I am having a problem on how to extract the values of the algebraic variables from the s function. If I use the Direct feed through I get an algebraic loop and simulation fails

I am using simulink for designing nonlinear control structures for a power plant, I am having a problem on how to extract the values of the algebraic variables from the s function. If I use the Direct feed through I end up with an algebraic loop and the simulation fails.

I have a set of nonlinear differential equations

dxdt=f(x)+g(x,u)

where u is an input vector.

some of the differential equations are of the following form

dx1/dt=f1(x)+(x-K(x,u))*u

K(x,u) is an algebraic function that depends on the states x and input u.The S function gives the states as outputs, but I also need K(x,u) as an output. Any idea how to do that?

I received a suggestion to introduce the K(x,u) as a discrete variable, but it did not work.