MATLAB: Optimization with interdependent variables

optimization

I am using fgoalattain for a multi-objective optimization problem. In this problem, I have some parameter (x) that is dependent on two other variables (y,z). And one of those two variables (y) is dependent on the other (z). So, basically I need to do optimization on two levels for these two variables. How can I do that?

Thanks

Best Answer

Optimize with respect to z.

Anything that depend on z, including y and x, such as objectve, constraints, upper bounds..., can be written as function of z.

Related Solutions

MATLAB: How to do a multi-objective optimization with lower boundaries that are dependent on the optimized variable

If you have linear constraints, there is a particular syntax. If you have nonlinear constraints, there is another syntax.

By the way, you need to formulate your problem by putting all your variables into a single vector, usually called x.

Good luck,

Alan Weiss

MATLAB mathematical toolbox documentation

MATLAB: System of ODEs with interdependent variables

I would advise writing a derivative function for this. E.g.,

dydt = myderivative(t,y,gna,gk,gl,Vna,Vk,Vl,I)
V = y(1);
n = y(2);
h = y(3);
m = y(4);
dVdt = gna.*m^3.*h.*(Vna-V)+gk.*n^4.*(Vk-V)+gl.*(Vl-V)+I; %solve for V based on m, n, h
dndt = HH_an(V).*(1-n)-HH_bn(V).*n; %solve for n based on V
dhdt = HH_hm(V).*(1-h)-HH_bh(V).*h; %solve for h based on V
dmdt = HH_am(V).*(1-m)-HH_bm(V).*m; %solve for m based on V
dydt = [dVdt;dndt;dhdt;dmdt];
end

Then use your own solver or ode45( ).

Best Answer

Related Solutions

MATLAB: How to do a multi-objective optimization with lower boundaries that are dependent on the optimized variable

MATLAB: System of ODEs with interdependent variables

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