Robbersen was a member of the municipal council of Renswoude from 1978 to 1990 and also an alderman of this Utrecht municipality from 1979 to 1990. From 1991 to 2002 he was a member of the Provincial Council of Utrecht and from 1995 to 2002 a member of the provincial executive of Utrecht. From 2002 to 2007 he was mayor of Ede.