This work describes and compares two phaselocked- 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, proven by Lyapunov-like arguments borrowed from adaptive control theory, represents a major benefit compared to conventional PLLs, whose convergence instead can be proven 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.

Robust Frequency-Adaptive Quadrature PLLs with Lyapunov-certified Global Stability

G. Pin
Membro del Collaboration Group
;
T. Parisini
Membro del Collaboration Group
2023-01-01

Abstract

This work describes and compares two phaselocked- 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, proven by Lyapunov-like arguments borrowed from adaptive control theory, represents a major benefit compared to conventional PLLs, whose convergence instead can be proven 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.
2023
9-mag-2022
Pubblicato
https://ieeexplore.ieee.org/document/9782731
File in questo prodotto:
File Dimensione Formato  
Pin_Chen_Fedele_Parisini_TCST_Accepted_9_May_2022.pdf

accesso aperto

Tipologia: Bozza finale post-referaggio (post-print)
Licenza: Copyright Editore
Dimensione 2.65 MB
Formato Adobe PDF
2.65 MB Adobe PDF Visualizza/Apri
Robust_Frequency-Adaptive_Quadrature_Phase-Locked-Loops_With_Lyapunov-Certified_Global_Stability.pdf

Accesso chiuso

Tipologia: Documento in Versione Editoriale
Licenza: Copyright Editore
Dimensione 2.39 MB
Formato Adobe PDF
2.39 MB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/3028955
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 2
social impact