ASP.NET WebAPI Global error handling filter not working when model binding error occurs

I wrote web API in .NET Framework. I made a global error filter.

 public class UnhandledExceptionFilter : ExceptionFilterAttribute
 {
    public override void OnException(HttpActionExecutedContext context)
    {
       //log somewhere 
       //Make user friendly error message
    }
 }

And I added it to global filters

config.Filters.Add(new UnhandledExceptionFilter());

This works fine when an error occurs in the controller. But it does not work when an error occurs in default model binding. Let's say I have one action and it gets one DateTime parameter.

 public class MyController: ApiController
 {
    public override void CheckBirthdate(DateTime birthdate)
    {
       throw new Exception("Test");
    }
 }

If I call MyController/CheckBirthdate?birthdate=03/05/2021 like that my global error handling works. But I call MyController/CheckBirthdate?birthdate=test like that my global error handling not works. I get back error like that

Could not convert string to DateTime: test. Path 'birthdate'

Why global error handling filter can not catch it? How can I solve it?.