how to solve this error in lsqnonlin of optim tool?: LSQNONLIN requires all values returned by user functions to be of data type double

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Mohammad Heidari 2018-7-20

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https://ww2.mathworks.cn/matlabcentral/answers/411326-how-to-solve-this-error-in-lsqnonlin-of-optim-tool-lsqnonlin-requires-all-values-returned-by-user

评论： Matt J 2018-7-20

I am trying to use lsnonlin from optimtool for a function I have written. I am providing the function, the start point (as: [2.5*10^7 8*10^9 1.2*10^7 1.9*10^10 91287 169948 105280 152388]) and the lower and upper bounds. when I am hitting start, it gives me this error: Error running optimization. LSQNONLIN requires all values returned by user functions to be of data type double.

Can you please help me to solve this problem. If you could say what should I change in this code, it would be great. Below is my function:

    function y=harman(x,data)
    format long
    j=1;
    for T=[453 493 523]
    ydata = [0.75;0.70;0.64;0.61;0.72;0.68;0.62;0.58;0.70;0.65;0.59;0.53];
    R=8.13;
    %Arhenious equations to relate inputs and guesses
    empty=[];
    k=repmat(empty,4,1);
    for i=1:4
     k(i)=x(i)*(exp(-1*x(i+4)/(R*T)));
    end
    k1=k(1);
    k2=k(2);
    k3=k(3);
    k4=k(4);
     syms a(t) b(t) c(t) d(t) e(t)
            eqn1=diff(a)==(-1*(k1+k3)*a);
            eqn2=diff(b)==(k1*a)-((k2+k4)*b);
            eqn3=diff(c)==(k2*b);
            eqn4=diff(d)==(k3*a);
            eqn5=diff(e)==(k4*b);
            c1=a(0)==1;
            c2=b(0)==0;
            c3=c(0)==0;
            c4=d(0)==0;
            c5=e(0)==0;
            S=dsolve(eqn1, eqn2, eqn3, eqn4, eqn5, c1, c2, c3, c4, c5);
               dSol(t)=S.d;
               eSol(t)=S.e;
               for t=[900 2400 5400 7200]
               z(j)=abs(ydata(j)-(1-(dSol(t)+eSol(t))));
                j=j+1;
               end
    end
               y=sum(z.^2);
    end