In this talk we study a class of nonlocal and non-autonomous Fokker-Planck equations that has recently been introduced in order to describe the hysteretic behaviour of many-particle systems with dynamical control. Relying on methods from asymptotic analysis we identify several parameter regimes and derive reduced evolution equations for certain macroscopic quantities. In particular, we discuss the fast reaction regime, which can be understood by adapting Kramers formula for large deviation, and the slow reaction regime, in which the dynamics is governed by a subtle interplay of parabolic and hyperbolic effects. This is joint work with Barbara Niethammer and Juan Velazquez.