If you have Simulink Design Optimization, you can assign the gains of the PID controller as variables and use them in a Response Optimization task.
One of the algorithms in this tool, available with Global Optimization Toolbox, is Pattern Search. One of the Pattern Search methods is genetic algorithm.
If you don't have Simulink Design Optimization (but you do have Global Optimization Toolbox) you can always write your own script in MATLAB that runs the models, collects data, and uses that as a cost function with the patternsearch function.
- Sebastian
