How do I solve this problem at the optimization toolbox?

function Y = objective_function(X) 
x1=X(1,1);
x2=X(1,2);
       p00 =  -9.601e+04;
       p10 =       -1031;
       p01 =       -4854;
       p20 =        8810;
       p11 =       404.4;
       p02 =       359.8;
       p21 =      -228.4;
       p12 =       165.8;
       p03 =       356.1;
       
       Y = p00 + p10*x(1) + p01*x(2) + p20*x(1).^2 + p11*x(1)*x(2) + p02*x(2).^2 + p21*x(1).^2*x(2) + p12*x(1)*x(2).^2 + p03*x(2).^3;
end

This is my code.

When I run a optimization toolbox, a problem such as the picture occur.

I'd appreciate your help. Thank you!

Answer 1

[Star Strider]

It would llikely be easier to just call ga from a script —

lb = [-10 -6];
ub = [ 10  6];
nvars = 2;
[Xr,fval,exitflag,output,population,scores] = ga(@objective_function, nvars, [], [], [], [], lb, ub)

Optimization terminated: average change in the fitness value less than options.FunctionTolerance.

Xr = 1×2

-0.1234 -6.0000

fval = -1.3101e+05

exitflag = 1

output = struct with fields:
      problemtype: 'boundconstraints'
         rngstate: [1×1 struct]
      generations: 97
        funccount: 4612
          message: 'Optimization terminated: average change in the fitness value less than options.FunctionTolerance.'
    maxconstraint: 0
       hybridflag: []

population = 50×2

-0.1234 -6.0000 -0.1234 -6.0000 -0.1234 -6.0000 -0.1234 -6.0000 -0.1234 -5.9999 -0.1234 -6.0000 -0.1234 -6.0000 -0.1234 -6.0000 -0.1234 -6.0000 -0.1234 -6.0000

scores = 50×1

1.0e+05 * -1.3101 -1.3101 -1.3101 -1.3101 -1.3100 -1.3101 -1.3101 -1.3101 -1.3101 -1.3101

function Y = objective_function(X) 
x(1)=X(1,1);
x(2)=X(1,2);
       p00 =  -9.601e+04;
       p10 =       -1031;
       p01 =       -4854;
       p20 =        8810;
       p11 =       404.4;
       p02 =       359.8;
       p21 =      -228.4;
       p12 =       165.8;
       p03 =       356.1;
       
       Y = p00 + p10*x(1) + p01*x(2) + p20*x(1).^2 + p11*x(1)*x(2) + p02*x(2).^2 + p21*x(1).^2*x(2) + p12*x(1)*x(2).^2 + p03*x(2).^3;
end

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