Cornell has a comprehensive article regarding bird control at:
www.fruit.cornell.edu/berry/ipm/ipmpdfs/byebyebirdiesmallfruit.pdf
in which the American Robin is mentioned specifically.
It includes sections on cultural practices, netting/physical barriers, sensory deterrents, scare tactics, and predator attraction (all starting on page 7). I was particularly interested in the usage of sugar water to combat robins as described on page 9. According to their studies, it reduced the damage by 50% though an increase of yellow jackets and Japanese beetles was noted in the second year of the trial. Hopefully, one of their many suggestions might work for you.