Artificial spin ice systems are metamaterials composed of interacting nanomagnets arranged on a lattice, exhibiting geometrical frustration and emergent phenomena such as monopole excitations. We explore magnetization dynamics and monopole current control in square artificial spin ice with added vertical control elements. Using Monte Carlo simulations, we examine how localized magnetic fields from these elements influence vertex configurations and domain propagation, enabling directional and polarity control of monopole currents. The control elements suppress monopole nucleation along one edge, steering monopole flow across the lattice, sometimes even against the applied field direction. These elements also reshape the system's energy landscape, producing tailored hysteresis and guided state transitions. Our results offer a strategy for manipulating collective behaviours in artificial spin ice using localized fields. This has implications for magnetic memory, physical reservoir computing, enabling reconfigurable magnetic logic and spin-based information processing, and device architectures requiring directional magnetic charge transport.

24 pages, 11 figures including the supporting information figures. The ReplicaSim code used for GPU-accelerated Monte Carlo simulations and the supporting documentation are publicly available on GitHub: https://github.com/ju-pixel/ReplicaSim