Abstract. -Based on dynamical density functional theory (DDFT) we consider a non-equilibrium system of interacting colloidal particles driven by a constant tilting force through a periodic, symmetric "washboard" potential. We demonstrate that, despite of pronounced spatio-temporal correlations, the particle current can be reversed by adding suitable feedback control terms to the DDFT equation of motion. We explore two distinct control protocols with time delay, focussing on either the particle positions or the density profile. Our study shows that the DDFT is an appropriate framework to implement time-delayed feedback control strategies widely used in other fields of nonlinear physics.Introduction. -Transport phenomena of Brownian particles in complex geometries are a topic receiving intense and continuos attention since decades [1][2][3]. A large number of studies has been devoted to transport in structured 1D systems such as colloids or biomolecules in microchannels [4], colloids in optical potentials [5,6], or cold atoms in optical lattices [7]. Theoretical studies of such systems have predicted spectacular effects such as ratchet mechanisms in systems with asymmetric spatial potential [1], giant diffusion [5,6,8,9] and dispersionless transport [10] in symmetric systems under constant external bias ("tilted washboards"), and the negative mobility effect [4,11]. Many of these effects have also been observed experimentally (see, e.g., [5,6,11,12]), often involving colloidal systems. A related topic is how these non-equilibrium phenomena can be manipulated by control forces [13]. Particularly promising are feedback control schemes which depend on the state of the system. A special case is the time-delayed feedback control method suggested by Pyragas [14], where the control term involves the difference between an output variable (the control target) at time t and its value at time t − τ , with τ being the delay time. This method is particularly suitable to stabilize certain, otherwise unstable (periodic) states. Moreover, a time delay naturally occurs in experiments involving feedback control due to the lag between the collection of information and the feedback. Indeed, time-delayed feedback control is nowadays used in a broad variety of non-linear systems such as lasers, neural dynamics, and excitable