In this paper, we present a study dealing with stabilizing and robust controllers synthesis, precisely the Fault Tolerant Control (FTC).The case where these controllers are Old Fashioned Glasses calculated by GIMC (Generalized Internal Model Control) structure will be developed and applied to a Phase-locked Loop (PLL) Identifier Module.In each case, we will focus on the control and the system output Wall Shelf Set (3/CN) evolutions in the defects event.We will show the control quality and the advantages offered by GIMC structure in the transitory mode and the permanent one.