MATLAB: Multivariate Nonlinear Problem With vector & matrix unknown inputs

MATLAB and Simulink Student Suitemultivariatenonlinearoptimizationsolver

Hello,
Problem description:
I have oil flow rate observed (qo_obs) and I have a model to calculate oil flow rate (qo_cal).
The model to find qo_cal is somewhat complex, and it invloved three unknowns: f, tau, and V.
f is a 9×16 matrix, tau is a 9×1 vector, V is a 9×1 vector.
each of the unkowns above has its own constraints, such as:
Sum of every column of f = 1, (How do I even write this constraint?)
any tau >0
0< V<C, where C is some constant I know.
Now I want to find the values of these unkowns that will yield minimum of (qo_obs-qo_cal)^2
What solver to use? and how?
Thanks,

Best Answer

It's very easy to set up all the variables and constraints with the problem-based approach.
f=optimvar('f',[9,16]);
tau=optimvar('tau',[9,1],'LowerBound',zeros(9,1));
V=optimvar('V',[9,1],'LowerBound',0,'UpperBound',C);
prob=optimproblem('ObjectiveSense','minimize');
prob.Constraints.fconstraint=sum(f)==1;
prob.Objective=_____________
Once you've defined your objective, just do 
sol=solve(prob)
Related Question