find the global optimum

Hello,

I am new to matlab and I have to find the global optimum of this function with those constrains. Could you please help me out?

Thank you

Answer 1

[Shubham Rawat]

Hi,

You may use this code for your reference:

%initializing variables
x = optimvar('x');
y = optimvar('y');
prob = optimproblem;

%writing objective
prob.Objective = 2*x + y;

%writing Constraints
prob.Constraints.cons1 = 1.25-x^2-y<=0;
prob.Constraints.cons2 = x+y<=1.6;
prob.Constraints.cons3 = x <=1.6;
prob.Constraints.cons4 = x >=0;
prob.Constraints.cons5 = y >=0;
prob.Constraints.cons6 = y <=1;

%initial Point
x0.x = 1;
x0.y = 0;

%solver with fmincon as optimization technique
options = optimoptions('fmincon');
sol = solve(prob, x0,'options',options);

%displaying result
fval = evaluate(prob.Objective,sol)

You may also use this documentation :

Solve optimization problem or equation problem - MATLAB solve (mathworks.com)

Hope this Helps!

[Ondrej Labik]

Thank you so much!

I actually found a way how to use fmincon function to solve it, where I did loops with different values for y and compare the fvalues. But this looks way more sophisticated.

Thanks