  Systems operating at exceptional points (EPs) are highly responsive to small
perturbations, making them suitable for sensing applications. Although this
feature impedes the system working exactly at an EP due to imperfections
arising during the fabrication process. We propose a fast self-tuning scheme
based on Kerr nonlinearity in a coupled dielectric resonator excited through a
waveguide placed in the near-field of the resonators. We show that in a coupled
resonator with unequal Kerr-coefficients, initial distortion from EP regime can
be completely compensated. It provides an opportunity to reach very close to
the EP in a coupled resonator with detuned resonant frequencies via tuning the
intensity of the incident wave. Using time-modulation of the incident wave in
nonlinear systems to control both the gain or loss, and resonant frequencies
can be a possible approach to fully control the parameters close to an EP.
