Cool convention tests. They use https://github.com/TestStack/TestStack.ConventionTests

ConventionTests.cs

[Fact]
public void AllControllers_ShouldDerivedFromBaseController()
{
        var itemsToVerify = new Types(Types.InAssemblyOf<BaseController>().Where(c => c.IsSubclassOf(typeof(Controller)) && !c.IsAbstract).ToList(), "ControllersTests");

        TestStack.ConventionTests.Convention.Is(new MvcControllerNameAndCustomBaseClassConvention(), itemsToVerify);
}

public class MvcControllerNameAndCustomBaseClassConvention : IConvention<Types>
{
        public void Execute(Types data, IConventionResultContext result)
        {
            var controllers = data.TypesToVerify.Where(t => t.IsAbstract || !t.Name.EndsWith("Controller") || !t.IsSubclassOf(typeof(BaseController)));
            result.Is("Types must be derived from BaseController class and it's name should ends with Controller", controllers);
        }

        public string ConventionReason => "Check if all controllers have propper base class and name";
}