MATLAB: Minimize vector using Fmincon

fminconfunctioninputoptimization

I want to minimize a cost function using Fmincon. My goal is to minimize "obj" such that my model has the best fit to the experimental data. 
C = importdata('Experiment6.txt')
S = C(:,1);                         % Column 84x1; experimental data


L = C(:,2);                         % Column 84x1; experimental data
F = C(:,3);                         % Column 84x1; experimental data
MEdp = 0;                           % Fixed

MEp = 196;                          % Fixed
E = ones(1,11);                     % Initial guess (Xo)
t = logspace(-4, 1,11);             % Fixed vector
Eoptimized = fmincon(@objective, E, [],[])
function obj = objective(E, MEdp, t, MEp, F, L, S)
    
    % Calculate model, returns 84x1 columns
    for i = 1:length(t)
        MEp = MEp + ( E(i) * t(i).^2 * F.^2) ./ ( 1 + ( t(i)^2 * F.^2) );
        MEdp = MEdp +  ( E(i) * t(i)* F) ./ ( 1 + ( t(i)^2 * F.^2) );
    end 
    % Cost function
    obj = sum ( ( ( (L - MEdp) -1 ).^2 ) +  ( ( (S - MEp) -1 ) .^2 ) );  
end
Objection returns a single value. I want to have E returned as an optimized vector. However, when I try to run the the code it states that it does not have enough input arguments. 
% Without this code the function works propely:
Eoptimized = fmincon(@objective, E, [],[])
The following error message appears:
Not enough input arguments.
Error in DiscreteSpectrum>objective(line 264)
    for i = 1:length(t)
Error in fmincon (line 552)
      initVals.f = feval(funfcn{3},X,varargin{:});
Error in DiscreteSpectrum (line 244)
Eoptimized = fmincon(@objective, E, [], []);
Caused by:
    Failure in initial objective function evaluation. FMINCON cannot continue.

Best Answer

You are not passing the fixed parameter variables MEdp, t, MEp, F, L, S to the objective. One way to do so is,
fun=@(E) objective(E, MEdp, t, MEp, F, L, S);
Eoptimized = fmincon(fun, E, [],[])
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