Answer to Question #211446 in Electrical Engineering for Dhruvil

Question

Find the maximum of the function f = −2x5 +4.2x4 +2x3 - x

2 +20x − 5 in the range −8 ≤ x ≤ 

10 using the Particle Swarm Optimization method. Use 4 particles with the initial 

positions x1 = −2, x2 = 0, x3 = 1, and x4 = 3. Solve the numerical using MATLAB coding 

for 2 iterations.

Answer 1

x1=66.2

x2=-5

x3=18.2

x4=7.27

td=10^-2;

a=0;

for i= 1:10

  a=0+i;

  if( (abs(x1-x1)<td && abs(x2-x2)<td) && (abs(x3-x3)<td)&& abs(x4-x4)<td)

    x1=(-23+x2-x3+2*x4)/4;

    x2=(-21-2*x1+x3-3*x4)/6;

    x3=(-11+x1+2*x2-x4)/5;

    x4=(22+x1-2*x2+3*x3)/6;

  end

   

   k=(4*x1-x2+x3-2*x4);

   l=(2*x1+6*x2-x3+3*x4);

   m=(-x1-2*x2+5*x3+x4);

   n=(-x1+2*x2-3*x3+6*x4);

  end

rslt=[k l m n ; x1 x2 x3 x4]