Need Urgent Help on PSO to reflect the Mathmatical Function to MATLAB

Dear,

I have been trying to figure out how do I define my objective function on Particle Swarm Optimization (PSO) ?

My mathematical function is:

minimum g(x)= 2(x1 - 2)^2 + 3*(x1 + x2)^2 - (x1*x2)^4

And how to solve it with particle swarm optimization on Matlab ?

Not: On my solutions, I do get different minimum results on each run, however my plots shows just a line on each run..

Regards,

Answer 1

[Alan Weiss]

Did you try

fun = @(x)2*(x(1)-2)^2 + 3*(x(1)+x(2))^2 - (x(1)*x(2))^4;
[sol,fval] = particleswarm(fun,2)

You will see that this problem has no lower limit; as x(1) and x(2) tend to infinity, the objective tends to minus infinity.

Alan Weiss

MATLAB mathematical toolbox documentation