Optimization problem - solving problem within a loop

I have a function in which I am using a loop and also discretisation in time. It is solving a PDE using Fully implicit backward method. I want to know how to define the objective function as the values are changing within the loop with time. Also how do I specify the variables which need to be modified for optimisation.

Thank you.

Answer 1

[Yogesh Khurana]

You can use Optimization Expressions for defining objective functions and its variables inside a for-loop. Refer to the following link for more information:

https://www.mathworks.com/help/optim/ug/optimization-expressions.html

Hope it helps!

[Muzammil Ali]

I have two variables to optimise and I put it in the following form:

ratio = optimvar('ratio',1,1,'LowerBound',0,'UpperBound',1);

Dsw = optimvar('Dsw',1,1,'LowerBound',0,'UpperBound',1e-9);

But I get the following error:

Undefined function 'exp' for input arguments of type 'optim.problemdef.OptimizationExpression'.

Error in drying_optimisation_function (line 409)

DwsA=Dsw(1)*(exp(ratio(1)*(1-1/(1-((1-cf./(1+cf))*rhodropA/rhosolid))))*exp(-1.39e5*(exp(-3.32*(1-cf./(1+cf))))/8.314*(1/Tp(k)-1/298)));