Dubai Police has an online free-of-charge service, that enables residents in the UAE to check if they have a travel ban due to financial cases in the emirate of Dubai only. To use the service you need to enter your Emirates ID card number.
The Judicial Department in Abu Dhabi has an online service called ‘Estafser’, which enables the residents of Abu Dhabi to check whether they are requested by the Public Prosecution for any claims against them. To use the service, requester must enter his/her unified number.
Before planning your travel, it is also advisable to check and/or solve any issues that might stop you at the airport immigration counters. If necessary, you may seek the assistance of a lawyer, or contact the nearest immigration/police office in your area for an advice.