How to define multiple nonlinear inequality constraints for 'fmincon'?

Question

Li Yang 2016-4-15

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/279170-how-to-define-multiple-nonlinear-inequality-constraints-for-fmincon

评论： Ertugrul Bayir 2023-4-5

Hello, I have a question about defining nonlinear inequality constraints for 'fmincon' function. With the example in document, it seems there can only be 1 equality and 1 inequality constraint

function [c,ceq] = circlecon(x)
   c = (x(1)-1/3)^2 + (x(2)-1/3)^2 - (1/3)^2;
   ceq = [];
end

What if I have no nonlinear equality constraint but have multiple nonlinear inequality constraints? Could anyone help me on this ? Thank you!

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Answer 1

Torsten 2016-4-15

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https://ww2.mathworks.cn/matlabcentral/answers/279170-how-to-define-multiple-nonlinear-inequality-constraints-for-fmincon#answer_218026

在 MATLAB Online 中打开

function [c,ceq] = circlecon(x)
   c(1) = (x(1)-1/3)^2 + (x(2)-1/3)^2 - (1/3)^2;
   c(2) = ...;
   c(3) = ...;
   ...
   ceq = [];
end

Best wishes

Torsten.

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Ertugrul Bayir 2023-4-5

Thank you very much!

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Answer 2

amin ghorbanpour 2018-11-20

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/279170-how-to-define-multiple-nonlinear-inequality-constraints-for-fmincon#answer_348038

在 MATLAB Online 中打开

You can stack them all in one matrix:

c = []
function [c,ceq] = FUNCTION(x)
    
   for i= 1:N  % N is the number if iterations! your states for example 
       c1 = f(x(i));
       c = [c c1];
   end
   ceq = [];
end