0000000000561693

AUTHOR

M.y. Lobachev

showing 3 related works from this author

Harmonic balance analysis of pull-in range and oscillatory behavior of third-order type 2 analog PLLs

2020

The most important design parameters of each phase-locked loop (PLL) are the local and global stability properties, and the pull-in range. To extend the pull-in range, engineers often use type 2 PLLs. However, the engineering design relies on approximations which prevent a full exploitation of the benefits of type 2 PLLs. Using an exact mathematical model and relying on a rigorous mathematical thinking this problem is revisited here and the stability and pull-in properties of the third-order type 2 analog PLLs are determined. Both the local and global stability conditions are derived. As a new idea, the harmonic balance method is used to derive the global stability conditions. That approach…

birth of oscillationselektroniset piirithold-in rangeglobal stabilityEgan conjecturethird-order PLLharmonic balance methodsäätöteoriavärähtelytdescribing functionsäätötekniikkalock-in rangephase-locked loopnonlinear analysispull-in rangetype 2 PLLmatemaattiset mallit
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О проблеме Гарднера для систем управления фазовой автоподстройкой частоты

2019

This report shows the possibilities of solving the Gardner problem of determining the lock-in range for multidimensional phase-locked loops systems. The development of analogs of classical stability criteria for the cylindrical phase space made it possible to obtain analytical estimates of the lock-in range for third-order system. peerReviewed

säätöteoriaphase-locked loopselektroniset piiritnonlinear analysisGardner problem on the lock-in rangefrequency stability criteria
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On the Gardner Problem for the Phase-Locked Loops

2019

This report shows the possibilities of solving the Gardner problem of determining the lock-in range for multidimensional phase-locked loops systems. The development of analogs of classical stability criteria for the cylindrical phase space made it possible to obtain analytical estimates of the lock-in range for third-order system.

Phase-locked loopPhysicsRange (mathematics)MultidisciplinaryPhase space010102 general mathematics0103 physical sciencesMathematical analysisDevelopment (differential geometry)0101 mathematics01 natural sciencesStability (probability)010305 fluids & plasmasДоклады Академии наук
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