How to perform linearization in Simulink and export Nyquist plot by MATLAB code

In Simulink, a block or a subsystem can be linearized and analyzed in "Linear Analysis Tool" and its transfer function shown in Bode or Nyquist plot.

I want to linearize and analysis the block with different parameters (such as delay time Tt=0.001:0.001:0.01) and see how the Nyquist plot of the block linearized at working point change accordingly. I only know that I can run the simulation in MATLAB by running

out=sim('Model.slx');

is there a command to run block linearization for a certain subsystem in Simulink, export the linearized system "linsys" back to MATLAB Workspace and draw Nyquist plot out of the "linsys" datatype?