Optimize Function Using
This example shows how to minimize a function using particle swarm in the problem-based approach when the objective is a function file, possibly of unknown content (a "black box" function). The function to minimize,
dejong5fcn(x), is included with Global Optimization Toolbox. Plot the function.
Create a 2-D optimization variable
dejong5fcn function expects the variable to be a row vector, so specify
x as a 2-element row vector.
x = optimvar("x",1,2);
dejong5fcn as the objective function, convert the function to an optimization expression using
fun = fcn2optimexpr(@dejong5fcn,x);
Create an optimization problem with the objective function
prob = optimproblem("Objective",fun);
Set variable bounds from –50 to 50 in all components. When you specify scalar bounds, the software expands the bounds to all variables.
x.LowerBound = -50; x.UpperBound = 50;
Solve the problem, specifying the
rng default % For reproducibility [sol,fval] = solve(prob,"Solver","particleswarm")
Solving problem using particleswarm. Optimization ended: relative change in the objective value over the last OPTIONS.MaxStallIterations iterations is less than OPTIONS.FunctionTolerance.
sol = struct with fields: x: [-31.9751 -31.9719]
fval = 0.9980