Recommended way to deal with period Minuit parameter

Hi, I am fitting a function following the example here: http://root.cern.ch/drupal/content/numerical-minimization#multidim_minim but in my case one of the parameters is an angle in radians. In the Minuit manual & in a few other places there is a strong suggestion to NOT use limited variables, as it makes the problem non-linear and can have numerical issues near the limits.

So in the case of a periodic parameter like an angle over [0,2pi), what is the recommended way to deal with the periodicity? Are any of the algorithms (Migrad, Simplex, GSL, etc) likely to become confused if I don’t use limits?

Thanks,
Jean-François