One of the RC Clubs I fly at had a noise complaint that caused the County Land Use Commission to shut the club down. The Club appealed the decision and in the end the county relented but put serious restrictions on flying hours, boundary markers and an altitude limit. They freely admitted that they did not control the airspace, that was the mandate of the FAA, but they did control the use of the land. So if we wanted to have our Club on that property we would have to agree in writing to their restrictions. Bottom line was we found other property and moved the Club.

The local government may not be able to control the airspace, but the can control the use of the land where a RC plane can take off and land.