how to perform a multi variable optimization on matlab

i have a two variable cost function to minimize,is there specefic type of optimization to do it , i am trying some metaheuristics and when introducing the second variable it shows "not enough input variables" any recommendations please ? thank you

[Dyuman Joshi]

Please share the mathematical definition of the function you have to minimize, and the code you wrote which gave the error mentioned above.

[Anwar]

function [F] = cost function(x, Sv)
x = [0.3 x 0.8];
% Compute dx and ds
dx = diff(x);
ds = -dx;
% Define constants and parameters
dSOC = 0.40;
dSOCdis = 0.40;
dSOCmin = 0.1;
V = 384;
Q = [30, 30, 30, 30, 30, 30, 30, 30, 30];
N = 0.9;
M = 1;
R = [2, 13, 12, 8, 12, 4, 7, 1, 20];
% Ensure Sbk is a row vector
Sv = Sv(:)';
% Compute charging cost C and discharging cost D
C = (V * dx .* Q .* R * (1 / N)) .* ((1 + Sv) / 2) .* Sv.^2;
D = (V * ds .* Q .* R * (1 / M)) .* ((-1 + Sv) / 2) .* Sv.^2;
% Compute total cost J
J = C + D;
% Compute total cost F
F = sum(J);
%  constraints
if any(abs(dx) > dSOC) || any(abs(ds) > dSOCdis) || ...
        any(abs(dx) < dSOCmin) || any(abs(ds) < dSOCmin) || ...
        all(Sv == 0) || all(Sv == 1) || all(Sv == -1) || ...
        any(diff(Sv) == 0) || Sv(1) ~= 1 || Sv(end) ~= 1
    F = Inf;
end
end 

[Anwar]

for the algorithm used ive tried many metaheuristics and only worked with one variable ,is there a way to make any algorithm work with two variables or there are specefic algorithms for the task

[Walter Roberson]

%example
nvars = 23;
fun = @(xSv) costfunction(xSv(1:10), xSv(11:nvars));
[bestxSv, fval] = ga(fun, nvars);

Answer 1

[Walter Roberson]

There are several different minimizers possible. Everything except fzero() -- fzero() is restricted to one variable.

The trick is http://www.mathworks.com/help/matlab/math/parameterizing-functions.html

fun = @(XYZ) YourFunction(XYZ(1), XYZ(2), XYZ(3))