We describe the implementation and characterization of a micro-mirror-array set-up based on Micro-Electro-Mechanical System (MEMS) technology for femtosecond pulse shaping in the deep UV. We demonstrate its capability of re-compressing spectrally broadened UV pulses with a closed-loop approach based on a genetic algorithm. A single-shot synchronization scheme, taking advantage of the limited duty cycle of the device and allowing on-line correction of the signal, is described. The second dimension of the MEMS chip can be used to partially reduce the spatial chirp of the beam.