First things first from here on out ask for documention for the reasoning they were called to your house and they have to give it to you.

Before you go any further go to your neighbors and ask them are the dogs barking to much even though they should have came and talked to you first and given you the opportunity to fix the problem before calling animal control on you and see if that solves the issue.
If not from here on out every time they are called you need to call the police and file a harassment complant. They will not be able to do anything but file a report but that's want you want it's helping you build your case.

They have to come out when anonymous calls come in but get your police reports and the documentation from them coming to your house and never issuing any tickets and the dogs were in good health and go to the animal control office and talk to whoever is in charge and explain your situation and tell them it has to stop or you will be taking legal action.

In my case what they did is flag my addresses since they had been out so much under false clams and the next time someone called in the would have to leave a name and file a formal complaint. This is what we had to do to put a end to the drama,they were coming to my house twice a month like clock work for almost 7 months.