# interpolation applied to LTI systems

I have a series of MIMO LTIs representing the controllers for my MIMO LTI plants, which are the linearization of my nonlinear model. What is the best way to interpolate the controllers to come up with the nonlinear controller?

Interpolating the elements of $$A,B,C,D$$ representing the controllers seems terribly wrong.

I can interpolate over the output $$y$$ of each controller according to the scheduling parameter, but I was wondering whether there is a more correct / elegant way that is not a LPV synthesis.

Thanks!