Hidden attractors in dynamical models of phase-locked loop circuits : limitations of simulation in MATLAB and SPICE
Kuznetsov, N., Leonov, G. A., Yuldashev, M. V., & Yuldashev, R. V. (2017). Hidden attractors in dynamical models of phase-locked loop circuits : limitations of simulation in MATLAB and SPICE. Communications in Nonlinear Science and Numerical Simulation, 51, 39-49. https://doi.org/10.1016/j.cnsns.2017.03.010
Date
2017Copyright
© 2017 Elsevier B.V. This is a final draft version of an article whose final and definitive form has been published by Elsevier. Published in this repository with the kind permission of the publisher.
During recent years it has been shown that hidden oscillations, whose basin of attraction does not overlap with small neighborhoods of equilibria, may significantly complicate simulation of dynamical models, lead to unreliable results and wrong conclusions, and cause serious damage in drilling systems, aircrafts control systems, electromechanical systems, and other applications. This article provides a survey of various phase-locked loop based circuits (used in satellite navigation systems, optical, and digital communication), where such difficulties take place in MATLAB and SPICE. Considered examples can be used for testing other phase-locked loop based circuits and simulation tools, and motivate the development and application of rigorous analytical methods for the global analysis of phase-locked loop based circuits.
Publisher
ElsevierISSN Search the Publication Forum
1007-5704Keywords
Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/26916300
Metadata
Show full item recordCollections
Related items
Showing items with similar title or keywords.
-
Hidden attractors and multistability in a modified Chua’s circuit
Wang, Ning; Zhang, Guoshan; Kuznetsov, Nikolay; Bao, Han (Elsevier BV, 2021)The first hidden chaotic attractor was discovered in a dimensionless piecewise-linear Chua’s system with a special Chua’s diode. But designing such physical Chua’s circuit is a challenging task due to the distinct slopes ... -
Hidden and self-excited attractors in radiophysical and biophysical models
Stankevich, Nataliya (University of Jyväskylä, 2017)One of the central tasks of investigation of dynamical systems is the problem of analysis of the steady (limiting) behavior of the system after the completion of transient processes, i.e., the problem of localization and ... -
Simulation of PLL with impulse signals in MATLAB: Limitations, hidden oscillations, and pull-in range
Blagov, M. V.; Kuznetsov, Nikolay; Leonov, G. A.; Yuldashev, M. V.; Yuldashev, R. V. (Institute of Electrical and Electronic Engineers, 2015) -
Coexistence of hidden attractors and multistability in counterexamples to the Kalman conjecture
Kuznetsov, N. V.; Kuznetsova, O. A.; Mokaev, T. N.; Mokaev, R. N.; Yuldashev, M. V.; Yuldashev, R. V. (IFAC; Elsevier, 2019)The Aizerman and Kalman conjectures played an important role in the theory of global stability for control systems and set two directions for its further development – the search and formulation of sufficient stability ... -
Hidden oscillations in SPICE simulation of two-phase Costas loop with non-linear VCO
Bianchi, G.; Kuznetsov, Nikolay; Leonov, Gennady A.; Seledzhi, S. M.; Yuldashev, Marat V.; Yuldashev, Renat V. (International Federation of Automatic Control (IFAC), 2016)Simulation is widely used for analysis of Costas loop based circuits. However it may be a non-trivial task, because incorrect choice of integration parameters may lead to qualitatively wrong conclusions. In this work the ...