I think it's clearer now, thank you. If I understood correctly, along with chromatine inmunoprecipitation another sample without the specific antibody is used as a control for inespecific binding and bias in the DNA sonication process. In that case I understand the FC over controls being the real representative peaks of the DNA binding protein. It was just that I thought they meant controls for induced contexts instead of the procedure controls.
For anyone who wondered the same I recomend this light introduction to ChIP-Seq experiments.