MATLAB: How to add a less than constraint condition to solve the transcendental equation

genetic algorithmMATLABmatlab gui

I have tried to solve the transcendental equation by Genetic algorithm. The fitness function used for the equations is given below:
function y = myFitnes(x)
y = ((cos(x(1)) + cos(x(2)) + cos(x(3)) + cos(x(4))-0.9*(pi/2)))^2...
   +(cos(3*x(1)) + cos(3*x(2)) + cos(3*x(3)) + cos(3*x(4)))^2...
  +(cos(5*x(1)) + cos(5*x(2)) + cos(5*x(3)) + cos(5*x(4)))^2 ...
  + (cos(7*x(1)) + cos(7*x(2)) + cos(7*x(3)) + cos(7*x(4)))^2;   
end
The main code written to solve the above equation using Genetic algorithm is given below:
objFcn =@myFitnes;
nvars = 4;
LB = [0 0 0 0];
UB = [pi/2 pi/2 pi/2 pi/2];
[x, fval] = ga(objFcn,nvars,[],[],[],[],LB,UB);
How to add the constraint condition 0<x(1)<x(2)<x(3)<x(4)<pi/2; to solve the above equations.

Best Answer

    A=[1,-1,0,0;
       0, 1,-1;0;
       0, 0, 1,-1];
    b=[0;0;0];
   objFcn =@myFitnes;
  nvars = 4;
  LB = [0 0 0 0];
  UB = [pi/2 pi/2 pi/2 pi/2];
  [x, fval] = ga(objFcn,nvars,A,b,[],[],LB,UB);
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