Identification of Phase-Locked Loop System From Its Experimental Time Series
| Autor: | Valery V. Matrosov, Mikhail A. Mishchenko, Denis I. Bolshakov, Alexander S. Vasin, Ilya V. Sysoev |
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| Rok vydání: | 2022 |
| Předmět: |
Series (mathematics)
Mathematical model Estimation theory Chaotic Phase (waves) FOS: Physical sciences Systems and Control (eess.SY) Electrical Engineering and Systems Science - Systems and Control Nonlinear Sciences - Adaptation and Self-Organizing Systems Nonlinear system Approximation error FOS: Electrical engineering electronic engineering information engineering Harmonic Statistical physics Electrical and Electronic Engineering Adaptation and Self-Organizing Systems (nlin.AO) Mathematics |
| Zdroj: | IEEE Transactions on Circuits and Systems II: Express Briefs. 69:854-858 |
| ISSN: | 1558-3791 1549-7747 |
| DOI: | 10.1109/tcsii.2021.3122892 |
| Popis: | Phase-locked loops (PLLs) are now widely used in communication systems and have been a classic system for more than 60 years. Well-known mathematical models of such systems are constructed in a number of approximations, so questions about how they describe the experimental dynamics qualitatively and quantitatively, and how the accuracy of the model description depends on the behavior mode, remain open. One of the most direct approaches to the verification of any model is its reconstruction from the time series obtained in experiment. If it is possible to fit the model to experimental data and the resulting parameter values are close to the expected values (calculated from the first principles), the quantitative correspondence between the model and the physical object is nearly proved. In this paper, for the first time, the equations of the PLL model with a bandpass filter are reconstructed from the experimental signals of the generator in various modes. The reconstruction showed that the model known in the literature generally describes the experimental dynamics in regular and chaotic regimes. The relative error of parameter estimation is between 2% and 50% for different regimes and parameters. The reconstructed nonlinear function of phase is not harmonic and highly asymmetric in contrary to the model one. Comment: Submitted to IEEE Transactions on Circuits and Systems I: Regular Papers |
| Databáze: | OpenAIRE |
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