Stability analysis of periodic orbit of an adaptive notch filter for frequency estimation of a periodic signal

DOI10.1016/J.AUTOMATICA.2006.08.018zbMath1137.93404OpenAlexW2091220842MaRDI QIDQ875479

M. Mojiri, A. R. Bakhshai

Publication date: 13 April 2007

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2006.08.018

zbMATH Keywords

frequency estimationperiodic signalaveraging theoremadaptive notch filterfloquet multipliers

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Estimation and detection in stochastic control theory (93E10) Asymptotic stability in control theory (93D20) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Related Items (5)

Online Frequency Estimation of Periodic Signals ⋮ Pointwise frequency responses framework for stability analysis in periodically time-varying systems ⋮ Identification of frequency of biased harmonic signal ⋮ Adaptive notch filters are local adaptive observers ⋮ Multi‐input adaptive notch filter and observer for circadian phase estimation

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Periodic motions
• Adaptive algorithms for the rejection of sinusoidal disturbances with unknown frequency
• A globally convergent frequency estimator
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Stability analysis of continuous-time periodic systems via the harmonic analysis

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