Using fsolve in simulink with a different equation each time

I have created this matlab scribt which solves the non-linear equation F with a given value of a. I would like to do the same in simulink. To solve the equation F for a given value of a. I have tried to use a interpreted matlab function but i can only change the initial guess not a value which is in the equation. Is it possible to do something similar in simulink?

function y = solve_theta_Be_to_theta_c(a)
    y = fsolve(@(x)Function(x,a),[1]);
end

function F = Function(x,a)
l_1 = 75;
l_2 = 105;
l_3 = 450;
l_4x = 450;
l_4y = 110;

F = (l_4x + l_1 * cos(x) - l_3 * cos(a))^2 + (l_4y + l_3 * sin(a) - l_1 * sin(x))^2 - l_2^2;
end

Answer 1

[Davide Masiello]

In Simulink, you can keep a as a generic parameter

syms x a
eqn = (450 + 75 * cos(x) - 450 * cos(a))^2 + (110 + 450 * sin(a) - 75* sin(x))^2 - 105^2 == 0;
S = solve(eqn)

S = 

Now that you have the solution, just give a a specific value and you get your answer

for a = 1:4
    fprintf('--------------------------------------------------------------------------------\n')
    fprintf('Solution for a = %d\n',a)
    subs(S)
end

--------------------------------------------------------------------------------

Solution for a = 1

ans = 

--------------------------------------------------------------------------------

Solution for a = 2

ans = 

--------------------------------------------------------------------------------

Solution for a = 3

ans = 

--------------------------------------------------------------------------------

Solution for a = 4

ans = 

[Tobias Dehn Nielsen]

It worked! Thanks!

[Davide Masiello]

My pleasure. If the answer helped, don't forget to Accept it!