To create a MATLAB function with fixed parameters that can be called multiple times without passing these parameters each time, you can utilize anonymous functions. This method allows you to capture the constant values of the parameters at the time the function handle is created.
Here's a concise way to achieve this using anonymous functions:
function stateFunction = function_builder(x, y, z)
% This anonymous function captures the values of x, y, and z
stateFunction = @(t, U) [
x * U(1); % Computes dotX using the constant value of x
y * U(2); % Computes dotY using the constant value of y
z * U(3); % Computes dotZ using the constant value of z
];
end
When you call function_builder with specific values for x, y, and z, it returns a function handle stateFunction that retains those values. The function handle stateFunction can now be used with “ode45”, and it will consistently use the provided constant values of x, y, and z for each call made by the solver.
Read more about parameterizing functions, anonymous function and the “ode” function here: