How can I apply the Genetic Algorithm to this function?

P1 = 25;

P2 = 37.5;

P3 = 20;

W1 = [5, 10];

W2 = [5, 10];

W3 = [5, 10];

L1 = [40, 60];

L2 = [25, 40];

L3 = [15, 25];

r1 = [6, 15];

r2 = [6, 15];

r3 = [6, 15];

T2 = [0.25*pi, 0.5*pi];

T3 = [0, 0.5*pi];

Fa = 300

% Each moment arms

M1 = (P1^2+W1^2)/P1;

M2 = (P2^2+W2^2)/P2;

M3 = (P3^2+(sqrt((2*W3)^2-(P3-(L3-2*W3))^2)-W3)^2)/P3;

% Each contact Forces

PA = P3 + L2*cos(T3) + L1*cos(T2 + T3);

PB = P2 + L1*cost(T2);

F1 = (Fa*r1-F2*PB-F3*PA)/M1;

F2 = (Fa*r2-F3(P3+L2*cos(T3)))/M2;

F3 = (Fa*r3)/M3;

Favg = (F1+F2+F3)/3;

% Objective functions for the dimension optimization

d1 = F1+F2+F3;

d2 = (Favg-F1)^2+(Favg-F2)^2+(Favg-F3)^2;

Those are things that need to considering. Then I have to optimize the function [W1 W2 W3 L1 L2 L3 r1 r2 r3 T2 T3]

Then how can I apply genetic algorithm or any other optimization tools to find it.

pleese, help me

fdim = (d1 + 1000/(1 + d2))

[Walter Roberson]

L2 = [25, 40];

is that intended to convey the range of values for L2?

[Walter Roberson]

What is the difference between this question and https://www.mathworks.com/matlabcentral/answers/1707190-how-can-i-find-maximum-value-of-this-function?s_tid=srchtitle

Answer 1

[Nipun]

Hi Youn,

I understand that you are trying to optimize the variables based on the system of equations presented.

On surfing the MATLAB Answers portal for related queries, I found an answered question similar to your query.

Kindly refer to David Hill's answer linked here: How can I find maximum value of this function??? - MATLAB Answers - MATLAB Central (mathworks.com)

Hope this helps.

Regards,

Nipun