-certified Global Stability. IEEE Transactions on Control Systems Technology , 31 (1) pp. 467-474. 10.1109/TCST.2022.3175319. Green open access

[thumbnail of Robust_Estimation_of_a_Sinusoidal_Signal_using_Globally_Stable_Quadrature_PLL_Algorithms.pdf]
Preview
Text
Robust_Estimation_of_a_Sinusoidal_Signal_using_Globally_Stable_Quadrature_PLL_Algorithms.pdf - Accepted Version

Download (2MB) | Preview

Abstract

This work describes and compares two phase-locked-loop (PLL) algorithms aimed at tracking a biased sinusoidal signal with unknown frequency, amplitude, and phase, with inherent robustness to dc offset. The proposed methods endow quadrature PLLs, renowned for their excellent tracking performance, with frequency-adaptation capability, while providing robust global stability certificates. The large-gain global stability, proved by Lyapunov-like arguments borrowed from adaptive control theory, represents a major benefit when compared to the conventional PLLs, whose convergence instead can be proved only locally by small-signal analysis or small-gain assumptions. In this connection, the proposed algorithms represent the first frequency-adaptive and dc-bias rejecting PLL-type architectures with Lyapunov-certified global stability. When used for signal tracking, the proposed methods are shown to outperform the adaptive observer, especially in noisy conditions. Moreover, they provide more accurate frequency estimates than existent frequency-adaptive PLLs, showing enhanced robustness in facing both phase-noise and measurement perturbations.

Type: Article
Title: Robust Frequency-Adaptive Quadrature Phase-Locked-Loops with Lyapunov-certified Global Stability
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/TCST.2022.3175319
Publisher version: https://doi.org/10.1109/TCST.2022.3175319
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: Phase locked loops , Frequency estimation , Robustness , Power system stability , Noise measurement , Tuning , Stability criteria
UCL classification: 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
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL
URI: https://discovery.ucl.ac.uk/id/eprint/10148216
Downloads since deposit
167Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item