Find minimum value of a function with 4 parameters
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I have a grid of 10 by 10. I have to know the coordinates of the antenas in this grid, the antenas have to be as far away from each other. I know the best place will be x1=0, y1=0 and x2=10, y2=10 or x1=10, y1=10 and x2=0, y2=0 (the oposit). But I want Matlab to find that out. Right now I have a formula to calculate the distance between the two points. The problem is, I don't know how to enter 4 variables in fmincon because I have two x variables and two y variables.
As starting position I take [5 5 5 5] (the middel of the field) and for the left/ right bound i take [0 0], [10 10].
Thank you for helping me. If you have any more questions please ask.
% Antene 1: x1 = x(1), y1 = x(2)
% Antene 2: x2 = x(3), y2 = x(4)
distanceAntenes = @(x) -sqrt((x(3)-x(1))^2+(x(4)-x(2))^2);
[x1, y1, x2, y2] = fmincon(distanceAntenes, [5 5 5 5],,,,,[0 0],[10 10])