MATLAB: How to add the non-linear constraints to gamultiobj when using ga toolbox

gamultiobjMATLAB

How to add the non-linear constraints to gamultiobj when using ga toolbox? I want to use it in multi-objective GA, but I don't know how to add the non-linear constraints.

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The first 9 arguments for gamultiobj() are the same as the first 9 arguments for ga(). (The 10th argument for ga() is different.) This includes the nonlinear constraint function.

If you are using some kind of visual tool to generate code, then if you need to you could configure it with ga and nonlinear constraints, and then you could edit the code to change ga() to gamultiobj()

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MATLAB: Gamultiobj’s options

I do not understand at all what you are asking in your first question, sorry.

For the second question, ga and gamultiobj require population members to be row vectors. In contrast, fmincon does not care whether the x0 argument is a row vector, column vector, or array, as explained here.

Alan Weiss

MATLAB mathematical toolbox documentation

MATLAB: Nonlinear Constraints with gamultiobj

Assuming all x(i)>=0, the constraints can be transformed to linear ones. Since cos(asin(z))=sqrt(1-z^2), the constraint

 x(i+1) <= cos(asin(x(i)/b))

is equivalent to

 x(i+1)^2+ x(i)^2/b^2<=1

If you make the change of variables y(i)=x(i)^2, and rewrite the problem in terms of the variables y(i), all the constraints become linear.

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Related Solutions

MATLAB: Gamultiobj’s options

MATLAB: Nonlinear Constraints with gamultiobj

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