An Adaptive-Observer-Based Robust Estimator of Multi-sinusoidal Signals

• Published in: IEEE transactions on automatic control Vol. 63; no. 6; pp. 1618 - 1631
• Main Authors: Chen, Boli, Pin, Gilberto, Ng, Wai M., Hui, Shu Yuen, Parisini, Thomas
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.06.2018; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive observers; Computer simulation; estimation of multi-sinusoidal signals; Frequency estimation; Observers; Parameter estimation; Phase locked loops; robust estimation; Stability analysis; Switches
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2017.2752007

This paper presents an adaptive-observer-based robust estimation methodology of the amplitudes, frequencies, and phases of biased multi-sinusoidal signals in the presence of bounded perturbations on the measurement. The parameters of the sinusoidal components are estimated online, and the update laws are individually controlled by an excitation-based switching logic enabling the update of a parameter only when the measured signal is sufficiently informative. This way doing, the algorithm is able to tackle the problem of overparameterization (i.e., when the internal model accounts for a number of sinusoids that is larger than the true spectral content) or temporarily fading sinusoidal components. The stability analysis proves the existence of a tuning parameter set, for which the estimator's dynamics are input-to-state stable with respect to bounded measurement disturbances. The performance of the proposed estimation approach is evaluated and compared with the other existing tools by extensive simulation trials and real-time experiments.