In the present work, a second-order type-2 phase-locked loop (PLL) with a piecewise-linear phase detector characteristic is analyzed. An exact solution to the Gardner problem on the lock-in range is obtained for the considered model. The solution is based on a study of cycle slipping bifurcation, which improves the well-known engineering estimates.

Original languageEnglish
Article number2250138
Number of pages15
JournalInternational Journal of Bifurcation and Chaos
Volume32
Issue number9
DOIs
StatePublished - 1 Jul 2022

    Scopus subject areas

  • Modelling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

    Research areas

  • cycle slipping, Gardner problem, global stability, lock-in range, Lyapunov function, nonlinear analysis, Phase-locked loop (PLL), type-2 PLL

ID: 98811985