6533b7d7fe1ef96bd1269206
RESEARCH PRODUCT
Hidden attractors in dynamical models of phase-locked loop circuits : limitations of simulation in MATLAB and SPICE
Nikolay KuznetsovG. A. LeonovM. V. YuldashevR. V. Yuldashevsubject
SPICEMATLABphase-locked loopmultistabilitytwo-phase PLLnonlinear control systemoptical costas loopsimulointisynchronizationdynamical systemhidden attractordescription
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. peerReviewed
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 |