Robust H control of phase-locked loops with polytopic type uncertainties

V. Suplin, U. Shaked*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A robust H control method is applied in the design of loop filters for phase-locked loop (PLL) carrier phase tracking. The proposed method successfully copes with large S-curve slope uncertainty and with a significant decision delay in the closed loop that may stem from the decoder and/or the equalizer there. The design problem is transformed into a state-feedback control problem where phase and gain margins should be guaranteed in spite of the uncertainty. Of all the loop filters that achieve the required margins the one that minimizes an upper bound on the effect of the phase and the measurement noise signals is derived.

Original languageEnglish
Pages (from-to)305-314
Number of pages10
JournalInternational Journal of Robust and Nonlinear Control
Issue number4
StatePublished - 15 Apr 2001


  • Mixed H/H control for polytopic uncertainty
  • PLL design
  • Robust synchronization


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